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Measurement-induced phase transition in periodically driven free-fermionic systems

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Pith's one-line read Periodic driving restores a measurement-induced entanglement transition in free-fermion chains.

desk verdict New setup, honest numerics, but the two extractions of γc (0.08 vs 0.05) don't match and the paper doesn't address it. read the letter →

arxiv 2412.01917 v3 pith:WB4W5ASV submitted 2024-12-02 cond-mat.stat-mech

Pallabi Chatterjee , Ranjan Modak This is my paper · ORCID
classification cond-mat.stat-mech
keywords measurement-inducedphasetransitionmonitoredfreefermionsFloquetdrivingentanglemententropyBKTquantumstatediffusionsine-Gordonmodelarealaw
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

The paper asks whether a periodic modulation of the hopping amplitude can change the fate of measurement-induced entanglement phases in a free-fermion chain monitored by continuous site-density measurements. Its central claim is that it can: in the high-frequency limit the driven system behaves like an undriven chain with effective hopping $J_{\rm eff}=\epsilon/2$, and a renormalization-group analysis of the non-Hermitian sine-Gordon model predicts that a symmetric drive ($\epsilon=0$) always settles into the area-law phase, while asymmetry promotes entanglement growth. For a square-pulse drive with $\epsilon=3J/4$ and period $T=5$, finite-size numerics show signatures of a Berezinskii-Kosterlitz-Thouless transition between a critical phase with logarithmic entanglement and an area-law phase at $\gamma_c = 0.05 \pm 0.014$. The authors state plainly that the data cannot exclude a finite-size crossover rather than a true thermodynamic transition, and that even in that case the crossover length scale grows with the driving period.

What carries the argument

The central object is an effective non-Hermitian Floquet sine-Gordon Hamiltonian obtained by Magnus expansion of the two-step square-pulse drive, $H^F_{\rm eff} \simeq \frac{v\epsilon}{4\pi}\int_x [(\partial_x \hat\theta_x)^2+\eta^2(\partial_x\hat\phi_x)^2] + i\lambda\int_x\cos(\sqrt{8}\hat\phi_x-1)$ with $\eta^2=1-4i\gamma/(\epsilon\pi v)$. Its dark state controls the steady-state entanglement through $S(l)=\frac13\langle\psi_D|\hat\phi_x\hat\phi_{x+l}|\psi_D\rangle$, and its perturbative RG flow equations $\partial_s\lambda=(2-8\pi/K)\lambda$, $\partial_s K=-\lambda^2 A$ decide whether the cosine is relevant (area law) or irrelevant (critical). On the numerical side the machinery is the BKT scaling collapse with the variable $(\gamma-\gamma_c)(\ln L)^2$, the cost-function minimization that extracts $\gamma_c$, and the subsystem-dependent effective central charge $c^{\rm eff}_l$ whose peak and exponential decay locate the crossover scale.

What would settle it

Compute the steady-state entanglement entropy $S(L)$ for $T=5$, $\epsilon=3J/4$, and $\gamma=0.02$ (well below the reported $\gamma_c=0.05$) up to $L\sim10^4$. The paper's fit $l_c^*\sim\gamma^{-1.8}$ puts the expected crossover at $l_c^*\sim10^3$; if the local effective central charge $c^{\rm eff}_l$ bends and $S(L)$ saturates beyond that scale, the area-law scenario wins; if the entanglement keeps growing logarithmically past that scale, the critical phase is real. A cheaper check is the connected correlation function: algebraic decay $C_{\rm corr}\sim\tilde l^{-2}$ persisting beyond $l_c^*$ supports the BKT claim, while exponential decay at accessible $\tilde l$ would support the crossover picture.

Watch

Extended reading notes

Core claim

On its own terms, the paper establishes that periodic driving adds a control knob to the measurement-induced entanglement transition. The load-bearing numerical result is the scaling collapse of the steady-state entanglement entropy using the BKT finite-size ansatz $S(L/2,L,\gamma)-S(L/2,L,\gamma_c)=F[(\gamma-\gamma_c)(\ln L)^2]$, giving $\gamma_c\approx 0.05\pm0.014$ for $T=5$ and $\epsilon=3J/4$; the local effective central charge bends beyond a length $l_c^*\sim\gamma^{-1.8}$ for $\gamma>\gamma_c$. For a zero-mean symmetric drive the same analysis yields no transition: the steady state is area law for every frequency studied. The paper also derives and verifies a high-frequency correspondence between the driven chain and an undriven chain with hopping $\epsilon/2$, which predicts $\gamma_c\propto\epsilon$ in that regime. The concluding claim is explicitly hedged: the observed transition may be a crossover, but the length scale beyond which the area law wins grows with the drive period.

Load-bearing premise

The whole transition claim rests on assuming that the BKT scaling form $F[(\gamma-\gamma_c)(\ln L)^2]$ with one true $\gamma_c$ describes the finite-size data; if the observed behavior is instead a crossover into an eventual area law, the extracted $\gamma_c$ is not a thermodynamic transition point.

Editorial extensions

If this is right

  • If the BKT transition survives, the critical measurement strength $\gamma_c$ increases as the driving period $T$ increases, so slow driving makes the critical phase more robust.
  • A symmetric zero-mean drive always produces an area-law steady state in the thermodynamic limit, independent of drive frequency and pulse shape.
  • At high frequency, the driven monitored chain is equivalent to an undriven chain with hopping $J_{\rm eff}=\epsilon/2$, so the transition point is expected to decrease linearly with $\epsilon$.
  • For any finite measurement strength the area-law crossover length $L_c$ grows roughly exponentially with $T$; for $T=100$ and $\gamma=0.05$ the fit places $L_c\sim10^{16}$, beyond any practical simulation or experiment.
  • Because the crossover scale grows so fast with $T$, even if the transition is not thermodynamically sharp, driven monitored systems will look critical on all experimentally accessible sizes, similar to a prethermal window.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • A testable consequence not pursued in the paper: $\gamma_c$ should also increase with the asymmetry $\epsilon$ at fixed $T$, and the RG prediction $\gamma_c\propto\epsilon$ in the high-frequency limit could be checked at $T\lesssim1$ where finite-size effects are milder.
  • The zero-mean symmetric-drive result suggests that the mean of the hopping over a period, not its amplitude, is the variable that controls the measurement-induced phase; if so, one could design pulse shapes with zero mean but different higher harmonics to tune the crossover length without changing $T$.
  • The paper's crossover interpretation connects to the broader question of whether monitored free fermions have any true transition at all; if area-law claims are correct, the drive does not create a new phase but postpones the area-law onset by a factor that grows exponentially with $T$, which is itself a practical resource.
  • One could probe the BKT scenario directly by measuring the connected correlation function $C_{\rm corr}\sim \tilde l^{-2}$ over a wider range of $\tilde l$ at $\gamma<\gamma_c$; an algebraic tail persisting beyond the estimated $l_c^*$ would support a genuine critical phase.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 5 minor

Summary. The manuscript studies a free-fermion tight-binding chain with periodically modulated hopping and continuous monitoring via quantum state diffusion. For square-pulse driving with asymmetry parameter epsilon, the authors derive an effective non-Hermitian sine-Gordon description in the high-frequency limit and use it to argue that symmetric driving (epsilon=0) always favors an area-law entanglement phase, while asymmetric driving promotes entanglement growth. Finite-size numerics for T=5 and epsilon=3J/4 show logarithmic growth of the steady-state entanglement entropy at small measurement rate gamma and saturation at large gamma; a BKT-type scaling collapse is used to locate a critical gamma_c, with Method 1 (Eq. 17) yielding 0.08 and Method 2 (Eq. 18) yielding 0.05 +/- 0.014. Effective central-charge and correlation-function analyses support a crossover from logarithmic to area-law behavior, with the crossover scale increasing with the driving period. For epsilon=0, the entropy saturates over accessible sizes, and the fitted crossover length Lc grows with T. The authors repeatedly and appropriately caution that a true thermodynamic BKT transition cannot be distinguished from a finite-size crossover for the system sizes available.

Significance. If the results hold, the paper identifies the drive period and drive asymmetry as experimentally accessible control parameters for measurement-induced entanglement phases in a noninteracting system, and it sharpens the ongoing debate about whether the free-fermion monitored transition is a true thermodynamic transition or an exponentially large crossover. The numerical work is careful and unusually candid: the authors report multiple diagnostics (entanglement scaling, effective central charge, correlation function decay, trajectory fluctuations), verify the high-frequency equivalence to a static chain with J_eff=epsilon/2, and explicitly state the finite-size-crossover alternative. The main weakness is that the critical-point extraction is not unique and the thermodynamic claims for symmetric driving rest on an ad hoc extrapolation.

major comments (3)
  1. [Sec. IV B, Eqs. (17)-(18), Figs. 7 and 9] The two methods presented for extracting gamma_c from the same T=5, epsilon=3J/4 data do not agree. Method 1, based on S(L/2,L) for L=80-250 in Eq. (17), yields gamma_c=0.08 (Fig. 7 lower panel and Fig. 19), while Method 2, based on S(l,800) in Eq. (18), yields gamma_c=0.05 +/- 0.014 (Fig. 9). The difference is roughly 60% of the Method 2 value and about twice its stated error bar, and no error bar is reported for Method 1. Since both fits use the same cost-function minimization in Appendix B and are presented as estimates of the same transition, this non-uniqueness is a load-bearing problem for the BKT identification and for the gamma_c line in Fig. 8. The two scaling variables are also not equivalent over the simulated window: for l=L/2, (ln L)^2 and (ln[L/pi sin(pi l/L)])^2 differ by about 30%; if the scaling function absorbs this difference, gamma_c should still be invariant. The authors' own caveat in Sec. V that a finite-size crossover cannot be ruled out makes the ambiguity more acute: if the data represent a crossover, the fitted gamma_c values are effective parameters, and their disagreement is an expected artifact. Please report both estimates with error bars, apply both scaling variables to a common L range, and either demonstrate consistency or present the result explicitly as a crossover scale with a range of values.
  2. [Sec. IV C, Eq. (20), Fig. 16, and Appendix A] The claim that the symmetric drive epsilon=0 is 'always area-law regardless of frequency' is supported by extrapolating a phenomenological two-parameter fit, f(L)=S_sat tanh(ln L / ln Lc). No justification is given for this functional form, and no alternative fits (e.g., c_eff ln L + const with a small c_eff) are compared for the epsilon=0 data; the F-test in Appendix C is applied only to epsilon=3J/4. For T=5 and T=8 the S(L) data are nearly flat over the accessible range, which is consistent with area-law behavior but also with a small logarithmic coefficient. The extrapolated Lc ~ 10^16 for T=100 is more than 13 orders of magnitude beyond the largest simulated L, so the thermodynamic statement in the abstract is stronger than the numerical evidence. To make this claim load-bearing, please show that Lc is stable under changes of the fit window, test the fit against a logarithmic model, and state explicitly that the symmetric-drive conclusion is an extrapolation.
  3. [Sec. IV A, Eqs. (13) and (16)] The high-frequency analytical prediction is not a controlled derivation. The RG flow Eq. (16) depends on hand-set initial conditions |lambda(s=0)|=0.1, |K(s=0,epsilon=2J)|=1.42pi, and an order-one coefficient A; the authors state that the marginal epsilon increases when the initial |K(2J)| is increased, so the predicted boundary at epsilon ~ 0.5J is not robust. Moreover, the Magnus truncation in Eq. (12) retains only the first-order term, while the numerical regime of central interest, T=5, is far from the high-frequency limit. The paper does clearly label this analysis as intuition-building for the numerics, but the abstract's wording that the RG 'reveals' the symmetric-drive area-law phase attributes more certainty to this calculation than the free parameters allow. Please either provide a robustness scan over the undetermined constants or soften the claim to a heuristic prediction.
minor comments (5)
  1. [Sec. I, first paragraph] The phrase 'in contracts for noninteracting systems' should read 'in contrast to noninteracting systems'.
  2. [Sec. IV B heading] The heading 'Dependancy of steady state entanglement entropy on driving frequency' contains a typo; it should be 'Dependency'.
  3. [Appendix F, Fig. 22] The no-drive panel in Fig. 22 uses J=1 and reports gamma_c=0.296, whereas the rest of the paper uses J=1/2 and Appendix D reports gamma_c=0.148 +/- 0.039; please clarify whether this is an intentional parameter choice and state it explicitly in the caption or text.
  4. [References] References 26 and 27 are duplicates, as are references 84 and 88; please consolidate the duplicated entries.
  5. [Fig. 1] The quantity plotted on the vertical axis, the 'maximum of the local effective central charge,' is not defined until Eq. (19); please define it in the caption or refer the reader to Eq. (19).

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the BKT signature is an explicitly hedged numerical hypothesis with independent consistency checks, not a reduction to the paper's inputs.

full rationale

The paper does not define its target results in terms of its inputs, and the derivation chain is self-contained in the relevant sense. The high-frequency RG predictions in Sec. IV A are imported from the external non-Hermitian sine-Gordon analysis of Ref. 58 and are explicitly labeled as intuition-builders: 'the RG scheme we used has helped us build an intuition about measurement-induced phase transitions in the presence of drive, which we will test in the subsequent section with finite-sized numerics.' The numerical check at T = 0.5 in the Fig. 6 inset independently validates the J_eff = eps/2 equivalence rather than assuming it. The T = 5 critical point is extracted by cost-function data collapse via Eqs. (17) and (18) and Appendix B, and the abstract and Sec. V repeatedly state that the transition could be a finite-size crossover: 'it is almost impossible to rule out the possibility that the transition observed here is not an actual thermodynamic transition, but a finite-size crossover between logarithmic to area law entanglement phase.' The BKT ansatz is thus an openly adopted working hypothesis, not a prediction disguised as a fit. No self-citations are load-bearing; the cited RG, central-charge, and BKT-scaling references (Refs. 58, 60, 109, 124) are external to the present authors. The internal inconsistency between Method 1 (gamma_c approx 0.08, Fig. 7) and Method 2 (gamma_c approx 0.05 +/- 0.014, Fig. 9) is a correctness and robustness concern, not a circularity: neither estimate is defined in terms of the other or of the claimed conclusion, and the paper uses Method 2 only for a self-consistency check of bending in the effective central charge. Additional limitations, such as the Appendix A warning that T = 100 data 'can mislead us to predict the usual BKT type critical to area law entanglement phase transition,' and the unresolved question of whether the bending rate chi diverges at a finite T (Sec. IV B), further reduce the strength of the claims but do not make any step circular. No fitted parameter is renamed as a prediction, and no load-bearing result reduces to its own assumptions by construction.

Assumptions & free parameters 6 free parameters · 5 assumptions · 0 invented entities

The paper does not introduce new physical entities, but its central claims rest on several imported or hand-set inputs: the contested sine-Gordon effective theory, arbitrary RG initial conditions, the assumed BKT scaling form, and a phenomenological finite-size fitting function. These are counted above.

free parameters (6)
  • |K(s=0, epsilon=2J)| = 1.42 pi
    Hand-chosen initial stiffness for the RG flow (Eq. 16) so that the no-drive limit flows to the Gaussian fixed point; the marginal epsilon at which lambda changes behavior depends on this value, per the text after Fig. 5.
  • lambda(s=0) = 0.1
    Initial sine-Gordon coupling used in the RG flow in Fig. 5; stated by the authors to be 'not special', but it co-determines which epsilon values appear marginal.
  • m (normal-ordering constant) = O(1)
    Appears in the sine-Gordon coupling lambda = gamma m^2 in Eq. (9); its value is not computed, only estimated as order one.
  • A (RG propagator coefficient) = O(1), positive
    Coefficient in the RG equation d_s K = -lambda^2 A (Eq. 16), taken from the Gaussian propagator but not calculated explicitly.
  • gamma_c (T=5, epsilon=3J/4) = 0.08 (methodology 1); 0.05 +/- 0.014 (methodology 2)
    Critical measurement strength extracted by cost-function data collapse onto the BKT ansatz (Eqs. 17-18); it is the central numerical result and is a fitted quantity.
  • Lc and Ssat (symmetric drive) = e.g., Lc ~ 10^16 for T=100, gamma=0.05; Ssat from fit
    Parameters of the ad hoc fitting function f(L) = S_sat tanh(ln L / ln Lc) (Eq. 20), used to claim area law in the thermodynamic limit for symmetric drive.
assumptions (5)
  • domain assumption The non-Hermitian sine-Gordon model (Eq. 9) describes the continuously monitored free-fermion chain, and its dark state determines the steady-state entanglement (Eq. 10).
    Imported from Ref. 58; the paper states 'there is no guarantee that any such models ... can describe the dynamics of monitored fermions on a tight-binding lattice' (Sec. IV A).
  • standard math The first-order Magnus expansion (Eq. 12) is accurate for the high-frequency regime T << 1, used for T = 0.5.
    Standard Floquet-Magnus approximation; O(T^2) commutator terms are dropped.
  • domain assumption If a transition exists for the driven system, it belongs to the BKT universality class and obeys the scaling forms in Eqs. (17) and (18).
    Assumed by analogy with the no-drive monitored free-fermion literature; the data collapse used to extract gamma_c presupposes this form.
  • ad hoc to paper The symmetric-drive entanglement data follows f(L) = S_sat tanh(ln L / ln Lc) for all L, allowing extrapolation to L -> infinity.
    This functional form is introduced in Eq. (20) purely as a fitting device; no derivation is given, yet the thermodynamic area-law conclusion depends on it.
  • domain assumption The no-drive monitored free-fermion system has a critical phase at small gamma, used as the RG baseline.
    The RG initial condition K(0) is fixed so that the epsilon = 2J limit flows to the Gaussian fixed point; this baseline is contested by Refs. 59-62, as the paper acknowledges.

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Pith. "Pith review of Measurement-induced phase transition in periodically driven free-fermionic systems." pith.science (2026). https://pith.science/paper/WB4W5ASV

@misc{pith2026241201917,
  author       = {Pith},
  title        = {Pith review of: Measurement-induced phase transition in periodically driven free-fermionic systems},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/WB4W5ASV}},
  note         = {Machine review of arXiv:2412.01917}
}
read the original abstract

It is well known that unitary evolution tends to increase entanglement, whereas continuous monitoring counteracts this growth by pinning the wavefunction trajectories to the eigenstates of the measurement operators. In this work, we investigate the fate of the measurement-induced phase transition in a periodically driven free-fermionic quantum system, where the hopping amplitude is modulated periodically in time using a square pulse. In the high-frequency limit, a renormalization group analysis of the non-Hermitian quantum sine-Gordon model [as proposed in {Phys. Rev. X 11, 041004 (2021)}] reveals that if the hopping amplitude is varied symmetrically around zero, the system always favors the area-law phase, where the steady-state entanglement entropy is independent of subsystem size. In contrast, asymmetry in the drive amplitudes tends to promote entanglement growth. Furthermore, numerical evidence for the system sizes accessible to us suggests that decreasing the drive frequency typically favors entanglement growth. For such driven systems, at least for reasonably small frequency regimes, as a function of measurement strength, we observe a potential signature of a Berezinskii-Kosterlitz-Thouless (BKT) phase transition between a gapless critical phase, characterized by logarithmic growth of entanglement entropy with subsystem size, and a gapped area-law phase. However, it is almost impossible to rule out the possibility that the transition observed here is not an actual thermodynamic transition, but a finite-size crossover between logarithmic to area law entanglement phase. Even in that scenario, the critical length scale beyond which the area law phase prevails increases with the increasing time period of driving. On the other hand, for a symmetric drive, the system consistently exhibits an area-law phase, regardless of the driving frequency.

Figures

Figures reproduced from arXiv: 2412.01917 by the authors.

Figure 1
Figure 1. FIG. 1. Schematic of our protocol, where a free-fermionic [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. The variation of the expectation value of fermionic [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figures from the paper (19 more)
Figure 5
Figure 5. Figure 5: FIG. 5. Flow of [PITH_FULL_IMAGE:figures/full_fig_p005_5.png]
Figure 3
Figure 3. Figure 3: As ϵ increases, we observe a typical increase in SE(γ). However, with further increases in γ, SE(γ) ap￾proaches zero even for finite ϵ, indicating a transition from depinning to pinning. From [PITH_FULL_IMAGE:figures/full_fig_p005_3.png]
Figure 6
Figure 6. Figure 6: FIG. 6. Stroboscopic growth of trajectory averaged entangle [PITH_FULL_IMAGE:figures/full_fig_p008_6.png]
Figure 8
Figure 8. Figure 8: FIG. 8. Color variation corresponds to the different values [PITH_FULL_IMAGE:figures/full_fig_p009_8.png]
Figure 9
Figure 9. Figure 9: lower panel shows the data collapse of the en￾tanglement entropy for different subsystem size l, with γc = 0.05 ± 0.014 calculated using the cost function min￾imization presented in the Appendix. B in [PITH_FULL_IMAGE:figures/full_fig_p009_9.png]
Figure 10
Figure 10. Figure 10: FIG. 10. Effective central charge [PITH_FULL_IMAGE:figures/full_fig_p010_10.png]
Figure 11
Figure 11. Figure 11: FIG. 11. Comparison of entanglement entropy growth for [PITH_FULL_IMAGE:figures/full_fig_p010_11.png]
Figure 12
Figure 12. Figure 12: FIG. 12. Effective central charge [PITH_FULL_IMAGE:figures/full_fig_p010_12.png]
Figure 13
Figure 13. Figure 13: FIG. 13 [PITH_FULL_IMAGE:figures/full_fig_p011_13.png]
Figure 14
Figure 14. Figure 14: FIG. 14. Comparison of entanglement entropy growth for [PITH_FULL_IMAGE:figures/full_fig_p011_14.png]
Figure 15
Figure 15. Figure 15: FIG. 15. Stroboscopic growth of trajectory averaged entangle [PITH_FULL_IMAGE:figures/full_fig_p012_15.png]
Figure 17
Figure 17. Figure 17: FIG. 17. Stroboscopical growth of trajectory averaged entan [PITH_FULL_IMAGE:figures/full_fig_p013_17.png]
Figure 18
Figure 18. Figure 18: FIG. 18. Variation of steady state entanglement entropy with [PITH_FULL_IMAGE:figures/full_fig_p014_18.png]
Figure 19
Figure 19. Figure 19: FIG. 19. Cost function [PITH_FULL_IMAGE:figures/full_fig_p014_19.png]
Figure 20
Figure 20. Figure 20: FIG. 20. Cost function [PITH_FULL_IMAGE:figures/full_fig_p015_20.png]
Figure 21
Figure 21. Figure 21: FIG. 21. Effective central charge [PITH_FULL_IMAGE:figures/full_fig_p015_21.png]
Figure 23
Figure 23. Figure 23: FIG. 23. Upper left panel: Scaling of standard devia [PITH_FULL_IMAGE:figures/full_fig_p016_23.png]
Figure 22
Figure 22. Figure 22: FIG. 22. Fluctuation vs [PITH_FULL_IMAGE:figures/full_fig_p016_22.png]
Figure 24
Figure 24. Figure 24: FIG. 24. Equal time connected correlation function at steady [PITH_FULL_IMAGE:figures/full_fig_p017_24.png]

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Reference graph

Works this paper leans on

104 extracted references · 24 canonical work pages · cited by 2 Pith papers

  1. [1]

    author author Lev \ Vidmar \ and\ author Marcos \ Rigol ,\ title title Entanglement entropy of eigenstates of quantum chaotic hamiltonians , \ 10.1103/PhysRevLett.119.220603 journal journal Phys. Rev. Lett. \ volume 119 ,\ pages 220603 ( year 2017 ) NoStop

    doi:10.1103/physrevlett.119.220603

  2. [2]

    author author Lev \ Vidmar , author Lucas \ Hackl , author Eugenio \ Bianchi , \ and\ author Marcos \ Rigol ,\ title title Entanglement entropy of eigenstates of quadratic fermionic hamiltonians , \ 10.1103/PhysRevLett.119.020601 journal journal Phys. Rev. Lett. \ volume 119 ,\ pages 020601 ( year 2017 ) NoStop

    doi:10.1103/physrevlett.119.020601

  3. [3]

    author author Lev \ Vidmar , author Lucas \ Hackl , author Eugenio \ Bianchi , \ and\ author Marcos \ Rigol ,\ title title Volume law and quantum criticality in the entanglement entropy of excited eigenstates of the quantum ising model , \ 10.1103/PhysRevLett.121.220602 journal journal Phys. Rev. Lett. \ volume 121 ,\ pages 220602 ( year 2018 ) NoStop

    work page doi:10.1103/physrevlett.121.220602

  4. [4]

    author author Lucas \ Hackl , author Lev \ Vidmar , author Marcos \ Rigol , \ and\ author Eugenio \ Bianchi ,\ title title Average eigenstate entanglement entropy of the xy chain in a transverse field and its universality for translationally invariant quadratic fermionic models , \ 10.1103/PhysRevB.99.075123 journal journal Phys. Rev. B \ volume 99 ,\ pag...

    work page doi:10.1103/physrevb.99.075123

  5. [5]

    author author Chaitanya \ Murthy \ and\ author Mark \ Srednicki ,\ title title Structure of chaotic eigenstates and their entanglement entropy , \ 10.1103/PhysRevE.100.022131 journal journal Phys. Rev. E \ volume 100 ,\ pages 022131 ( year 2019 ) NoStop

    doi:10.1103/physreve.100.022131

  6. [6]

    author author Tyler \ LeBlond , author Krishnanand \ Mallayya , author Lev \ Vidmar , \ and\ author Marcos \ Rigol ,\ title title Entanglement and matrix elements of observables in interacting integrable systems , \ 10.1103/PhysRevE.100.062134 journal journal Phys. Rev. E \ volume 100 ,\ pages 062134 ( year 2019 ) NoStop

    doi:10.1103/physreve.100.062134

  7. [7]

    author author Ranjan \ Modak \ and\ author Tanay \ Nag ,\ title title Many-body dynamics in long-range hopping models in the presence of correlated and uncorrelated disorder , \ 10.1103/PhysRevResearch.2.012074 journal journal Phys. Rev. Res. \ volume 2 ,\ pages 012074 ( year 2020 ) NoStop

    work page doi:10.1103/physrevresearch.2.012074

  8. [8]

    author author Jens \ Eisert , author Marcus \ Cramer , \ and\ author Martin B \ Plenio ,\ title title Colloquium: Area laws for the entanglement entropy , \ @noop journal journal Reviews of modern physics \ volume 82 ,\ pages 277--306 ( year 2010 ) NoStop

    2010

Show all 104 references
  1. [9]

    author author Ranjan \ Modak \ and\ author Bhabani Prasad \ Mandal ,\ title title Eigenstate entanglement entropy in a pt-invariant non-hermitian system , \ @noop journal journal Physical Review A \ volume 103 ,\ pages 062416 ( year 2021 ) NoStop

    2021

  2. [10]

    author author Rajibul \ Islam , author Ruichao \ Ma , author Philipp M \ Preiss , author M Eric Tai , author Alexander \ Lukin , author Matthew \ Rispoli , \ and\ author Markus \ Greiner ,\ title title Measuring entanglement entropy in a quantum many-body system , \ @noop jour...

    2015

  3. [11]

    author author Adam M \ Kaufman , author M Eric \ Tai , author Alexander \ Lukin , author Matthew \ Rispoli , author Robert \ Schittko , author Philipp M \ Preiss , \ and\ author Markus \ Greiner ,\ title title Quantum thermalization through entanglement in an isolated many-bod...

    2016

  4. [12]

    author author Andreas \ Osterloh , author Luigi \ Amico , author Giuseppe \ Falci , \ and\ author Rosario \ Fazio ,\ title title Scaling of entanglement close to a quantum phase transition , \ @noop journal journal Nature \ volume 416 ,\ pages 608--610 ( year 2002 ) NoStop

    2002

  5. [13]

    author author Pasquale \ Calabrese \ and\ author John \ Cardy ,\ title title Entanglement entropy and quantum field theory , \ @noop journal journal Journal of statistical mechanics: theory and experiment \ volume 2004 ,\ pages P06002 ( year 2004 ) NoStop

    2004

  6. [14]

    author author Frank \ Pollmann , author Subroto \ Mukerjee , author Ari M \ Turner , \ and\ author Joel E \ Moore ,\ title title Theory of finite-entanglement scaling at one-dimensional quantum critical points , \ @noop journal journal Physical review letters \ volume 102 ,\ p...

    2009

  7. [15]

    author author Vincenzo \ Alba \ and\ author Pasquale \ Calabrese ,\ title title Entanglement and thermodynamics after a quantum quench in integrable systems , \ @noop journal journal Proceedings of the National Academy of Sciences \ volume 114 ,\ pages 7947--7951 ( year 2017 ) NoStop

    2017

  8. [16]

    author author Shira \ Chapman , author Jens \ Eisert , author Lucas \ Hackl , author Michal P \ Heller , author Ro Jefferson , author Hugo \ Marrochio , \ and\ author Robert \ Myers ,\ title title Complexity and entanglement for thermofield double states , \ @noop journal jour...

    2019

  9. [17]

    author author Ranjan \ Modak , author Vincenzo \ Alba , \ and\ author Pasquale \ Calabrese ,\ title title Entanglement revivals as a probe of scrambling in finite quantum systems , \ @noop journal journal Journal of Statistical Mechanics: Theory and Experiment \ volume 2020 ,\...

    2020

  10. [18]

    author author P. W. \ Anderson ,\ title title Absence of diffusion in certain random lattices , \ 10.1103/PhysRev.109.1492 journal journal Phys. Rev. \ volume 109 ,\ pages 1492--1505 ( year 1958 ) NoStop

    1958 doi

  11. [19]

    \ Basko , author I.L

    author author D.M. \ Basko , author I.L. \ Aleiner , \ and\ author B.L. \ Altshuler ,\ title title Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states , \ https://doi.org/10.1016/j.aop.2005.11.014 journal journal Annals...

    doi

  12. [20]

    \ Huse ,\ title title Localization of interacting fermions at high temperature , \ 10.1103/PhysRevB.75.155111 journal journal Phys

    author author Vadim \ Oganesyan \ and\ author David A. \ Huse ,\ title title Localization of interacting fermions at high temperature , \ 10.1103/PhysRevB.75.155111 journal journal Phys. Rev. B \ volume 75 ,\ pages 155111 ( year 2007 ) NoStop

    doi

  13. [21]

    author author Marko \ Z Z nidari c c , author Toma z z \ Prosen , \ and\ author Peter \ Prelov s s ek ,\ title title Many-body localization in the heisenberg xxz magnet in a random field , \ 10.1103/PhysRevB.77.064426 journal journal Phys. Rev. B \ volume 77 ,\ pages 064426 ( ...

    doi

  14. [22]

    \ Huse ,\ title title Many-body localization phase transition , \ 10.1103/PhysRevB.82.174411 journal journal Phys

    author author Arijeet \ Pal \ and\ author David A. \ Huse ,\ title title Many-body localization phase transition , \ 10.1103/PhysRevB.82.174411 journal journal Phys. Rev. B \ volume 82 ,\ pages 174411 ( year 2010 ) NoStop

    2010 doi

  15. [23]

    Papi c \' c , \ and\ author Dmitry A

    author author Maksym \ Serbyn , author Z. Papi c \' c , \ and\ author Dmitry A. \ Abanin ,\ title title Criterion for many-body localization-delocalization phase transition , \ 10.1103/PhysRevX.5.041047 journal journal Phys. Rev. X \ volume 5 ,\ pages 041047 ( year 2015 ) NoStop

    doi

  16. [24]

    author author Ranjan \ Modak \ and\ author Subroto \ Mukerjee ,\ title title Many-body localization in the presence of a single-particle mobility edge , \ 10.1103/PhysRevLett.115.230401 journal journal Phys. Rev. Lett. \ volume 115 ,\ pages 230401 ( year 2015 ) NoStop

    doi

  17. [25]

    author author Ming \ Gong , author Gentil D. \ de Moraes Neto , author Chen \ Zha , author Yulin \ Wu , author Hao \ Rong , author Yangsen \ Ye , author Shaowei \ Li , author Qingling \ Zhu , author Shiyu \ Wang , author Youwei \ Zhao , author Futian \ Liang , author Jin \ Lin...

  18. [27]

    \ Bardarson , author Frank \ Pollmann , \ and\ author Joel E

    author author Jens H. \ Bardarson , author Frank \ Pollmann , \ and\ author Joel E. \ Moore ,\ title title Unbounded growth of entanglement in models of many-body localization , \ 10.1103/PhysRevLett.109.017202 journal journal Phys. Rev. Lett. \ volume 109 ,\ pages 017202 ( ye...

    doi

  19. [28]

    Papi c \' c , \ and\ author Dmitry A

    author author Maksym \ Serbyn , author Z. Papi c \' c , \ and\ author Dmitry A. \ Abanin ,\ title title Universal slow growth of entanglement in interacting strongly disordered systems , \ 10.1103/PhysRevLett.110.260601 journal journal Phys. Rev. Lett. \ volume 110 ,\ pages 26...

    doi

  20. [29]

    author author Yogeshwar \ Prasad \ and\ author Arti \ Garg ,\ title title Initial state dependent dynamics across the many-body localization transition , \ 10.1103/PhysRevB.105.214202 journal journal Phys. Rev. B \ volume 105 ,\ pages 214202 ( year 2022 ) NoStop

    doi

  21. [30]

    \ Huse ,\ title title Ballistic spreading of entanglement in a diffusive nonintegrable system , \ 10.1103/PhysRevLett.111.127205 journal journal Phys

    author author Hyungwon \ Kim \ and\ author David A. \ Huse ,\ title title Ballistic spreading of entanglement in a diffusive nonintegrable system , \ 10.1103/PhysRevLett.111.127205 journal journal Phys. Rev. Lett. \ volume 111 ,\ pages 127205 ( year 2013 ) NoStop

    doi

  22. [31]

    author author David J. \ Luitz , author Nicolas \ Laflorencie , \ and\ author Fabien \ Alet ,\ title title Many-body localization edge in the random-field heisenberg chain , \ 10.1103/PhysRevB.91.081103 journal journal Phys. Rev. B \ volume 91 ,\ pages 081103 ( year 2015 ) NoStop

    doi

  23. [32]

    author author Ling-Na \ Wu \ and\ author Andr\'e \ Eckardt ,\ title title Bath-induced decay of stark many-body localization , \ 10.1103/PhysRevLett.123.030602 journal journal Phys. Rev. Lett. \ volume 123 ,\ pages 030602 ( year 2019 ) NoStop

    doi

  24. [33]

    \ L\"uschen , author Pranjal \ Bordia , author Sean S

    author author Henrik P. \ L\"uschen , author Pranjal \ Bordia , author Sean S. \ Hodgman , author Michael \ Schreiber , author Saubhik \ Sarkar , author Andrew J. \ Daley , author Mark H. \ Fischer , author Ehud \ Altman , author Immanuel \ Bloch , \ and\ author Ulrich \ Schne...

    doi

  25. [34]

    \ Garrahan ,\ title title Robustness of many-body localization in the presence of dissipation , \ 10.1103/PhysRevLett.116.237203 journal journal Phys

    author author Emanuele \ Levi , author Markus \ Heyl , author Igor \ Lesanovsky , \ and\ author Juan P. \ Garrahan ,\ title title Robustness of many-body localization in the presence of dissipation , \ 10.1103/PhysRevLett.116.237203 journal journal Phys. Rev. Lett. \ volume 11...

    doi

  26. [35]

    author author Mark H \ Fischer , author Mykola \ Maksymenko , \ and\ author Ehud \ Altman ,\ title title Dynamics of a many-body-localized system coupled to a bath , \ 10.1103/PhysRevLett.116.160401 journal journal Phys. Rev. Lett. \ volume 116 ,\ pages 160401 ( year 2016 ) NoStop

    doi

  27. [36]

    author author Mariya V. \ Medvedyeva , author Toma z z \ Prosen , \ and\ author Marko \ Z Z nidari c c ,\ title title Influence of dephasing on many-body localization , \ 10.1103/PhysRevB.93.094205 journal journal Phys. Rev. B \ volume 93 ,\ pages 094205 ( year 2016 ) NoStop

    doi

  28. [37]

    author author Ryusuke \ Hamazaki , author Kohei \ Kawabata , \ and\ author Masahito \ Ueda ,\ title title Non-hermitian many-body localization , \ 10.1103/PhysRevLett.123.090603 journal journal Phys. Rev. Lett. \ volume 123 ,\ pages 090603 ( year 2019 ) NoStop

    doi

  29. [38]

    author author Jie \ Ren , author Qiaoyi \ Li , author Wei \ Li , author Zi Cai , \ and\ author Xiaoqun \ Wang ,\ title title Noise-driven universal dynamics towards an infinite temperature state , \ 10.1103/PhysRevLett.124.130602 journal journal Phys. Rev. Lett. \ volume 124 ,...

    doi

  30. [39]

    author author Gonzalo Manzano \ Paule ,\ title title Thermodynamics and synchronization in open quantum systems , \ @noop \ ( year 2018 ) NoStop

    2018

  31. [40]

    Alberton , author M

    author author O. Alberton , author M. Buchhold , \ and\ author S. Diehl ,\ title title Entanglement transition in a monitored free-fermion chain: From extended criticality to area law , \ 10.1103/PhysRevLett.126.170602 journal journal Phys. Rev. Lett. \ volume 126 ,\ pages 170...

    doi

  32. [41]

    author author Marcin \ Szyniszewski , author Oliver \ Lunt , \ and\ author Arijeet \ Pal ,\ title title Disordered monitored free fermions , \ 10.1103/PhysRevB.108.165126 journal journal Phys. Rev. B \ volume 108 ,\ pages 165126 ( year 2023 ) NoStop

    doi

  33. [42]

    author author Xiangyu \ Cao , author Antoine \ Tilloy , \ and\ author Andrea \ De Luca ,\ title title Entanglement in a fermion chain under continuous monitoring , \ @noop journal journal SciPost Physics \ volume 7 ,\ pages 024 ( year 2019 ) NoStop

    2019

  34. [43]

    author author Takaaki \ Minato , author Koudai \ Sugimoto , author Tomotaka \ Kuwahara , \ and\ author Keiji \ Saito ,\ title title Fate of measurement-induced phase transition in long-range interactions , \ 10.1103/PhysRevLett.128.010603 journal journal Phys. Rev. Lett. \ vol...

    doi

  35. [44]

    M\"uller , author S

    author author T. M\"uller , author S. Diehl , \ and\ author M. Buchhold ,\ title title Measurement-induced dark state phase transitions in long-ranged fermion systems , \ 10.1103/PhysRevLett.128.010605 journal journal Phys. Rev. Lett. \ volume 128 ,\ pages 010605 ( year 2022 ) NoStop

    doi

  36. [45]

    author author Kazuki \ Yamamoto \ and\ author Ryusuke \ Hamazaki ,\ title title Localization properties in disordered quantum many-body dynamics under continuous measurement , \ 10.1103/PhysRevB.107.L220201 journal journal Phys. Rev. B \ volume 107 ,\ pages L220201 ( year 2023...

    doi

  37. [46]

    author author Yohei \ Fuji \ and\ author Yuto \ Ashida ,\ title title Measurement-induced quantum criticality under continuous monitoring , \ 10.1103/PhysRevB.102.054302 journal journal Phys. Rev. B \ volume 102 ,\ pages 054302 ( year 2020 ) NoStop

    doi

  38. [47]

    Ladewig , author S

    author author B. Ladewig , author S. Diehl , \ and\ author M. Buchhold ,\ title title Monitored open fermion dynamics: Exploring the interplay of measurement, decoherence, and free hamiltonian evolution , \ 10.1103/PhysRevResearch.4.033001 journal journal Phys. Rev. Res. \ vol...

    doi

  39. [48]

    author author Jin Ming \ Koh , author Shi-Ning \ Sun , author Mario \ Motta , \ and\ author Austin J \ Minnich ,\ title title Measurement-induced entanglement phase transition on a superconducting quantum processor with mid-circuit readout , \ @noop journal journal Nature Phys...

    2023

  40. [49]

    Buchhold , author Y

    author author M. Buchhold , author Y. Minoguchi , author A. Altland , \ and\ author S. Diehl ,\ title title Effective theory for the measurement-induced phase transition of dirac fermions , \ 10.1103/PhysRevX.11.041004 journal journal Phys. Rev. X \ volume 11 ,\ pages 041004 (...

    doi

  41. [50]

    author author Michele \ Fava , author Lorenzo \ Piroli , author Tobias \ Swann , author Denis \ Bernard , \ and\ author Adam \ Nahum ,\ title title Nonlinear sigma models for monitored dynamics of free fermions , \ @noop journal journal Physical Review X \ volume 13 ,\ pages 0...

    2023

  42. [51]

    \ Gornyi , \ and\ author Alexander D

    author author Igor \ Poboiko , author Paul \ P\"opperl , author Igor V. \ Gornyi , \ and\ author Alexander D. \ Mirlin ,\ title title Theory of free fermions under random projective measurements , \ 10.1103/PhysRevX.13.041046 journal journal Phys. Rev. X \ volume 13 ,\ pages 0...

    doi

  43. [52]

    author author Bo Xing , author Xhek \ Turkeshi , author Marco \ Schir\'o , author Rosario \ Fazio , \ and\ author Dario \ Poletti ,\ title title Interactions and integrability in weakly monitored hamiltonian systems , \ 10.1103/PhysRevB.109.L060302 journal journal Phys. Rev. B...

    doi

  44. [53]

    Zabalo , author M

    author author A. Zabalo , author M. J. \ Gullans , author J. H. \ Wilson , author R. Vasseur , author A. W. W. \ Ludwig , author S. Gopalakrishnan , author David A. \ Huse , \ and\ author J. H. \ Pixley ,\ title title Operator scaling dimensions and multifractality at measurem...

    doi

  45. [54]

    author author Piotr \ Sierant \ and\ author Xhek \ Turkeshi ,\ title title Universal behavior beyond multifractality of wave functions at measurement-induced phase transitions , \ 10.1103/PhysRevLett.128.130605 journal journal Phys. Rev. Lett. \ volume 128 ,\ pages 130605 ( ye...

    doi

  46. [55]

    author author Hisanori \ Oshima \ and\ author Yohei \ Fuji ,\ title title Charge fluctuation and charge-resolved entanglement in a monitored quantum circuit with u(1) symmetry , \ 10.1103/PhysRevB.107.014308 journal journal Phys. Rev. B \ volume 107 ,\ pages 014308 ( year 2023...

    doi

  47. [56]

    author author Zack \ Weinstein , author Shane P. \ Kelly , author Jamir \ Marino , \ and\ author Ehud \ Altman ,\ title title Scrambling transition in a radiative random unitary circuit , \ 10.1103/PhysRevLett.131.220404 journal journal Phys. Rev. Lett. \ volume 131 ,\ pages 2...

    doi

  48. [57]

    author author Jeremy \ C\^ot\'e \ and\ author Stefanos \ Kourtis ,\ title title Entanglement phase transition with spin glass criticality , \ 10.1103/PhysRevLett.128.240601 journal journal Phys. Rev. Lett. \ volume 128 ,\ pages 240601 ( year 2022 ) NoStop

    doi

  49. [58]

    \ Yao ,\ title title Measurement-induced transition in long-range interacting quantum circuits , \ 10.1103/PhysRevLett.128.010604 journal journal Phys

    author author Maxwell \ Block , author Yimu \ Bao , author Soonwon \ Choi , author Ehud \ Altman , \ and\ author Norman Y. \ Yao ,\ title title Measurement-induced transition in long-range interacting quantum circuits , \ 10.1103/PhysRevLett.128.010604 journal journal Phys. Re...

    doi

  50. [59]

    \ Hsieh ,\ title title Measurement-protected quantum phases , \ 10.1103/PhysRevResearch.3.023200 journal journal Phys

    author author Shengqi \ Sang \ and\ author Timothy H. \ Hsieh ,\ title title Measurement-protected quantum phases , \ 10.1103/PhysRevResearch.3.023200 journal journal Phys. Rev. Res. \ volume 3 ,\ pages 023200 ( year 2021 ) NoStop

    2021 doi

  51. [60]

    author author Oliver \ Lunt , author Marcin \ Szyniszewski , \ and\ author Arijeet \ Pal ,\ title title Measurement-induced criticality and entanglement clusters: A study of one-dimensional and two-dimensional clifford circuits , \ 10.1103/PhysRevB.104.155111 journal journal P...

    doi

  52. [61]

    author author Yaodong \ Li , author Xiao \ Chen , author Andreas W. W. \ Ludwig , \ and\ author Matthew P. A. \ Fisher ,\ title title Conformal invariance and quantum nonlocality in critical hybrid circuits , \ 10.1103/PhysRevB.104.104305 journal journal Phys. Rev. B \ volume ...

    doi

  53. [62]

    author author Ruihua \ Fan , author Sagar \ Vijay , author Ashvin \ Vishwanath , \ and\ author Yi-Zhuang \ You ,\ title title Self-organized error correction in random unitary circuits with measurement , \ 10.1103/PhysRevB.103.174309 journal journal Phys. Rev. B \ volume 103 ,...

    doi

  54. [63]

    \ Gullans , author Justin H

    author author Aidan \ Zabalo , author Michael J. \ Gullans , author Justin H. \ Wilson , author Sarang \ Gopalakrishnan , author David A. \ Huse , \ and\ author J. H. \ Pixley ,\ title title Critical properties of the measurement-induced transition in random quantum circuits ,...

    doi

  55. [64]

    author author Xhek \ Turkeshi , author Rosario \ Fazio , \ and\ author Marcello \ Dalmonte ,\ title title Measurement-induced criticality in (2+1) -dimensional hybrid quantum circuits , \ 10.1103/PhysRevB.102.014315 journal journal Phys. Rev. B \ volume 102 ,\ pages 014315 ( y...

    doi

  56. [65]

    \ Gullans \ and\ author David A

    author author Michael J. \ Gullans \ and\ author David A. \ Huse ,\ title title Scalable probes of measurement-induced criticality , \ 10.1103/PhysRevLett.125.070606 journal journal Phys. Rev. Lett. \ volume 125 ,\ pages 070606 ( year 2020 a ) NoStop

    doi

  57. [66]

    \ Gullans \ and\ author David A

    author author Michael J. \ Gullans \ and\ author David A. \ Huse ,\ title title Dynamical purification phase transition induced by quantum measurements , \ 10.1103/PhysRevX.10.041020 journal journal Phys. Rev. X \ volume 10 ,\ pages 041020 ( year 2020 b ) NoStop

    doi

  58. [67]

    author author Yimu \ Bao , author Soonwon \ Choi , \ and\ author Ehud \ Altman ,\ title title Theory of the phase transition in random unitary circuits with measurements , \ 10.1103/PhysRevB.101.104301 journal journal Phys. Rev. B \ volume 101 ,\ pages 104301 ( year 2020 ) NoStop

    doi

  59. [68]

    author author Soonwon \ Choi , author Yimu \ Bao , author Xiao-Liang \ Qi , \ and\ author Ehud \ Altman ,\ title title Quantum error correction in scrambling dynamics and measurement-induced phase transition , \ 10.1103/PhysRevLett.125.030505 journal journal Phys. Rev. Lett. \...

    doi

  60. [69]

    author author Qicheng \ Tang \ and\ author W. Zhu ,\ title title Measurement-induced phase transition: A case study in the nonintegrable model by density-matrix renormalization group calculations , \ 10.1103/PhysRevResearch.2.013022 journal journal Phys. Rev. Res. \ volume 2 ,...

    doi

  61. [70]

    author author Chao-Ming \ Jian , author Yi-Zhuang \ You , author Romain \ Vasseur , \ and\ author Andreas W. W. \ Ludwig ,\ title title Measurement-induced criticality in random quantum circuits , \ 10.1103/PhysRevB.101.104302 journal journal Phys. Rev. B \ volume 101 ,\ pages...

    doi

  62. [71]

    Chahine \ and\ author M

    author author K. Chahine \ and\ author M. Buchhold ,\ title title Entanglement phases, localization, and multifractality of monitored free fermions in two dimensions , \ 10.1103/PhysRevB.110.054313 journal journal Phys. Rev. B \ volume 110 ,\ pages 054313 ( year 2024 ) NoStop

    doi

  63. [72]

    \ Martin ,\ title title Measurement-induced phase transition in a single-body tight-binding model , \ 10.1103/PhysRevB.110.L060202 journal journal Phys

    author author Tony \ Jin \ and\ author David G. \ Martin ,\ title title Measurement-induced phase transition in a single-body tight-binding model , \ 10.1103/PhysRevB.110.L060202 journal journal Phys. Rev. B \ volume 110 ,\ pages L060202 ( year 2024 ) NoStop

    doi

  64. [73]

    author author Sibaram \ Ruidas \ and\ author Sumilan \ Banerjee ,\ title title Semiclassical limit of a measurement-induced transition in many-body chaos in integrable and nonintegrable oscillator chains , \ 10.1103/PhysRevLett.132.030402 journal journal Phys. Rev. Lett. \ vol...

    doi

  65. [74]

    Sengupta ,\ title title Entanglement transitions in a periodically driven non-hermitian ising chain , \ 10.1103/PhysRevB.109.094306 journal journal Phys

    author author Tista \ Banerjee \ and\ author K. Sengupta ,\ title title Entanglement transitions in a periodically driven non-hermitian ising chain , \ 10.1103/PhysRevB.109.094306 journal journal Phys. Rev. B \ volume 109 ,\ pages 094306 ( year 2024 ) NoStop

    doi

  66. [75]

    Sengupta ,\ title title Mobility edge and multifractality in a periodically driven aubry-andr\'e model , \ 10.1103/PhysRevB.103.184309 journal journal Phys

    author author Madhumita \ Sarkar , author Roopayan \ Ghosh , author Arnab \ Sen , \ and\ author K. Sengupta ,\ title title Mobility edge and multifractality in a periodically driven aubry-andr\'e model , \ 10.1103/PhysRevB.103.184309 journal journal Phys. Rev. B \ volume 103 ,...

    doi

  67. [76]

    Sengupta ,\ title title Signatures of multifractality in a periodically driven interacting aubry-andr\'e model , \ 10.1103/PhysRevB.105.024301 journal journal Phys

    author author Madhumita \ Sarkar , author Roopayan \ Ghosh , author Arnab \ Sen , \ and\ author K. Sengupta ,\ title title Signatures of multifractality in a periodically driven interacting aubry-andr\'e model , \ 10.1103/PhysRevB.105.024301 journal journal Phys. Rev. B \ volu...

    doi

  68. [77]

    author author Tanay \ Nag , author Sthitadhi \ Roy , author Amit \ Dutta , \ and\ author Diptiman \ Sen ,\ title title Dynamical localization in a chain of hard core bosons under periodic driving , \ 10.1103/PhysRevB.89.165425 journal journal Phys. Rev. B \ volume 89 ,\ pages ...

    doi

  69. [78]

    author author Adhip \ Agarwala , author Utso \ Bhattacharya , author Amit \ Dutta , \ and\ author Diptiman \ Sen ,\ title title Effects of periodic kicking on dispersion and wave packet dynamics in graphene , \ 10.1103/PhysRevB.93.174301 journal journal Phys. Rev. B \ volume 9...

    doi

  70. [79]

    author author David J. \ Luitz , author Achilleas \ Lazarides , \ and\ author Yevgeny \ Bar Lev ,\ title title Periodic and quasiperiodic revivals in periodically driven interacting quantum systems , \ 10.1103/PhysRevB.97.020303 journal journal Phys. Rev. B \ volume 97 ,\ page...

    doi

  71. [80]

    author author Vedika \ Khemani , author Achilleas \ Lazarides , author Roderich \ Moessner , \ and\ author S. L. \ Sondhi ,\ title title Phase structure of driven quantum systems , \ 10.1103/PhysRevLett.116.250401 journal journal Phys. Rev. Lett. \ volume 116 ,\ pages 250401 (...

    doi

  72. [81]

    \ Else , author Bela \ Bauer , \ and\ author Chetan \ Nayak ,\ title title Floquet time crystals , \ 10.1103/PhysRevLett.117.090402 journal journal Phys

    author author Dominic V. \ Else , author Bela \ Bauer , \ and\ author Chetan \ Nayak ,\ title title Floquet time crystals , \ 10.1103/PhysRevLett.117.090402 journal journal Phys. Rev. Lett. \ volume 117 ,\ pages 090402 ( year 2016 ) NoStop

    doi

  73. [82]

    ,\ title title Observation of a discrete time crystal , \ @noop journal journal Nature \ volume 543 ,\ pages 217--220 ( year 2017 ) NoStop

    author author Jiehang \ Zhang , author Paul W \ Hess , author A Kyprianidis , author Petra \ Becker , author A Lee , author J Smith , author Gaetano \ Pagano , author I-D \ Potirniche , author Andrew C \ Potter , author Ashvin \ Vishwanath , et al. ,\ title title Observation o...

    2017

  74. [83]

    author author Takashi \ Oka \ and\ author Hideo \ Aoki ,\ title title Photovoltaic hall effect in graphene , \ 10.1103/PhysRevB.79.081406 journal journal Phys. Rev. B \ volume 79 ,\ pages 081406 ( year 2009 ) NoStop

    2009 doi

  75. [84]

    author author Netanel H \ Lindner , author Gil \ Refael , \ and\ author Victor \ Galitski ,\ title title Floquet topological insulator in semiconductor quantum wells , \ @noop journal journal Nature Physics \ volume 7 ,\ pages 490--495 ( year 2011 ) NoStop

    2011

  76. [85]

    author author Takuya \ Kitagawa , author Takashi \ Oka , author Arne \ Brataas , author Liang \ Fu , \ and\ author Eugene \ Demler ,\ title title Transport properties of nonequilibrium systems under the application of light: Photoinduced quantum hall insulators without landau ...

    doi

  77. [86]

    author author Arijit \ Kundu , author H. A. \ Fertig , \ and\ author Babak \ Seradjeh ,\ title title Effective theory of floquet topological transitions , \ 10.1103/PhysRevLett.113.236803 journal journal Phys. Rev. Lett. \ volume 113 ,\ pages 236803 ( year 2014 ) NoStop

    doi

  78. [87]

    Sengupta ,\ title title Signatures and conditions for phase band crossings in periodically driven integrable systems , \ 10.1103/PhysRevB.94.155122 journal journal Phys

    author author Bhaskar \ Mukherjee , author Arnab \ Sen , author Diptiman \ Sen , \ and\ author K. Sengupta ,\ title title Signatures and conditions for phase band crossings in periodically driven integrable systems , \ 10.1103/PhysRevB.94.155122 journal journal Phys. Rev. B \ ...

    doi

  79. [88]

    author author Achilleas \ Lazarides , author Arnab \ Das , \ and\ author Roderich \ Moessner ,\ title title Fate of many-body localization under periodic driving , \ 10.1103/PhysRevLett.115.030402 journal journal Phys. Rev. Lett. \ volume 115 ,\ pages 030402 ( year 2015 ) NoStop

    doi

  80. [89]

    Papi c \' c , author Fran c c ois \ Huveneers , \ and\ author Dmitry A

    author author Pedro \ Ponte , author Z. Papi c \' c , author Fran c c ois \ Huveneers , \ and\ author Dmitry A. \ Abanin ,\ title title Many-body localization in periodically driven systems , \ 10.1103/PhysRevLett.114.140401 journal journal Phys. Rev. Lett. \ volume 114 ,\ pag...

    doi

  81. [90]

    author author Stefano \ Scopa , author Gabriel T. \ Landi , author Adam \ Hammoumi , \ and\ author Dragi \ Karevski ,\ title title Exact solution of time-dependent lindblad equations with closed algebras , \ 10.1103/PhysRevA.99.022105 journal journal Phys. Rev. A \ volume 99 ,...

    doi

  82. [91]

    author author Tatsuhiko N. \ Ikeda , author Koki \ Chinzei , \ and\ author Masahiro \ Sato ,\ title title Nonequilibrium steady states in the Floquet-Lindblad systems: van Vleck's high-frequency expansion approach , \ 10.21468/SciPostPhysCore.4.4.033 journal journal SciPost Ph...

    doi

  83. [92]

    author author H. M. \ Wiseman \ and\ author G. J. \ Milburn ,\ title title Quantum theory of field-quadrature measurements , \ 10.1103/PhysRevA.47.642 journal journal Phys. Rev. A \ volume 47 ,\ pages 642--662 ( year 1993 ) NoStop

    1993 doi

  84. [93]

    author author Bernt \ ksendal \ and\ author Bernt \ ksendal ,\ title title Stochastic differential equations , \ @noop \ ( year 2003 ) NoStop

    2003

  85. [94]

    author author Brian \ Skinner , author Jonathan \ Ruhman , \ and\ author Adam \ Nahum ,\ title title Measurement-induced phase transitions in the dynamics of entanglement , \ @noop journal journal Physical Review X \ volume 9 ,\ pages 031009 ( year 2019 ) NoStop

    2019

  86. [95]

    author author Takaaki \ Minato , author Koudai \ Sugimoto , author Tomotaka \ Kuwahara , \ and\ author Keiji \ Saito ,\ title title Fate of measurement-induced phase transition in long-range interactions , \ @noop journal journal Physical review letters \ volume 128 ,\ pages 0...

    2022

  87. [96]

    author author Luigi \ Amico , author Rosario \ Fazio , author Andreas \ Osterloh , \ and\ author Vlatko \ Vedral ,\ title title Entanglement in many-body systems , \ 10.1103/RevModPhys.80.517 journal journal Rev. Mod. Phys. \ volume 80 ,\ pages 517--576 ( year 2008 ) NoStop

    doi

  88. [97]

    author author Ingo \ Peschel ,\ title title Calculation of reduced density matrices from correlation functions , \ @noop journal journal Journal of Physics A: Mathematical and General \ volume 36 ,\ pages L205 ( year 2003 ) NoStop

    2003

  89. [98]

    author author Ingo \ Peschel \ and\ author Viktor \ Eisler ,\ title title Reduced density matrices and entanglement entropy in free lattice models , \ @noop journal journal Journal of physics a: mathematical and theoretical \ volume 42 ,\ pages 504003 ( year 2009 ) NoStop

    2009

  90. [99]

    author author Horacio \ Casini \ and\ author Marina \ Huerta ,\ title title Entanglement entropy in free quantum field theory , \ @noop journal journal Journal of Physics A: Mathematical and Theoretical \ volume 42 ,\ pages 504007 ( year 2009 ) NoStop

    2009

  91. [100]

    author author Marin \ Bukov , author Luca \ D'Alessio , \ and\ author Anatoli \ Polkovnikov ,\ title title Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to floquet engineering , \ @noop journal journal Advances in Physics \ volu...

    2015

  92. [101]

    author author Daniel J \ Amit , author Yadin Y \ Goldschmidt , \ and\ author S Grinstein ,\ title title Renormalisation group analysis of the phase transition in the 2d coulomb gas, sine-gordon theory and xy-model , \ @noop journal journal Journal of Physics A: Mathematical an...

    1980

  93. [102]

    author author Kenji \ Harada \ and\ author Naoki \ Kawashima ,\ title title Universal jump in the helicity modulus of the two-dimensional quantum xy model , \ @noop journal journal Physical Review B \ volume 55 ,\ pages R11949 ( year 1997 ) NoStop

    1997

  94. [103]

    author author Piotr \ Sierant , author Maciej \ Lewenstein , author Antonello \ Scardicchio , \ and\ author Jakub \ Zakrzewski ,\ title title Stability of many-body localization in floquet systems , \ 10.1103/PhysRevB.107.115132 journal journal Phys. Rev. B \ volume 107 ,\ pag...

    doi

  95. [104]

    author author Jan \ S S untajs , author Janez \ Bon c c a , author Toma z z \ Prosen , \ and\ author Lev \ Vidmar ,\ title title Ergodicity breaking transition in finite disordered spin chains , \ 10.1103/PhysRevB.102.064207 journal journal Phys. Rev. B \ volume 102 ,\ pages 0...

    doi

  96. [105]

    \ @noop \ ( year 1950 ) NoStop

    author author Alexander McFarlane \ Mood ,\ title title Introduction to the theory of statistics. \ @noop \ ( year 1950 ) NoStop

    1950

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Reviewed August 12, 2026 · model on record in the stance chip above.