Pith. sign in

REVIEW 4 minor 120 references

This paper claims that any non-relativistic conformal many-body system driven periodically by the Hamiltonian, dilation, and special conformal generators exhibits three stroboscopic phases — exponential, oscillatory, and power-law — classif

Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗

T0 review · deepseek-v4-flash

2026-08-01 03:36 UTC pith:7VMA4OWT

load-bearing objection Exact SO(2,1) Floquet phase classification for non-relativistic CFTs, with a falsifiable experimental diagnostic; solid and worth refereeing despite being a modest extension of prior work.

arxiv 2607.27668 v1 pith:7VMA4OWT submitted 2026-07-30 hep-th cond-mat.quant-gascond-mat.str-el

Non-relativistic Floquet Conformal Field Theory

Diptarka Das , Sumit R. Das , Arnab Kundu , Krishnendu Sengupta This is my paper
classification hep-th cond-mat.quant-gascond-mat.str-el
keywords non-relativistic conformal field theoryFloquet dynamicsSO(2,1) algebradynamical phasesunitary Fermi gastrapped ultracold fermionsfidelityholography
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

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

This paper establishes that periodically driven non-relativistic conformal field theories are exactly solvable and display three distinct dynamical phases: exponential growth, oscillation, and power-law growth. Everything is controlled by a single parameter, the sign of ρ², which is built from the drive amplitudes and durations through the SO(2,1) algebra. The result is claimed to be universal for any system with non-relativistic conformal invariance, including trapped ultracold fermions near unitarity and resonant anyons. The paper also maps the hyperbolic phase to an ergosurface and the parabolic phase to an extremal Killing horizon in a holographic bulk. The relevance is that these phases are measurable, e.g. through the breathing-mode amplitude of a trapped Fermi gas.

Core claim

The central discovery is that the stroboscopic expectation value of the special conformal generator C(ℓ) in a primary state takes the exact form (Δμ1/2)(Tα₊/ρ)² sin²(ρℓ) + (Δ/2μ1)(cos ρℓ + γT/ρ sin ρℓ)². The large-ℓ behavior is set entirely by whether ρ² is positive (elliptic — oscillatory), negative (hyperbolic — exponentially growing), or zero (parabolic — power law). Equivalently, the Floquet Hamiltonian is SO(2,1)-conjugate to H + κ²C, so the three phases correspond to a harmonic trap, an inverted oscillator, and free evolution. This classification is exact for square-pulse protocols and is reproduced numerically for continuous cosine drives.

What carries the argument

The load-bearing structure is the SO(2,1) subalgebra generated by {H, D, C} inside the non-relativistic conformal algebra, with commutators [H,C]=−iD, [D,C]=−2iC, [D,H]=2iH. Each step of the drive is H + μᵢ²C, and the single-cycle evolution is computed in a 2×2 Pauli-matrix representation. The Floquet Hamiltonian is H_F = α₊H + γD + α₋C, and the phase is decided by ρ² = T²(α₊α₋ − γ²). The initial state is a highest-weight primary |Δ₀⟩_μ1 satisfying L₋|Δ⟩=0, with ⟨D⟩=0 and ⟨H⟩=μ1²⟨C⟩=Δμ1/2, which fixes the one-point functions exactly.

Load-bearing premise

The initial many-body state is a highest-weight primary of SO(2,1) — L₋ annihilates it and ⟨D⟩=0 with ⟨H⟩=μ1²⟨C⟩=Δμ1/2 — and the paper asserts, rather than proves, that the interacting unitary Fermi gas ground state has this property; off unitarity or in an imperfect trap the formulas fail after a finite number of drive cycles.

What would settle it

Measure the breathing-mode amplitude A₀ in a trapped unitary Fermi gas driven by the cosine protocol at fixed μ1, scanning μ2 and ω_D across the predicted tongue in Fig. 4(a). The phase boundary is where A₀ switches from bounded oscillation to exponential growth with drive time, and the parabolic line is where it grows linearly in t_s. If the boundary location disagrees with the parameter-free SO(2,1) prediction beyond experimental uncertainty, the primary-state assumption is violated.

Watch this falsifier — get emailed when new claim-graph text bears on it.

If this is right

  • For any square-pulse or continuous cosine drive built from H+μ²C, the stroboscopic response of C, H, D, the autocorrelators, and the fidelity is determined exactly by the half-trace cosρ, so the phase diagram is parameter-free.
  • In trapped fermions near unitarity, the cloud radius scales with C(ℓ), so the elliptic phase appears as bounded oscillation, the hyperbolic phase as exponential expansion, and the parabolic surface as linear growth.
  • The fidelity decays exponentially in the hyperbolic phase, revives periodically in the elliptic phase, and decays only linearly at the transition surface, giving an experimentally accessible scrambling diagnostic.
  • The holographic dual of the hyperbolic phase contains a timelike stationary-limit (ergo)surface, the elliptic phase has a globally timelike Killing vector, and the parabolic phase corresponds to an extremal Killing horizon.
  • The time-dependent drive is unitarily equivalent to a static trap H+W²C via the Ermakov-Pinney equation, so stable, unstable, and marginal solutions of that equation are the same three phases.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • A direct stress test is to measure ⟨D⟩ and ⟨H⟩/⟨C⟩ in a trapped Fermi gas slightly off unitarity; once the primary-state expectation values acquire corrections, the predicted phase boundary should shift, giving a controlled test of how far the universality extends.
  • The same SO(2,1) reduction suggests that quasiperiodic or aperiodic drives will still show a three-phase classification ruled by the sign of the stroboscopic Casimir, though the paper does not analyze such protocols.
  • For resonant anyons, the prediction transfers directly, so a driven anyon trap could serve as a second platform to search for the parabolic transition.
  • A sharp experimental falsifier is the oscillation amplitude A₀ after the drive is stopped: it should grow with drive time t_s in the hyperbolic phase, stay bounded in the elliptic phase, and grow linearly exactly at the parabolic line.

Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

0 major / 4 minor

Summary. The paper develops a Floquet formalism for non-relativistic CFTs. For a square-pulse protocol alternating H+μ1²C and H+μ2²C, with an initial primary state, it obtains exact stroboscopic expectation values of C(ℓ), H(ℓ), D(ℓ) and the fidelity. The single-cycle monodromy parameter ρ defined by Eq. (7) classifies the stroboscopic dynamics into elliptic (ρ²>0, oscillatory), hyperbolic (ρ²<0, exponential), and parabolic (ρ=0, polynomial) phases. The paper extends the classification to continuous cosine drives numerically, relates the general time-dependent SO(2,1) problem to the Ermakov–Pinney equation, and gives a holographic interpretation in Schrödinger geometries where the hyperbolic class is associated with an ergosurface and the parabolic with an extremal horizon. It also proposes trapped ultracold fermions near unitarity as an experimental platform and analyzes the resonant protocol of a recent experiment.

Significance. If correct, the central result is an exact, parameter-free classification of Floquet phases in any non-relativistic CFT with an SO(2,1) subalgebra, conditional on a primary initial state. The derivation is transparent: Eq. (17) follows from the algebra and the primary expectation values (3), with no fitting parameters. Strengths include the explicit analytic formulas (6)–(9), the numerical Trotter-convergence analysis for the cosine protocol in the SM, and the publicly available code. The paper also gives a falsifiable experimental diagnostic (growth versus boundedness of the post-drive oscillation amplitude A0 in Eq. (26)). The main recognized limitations—exact conformality and primary ground state, and the kinematic nature of the holographic picture—are stated in the text. Within the ideal SO(2,1) sector, I find the central claim sound.

minor comments (4)
  1. [End Matter, after Eq. (23)] The statement that the trapped unitary-Fermi-gas ground state is a primary state is asserted but not justified. A one-line standard argument would close the gap: L− lowers the L0 eigenvalue, and since H+μ²C is bounded below in the fixed-particle-number sector, the ground state must be annihilated by L−. This is the only physical input beyond the algebra, so it deserves an explicit sentence.
  2. [Holography, Eq. (22)] The extremal-horizon identification is derived for the generic parabolic representative with α−≠0. The parabolic conjugacy class also contains representatives with α−=0, γ=0 (e.g. a simple evolution generated by H only), for which the Killing vector K_X has no vanishing locus. The statement that the parabolic phase corresponds to an extremal Killing horizon should be qualified to generic points of the parabolic class.
  3. [SM bibliography] SM bibliography item [2] cites the main text itself as a separate 2026 work. This self-reference should be replaced by a proper citation or by a clear statement that the main text is the companion letter.
  4. [General presentation] Several typos should be corrected: “Fig. 2(c) indicate shows” (main text), “opscillatory phase” (End Matter), “ellptic” (SM), and the duplicated reference markers “[98] [79]” in the Ermakov–Pinney paragraph. These do not affect the physics.

Circularity Check

0 steps flagged

No significant circularity: the central phase classification is an exact SO(2,1) computation with no fitted parameters and no load-bearing self-citation.

full rationale

The derivation of the central result is self-contained. The paper defines H_i = H + μ_i^2 C within the SO(2,1) subalgebra (Eqs. 1, 4), computes the single-cycle Floquet operator in a Pauli representation, obtaining a_l, b_l, c_l, d_l and ρ (Eqs. 5–9), and then evaluates ⟨C(l)⟩ using only the primary-state identities L_-|Δ⟩=0, ⟨Δ|L_+=0, ⟨D⟩=0, ⟨H⟩=μ_1^2⟨C⟩=Δμ_1/2 (Eqs. 2–3, 16–17). The exponential/oscillatory/power-law classification is read off from the sign of ρ^2 in Eq. (17), and ρ is determined by the drive parameters through Eq. (7); no fitted parameter is introduced. The comparison with the experiment of ref. [100] uses the independently reported μ_0, β, and modulation period to compute the Floquet half-trace (|T2|>1), rather than tuning theory to match observed heating. The only substantive non-algebraic input is the assumption that the trapped Fermi-gas ground state is primary; the paper explicitly acknowledges that the analysis holds only near unitarity and for a finite number of drive cycles. Self-citations ([75], [76], and the SM's references to the main text) are contextual background, not load-bearing for the algebraic derivation. No quoted equation reduces to its own input, so no circular step can be exhibited; the appropriate score is 0.

Axiom & Free-Parameter Ledger

0 free parameters · 4 axioms · 0 invented entities

The paper introduces no new particles, forces, or degrees of freedom. The drive parameters μ1, μ2, T1, T are external controls, not fitted constants; the scaling dimension Δ0 is an input from the specific CFT. The ergosurface and extremal horizon are existing geometric notions applied to a known Schrödinger background.

axioms (4)
  • domain assumption The SO(2,1) algebra (1): [H,C]=-iD, [D,C]=-2iC, [D,H]=2iH holds for the driven system's generators.
    The whole calculation is built on the premise that the driven Hamiltonians H1, H2 are linear combinations of H, C, D satisfying these SU(1,1)/SO(2,1) relations. This is standard for non-relativistic CFTs at unitarity (Nishida–Son), but it is imported from prior literature, not derived here (Eqs. 1–5).
  • domain assumption There exists a primary (highest-weight) state |Δ0>_μ1 annihilated by L−, with ⟨D⟩=0 and ⟨H⟩=μ1²⟨C⟩=Δμ1/2 (Eq. 3).
    Used to evaluate all one-point functions and fidelity. For the trapped Fermi gas this is asserted ('the fermionic ground state ... is a primary state of the CFT', End Matter), but no derivation for the interacting N-particle state is provided.
  • domain assumption The periodic drive realizes exactly H1=H+μ1²C and H2=H+μ2²C with Hamiltonians bounded from below.
    Assumes the only effect of the periodic modulation is to change the harmonic trap frequency while preserving SO(2,1). Real atoms deviate near unitarity; the authors note the analysis holds only for a finite number of drive cycles.
  • domain assumption Holographic dictionary: the NRCFT is dual to the Schrödinger geometry (84) with sl(2,R) Killing vectors (85).
    The ergosurface/extremal-horizon classification uses this background metric from prior literature (Blau–Hartong–Rollier etc.). The paper states the analysis is kinematic and the backreacted metric is not computed.

pith-pipeline@v1.3.0-daily-deepseek · 28754 in / 16678 out tokens · 163762 ms · 2026-08-01T03:36:52.768965+00:00 · methodology

0 comments
read the original abstract

We develop a formalism for studying Floquet dynamics for systems with {\it non-relativistic} conformal invariance in $d$ spatial dimensions. Our analysis indicates the existence of two dynamical phases, hyperbolic and elliptic, separated by a parabolic transition surface. We demonstrate this by studying the expectation value of a conformal generator in the many body ground state during the drive, as well as the fidelity of this state. Stroboscopically, they behave exponentially in the hyperbolic phase, show oscillatory behavior in the elliptic phase, and exhibit power-law on the transition surface. Our analysis is completely universal and can be directly applied to several systems including trapped fermions near unitarity and resonant anyons. The former can provide experimental signatures of these dynamical phases. We also comment on a holographic perspective of such driven non-relativistic CFTs and demonstrate that the hyperbolic phase is associated with a timelike stationary-limit surface, such as an ergosphere, in the bulk, while the parabolic phase corresponds to an extremal Killing horizon.

Figures

Figures reproduced from arXiv: 2607.27668 by Arnab Kundu, Diptarka Das, Krishnendu Sengupta, Sumit R. Das.

Figure 1
Figure 1. Figure 1: FIG. 1. Plot of [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: (d) exhibits its linear decay in the hyperbolic phase. The inset of [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a) Schematic representation of an experimentally [PITH_FULL_IMAGE:figures/full_fig_p009_4.png] view at source ↗
Figure 1
Figure 1. Figure 1: FIG. 1. Plots of absolute value of Γ( [PITH_FULL_IMAGE:figures/full_fig_p015_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Plots of absolute value of [PITH_FULL_IMAGE:figures/full_fig_p016_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Plot of expectation value of [PITH_FULL_IMAGE:figures/full_fig_p017_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Cosine-drive phase diagram for [PITH_FULL_IMAGE:figures/full_fig_p019_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Protocol-matched NRCFT computation for the trap modulation used in Ref. [1]. The upper panel shows the imposed [PITH_FULL_IMAGE:figures/full_fig_p021_5.png] view at source ↗

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

120 extracted references · 3 canonical work pages

  1. [1]

    Dziarmaga, Dynamics of a quantum phase transition and relaxation to a steady state, Advances in Physics 59, 1063–1189 (2010)

    J. Dziarmaga, Dynamics of a quantum phase transition and relaxation to a steady state, Advances in Physics 59, 1063–1189 (2010)

    2010

  2. [2]

    Polkovnikov, K

    A. Polkovnikov, K. Sengupta, A. Silva, and M. Ven- galattore, Colloquium: Nonequilibrium dynamics of closed interacting quantum systems, Rev. Mod. Phys. 83, 863 (2011)

    2011

  3. [3]

    Bukov, L

    M. Bukov, L. D’Alessio, and A. Polkovnikov, Uni- versal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering, Advances in Physics64, 139 (2015), https://doi.org/10.1080/00018732.2015.1055918

    arXiv 2015

  4. [4]

    D’Alessio, Y

    L. D’Alessio, Y. Kafri, A. Polkovnikov, and M. Rigol, From quantum chaos and eigenstate thermalization to statistical mechanics and ther- modynamics, Advances in Physics65, 239 (2016), https://doi.org/10.1080/00018732.2016.1198134

    arXiv 2016

  5. [5]

    Oka and S

    T. Oka and S. Kitamura, Floquet engineering of quan- tum materials, Annual Review of Condensed Matter Physics10, 387–408 (2019)

    2019

  6. [6]

    Blanes, F

    S. Blanes, F. Casas, J. Oteo, and J. Ros, The magnus expansion and some of its applications, Physics Reports 470, 151–238 (2009)

    2009

  7. [7]

    Eckardt, Colloquium: Atomic quantum gases in pe- riodically driven optical lattices, Rev

    A. Eckardt, Colloquium: Atomic quantum gases in pe- riodically driven optical lattices, Rev. Mod. Phys.89, 6 011004 (2017)

    2017

  8. [8]

    A. Sen, D. Sen, and K. Sengupta, Analytic approaches to periodically driven closed quantum systems: methods and applications, Journal of Physics: Condensed Matter 33, 443003 (2021)

    2021

  9. [9]

    Bloch, J

    I. Bloch, J. Dalibard, and W. Zwerger, Many-body physics with ultracold gases, Rev. Mod. Phys.80, 885 (2008)

    2008

  10. [10]

    Tarruell and L

    L. Tarruell and L. Sanchez-Palencia, Quantum simu- lation of the hubbard model with ultracold fermions in optical lattices, Comptes Rendus. Physique19, 365–393 (2018)

    2018

  11. [11]

    W. W. Ho, T. Mori, D. A. Abanin, and E. G. Dalla Torre, Quantum and classical floquet prethermal- ization, Annals of Physics454, 169297 (2023)

    2023

  12. [12]

    T. Mori, T. N. Ikeda, E. Kaminishi, and M. Ueda, Ther- malization and prethermalization in isolated quantum systems: a theoretical overview, Journal of Physics B 51, 112001 (2018)

    2018

  13. [13]

    Banerjee and K

    T. Banerjee and K. Sengupta, Emergent symmetries in prethermal phases of periodically driven quantum sys- tems, Journal of Physics: Condensed Matter37, 133002 (2025)

    2025

  14. [14]

    D’Alessio and M

    L. D’Alessio and M. Rigol, Long-time behavior of iso- lated periodically driven interacting lattice systems, Phys. Rev. X4, 041048 (2014)

    2014

  15. [15]

    Y. Baum, E. van Nieuwenburg, and G. Refael, From dynamical localization to bunching in interacting flo- quet systems, SciPost Physics5, 10.21468/scipost- phys.5.2.017 (2018)

    doi:10.21468/scipost- 2018

  16. [16]

    D. J. Luitz, Y. Bar Lev, and A. Lazarides, Absence of dynamical localization in interacting driven systems, SciPost Physics3, 10.21468/scipostphys.3.4.029 (2017)

    doi:10.21468/scipostphys.3.4.029 2017

  17. [17]

    Agarwala and D

    A. Agarwala and D. Sen, Effects of interactions on pe- riodically driven dynamically localized systems, Phys. Rev. B95, 014305 (2017)

    2017

  18. [18]

    Aditya and D

    S. Aditya and D. Sen, Dynamical localization and slow thermalization in a class of disorder-free period- ically driven one-dimensional interacting systems, Sci- Post Phys. Core6, 083 (2023)

    2023

  19. [19]

    T. Nag, S. Roy, A. Dutta, and D. Sen, Dynamical lo- calization in a chain of hard core bosons under periodic driving, Phys. Rev. B89, 165425 (2014)

    2014

  20. [20]

    Tamang, T

    L. Tamang, T. Nag, and T. Biswas, Floquet engineering of low-energy dispersions and dynamical localization in a periodically kicked three-band system, Phys. Rev. B 104, 174308 (2021)

    2021

  21. [21]

    M. Fava, R. Fazio, and A. Russomanno, Many-body dy- namical localization in the kicked Bose-Hubbard chain, Phys. Rev. B101, 064302 (2020)

    2020

  22. [22]

    Das, Exotic freezing of response in a quantum many- body system, Phys

    A. Das, Exotic freezing of response in a quantum many- body system, Phys. Rev. B82, 172402 (2010)

    2010

  23. [23]

    S. S. Hegde, H. Katiyar, T. S. Mahesh, and A. Das, Freezing a quantum magnet by repeated quantum in- terference: An experimental realization, Phys. Rev. B 90, 174407 (2014)

    2014

  24. [24]

    Mondal, D

    S. Mondal, D. Pekker, and K. Sengupta, Dynamics- induced freezing of strongly correlated ultracold bosons, EPL (Europhysics Letters)100, 60007 (2012)

    2012

  25. [25]

    H. Guo, R. Mukherjee, and D. Chowdhury, Dynami- cal freezing in exactly solvable models of driven chaotic quantum dots, Phys. Rev. Lett.134, 226501 (2025)

    2025

  26. [26]

    Divakaran and K

    U. Divakaran and K. Sengupta, Dynamic freezing and defect suppression in the tilted one-dimensional Bose- Hubbard model, Phys. Rev. B90, 184303 (2014)

    2014

  27. [27]

    Haldar, D

    A. Haldar, D. Sen, R. Moessner, and A. Das, Dynamical freezing and scar points in strongly driven Floquet mat- ter: Resonance vs emergent conservation laws, Phys. Rev. X11, 021008 (2021)

    2021

  28. [28]

    Gangopadhay and S

    N. Gangopadhay and S. Choudhury, Counterdiabatic route to entanglement steering and dynamical freezing in the Floquet Lipkin-Meshkov-Glick model, Phys. Rev. Lett.135, 020407 (2025)

    2025

  29. [29]

    N. Y. Yao and C. Nayak, Time crystals in periodically driven systems, Physics Today71, 40–47 (2018)

    2018

  30. [30]

    Khemani, R

    V. Khemani, R. Moessner, and S. L. Sondhi, A brief history of time crystals (2019), arXiv:1910.10745 [cond- mat.str-el]

    Pith/arXiv arXiv 2019

  31. [31]

    D. V. Else, C. Monroe, C. Nayak, and N. Y. Yao, Dis- crete time crystals, Annual Review of Condensed Matter Physics11, 467–499 (2020)

    2020

  32. [32]

    M. P. Zaletel, M. Lukin, C. Monroe, C. Nayak, F. Wilczek, and N. Y. Yao, Colloquium: Quantum and classical discrete time crystals, Rev. Mod. Phys.95, 031001 (2023)

    2023

  33. [33]

    C. W. von Keyserlingk, V. Khemani, and S. L. Sondhi, Absolute stability and spatiotemporal long-range order in Floquet systems, Phys. Rev. B94, 085112 (2016)

    2016

  34. [34]

    Moessner and S

    R. Moessner and S. L. Sondhi, Equilibration and or- der in quantum Floquet matter, Nature Physics13, 424 (2017)

    2017

  35. [35]

    D. V. Else, B. Bauer, and C. Nayak, Floquet time crys- tals, Phys. Rev. Lett.117, 090402 (2016)

    2016

  36. [36]

    D. V. Else, B. Bauer, and C. Nayak, Prethermal phases of matter protected by time-translation symme- try, Phys. Rev. X7, 011026 (2017)

    2017

  37. [37]

    N. Y. Yao, A. C. Potter, I.-D. Potirniche, and A. Vish- wanath, Discrete time crystals: Rigidity, criticality, and realizations, Phys. Rev. Lett.118, 030401 (2017)

    2017

  38. [38]

    Ghosh, I

    S. Ghosh, I. Paul, and K. Sengupta, Prethermal frag- mentation in a periodically driven fermionic chain, Phys. Rev. Lett.130, 120401 (2023)

    2023

  39. [39]

    Ghosh, I

    S. Ghosh, I. Paul, and K. Sengupta, Signatures of frag- mentation for periodically driven fermions, Phys. Rev. B109, 214304 (2024)

    2024

  40. [40]

    C. M. Langlett and S. Xu, Hilbert space fragmentation and exact scars of generalized Fredkin spin chains, Phys. Rev. B103, L220304 (2021)

    2021

  41. [41]

    Zhang, Y

    L. Zhang, Y. Ke, L. Lin, and C. Lee, Floquet engineering of Hilbert space fragmentation in Stark lattices, Phys. Rev. B109, 184313 (2024)

    2024

  42. [42]

    Ghosh, I

    S. Ghosh, I. Paul, K. Sengupta, and L. Vidmar, Destruc- tive interference induced constraints in Floquet systems (2025), arXiv:2508.18368 [cond-mat.str-el]

    Pith/arXiv arXiv 2025

  43. [43]

    B. Paul, T. Mishra, and K. Sengupta, Floquet realiza- tion of prethermal meissner phase in a two-leg flux lad- der, Phys. Rev. A113, 053321 (2026)

    2026

  44. [44]

    Pai and M

    S. Pai and M. Pretko, Dynamical scar states in driven fracton systems, Phys. Rev. Lett.123, 136401 (2019)

    2019

  45. [45]

    Mukherjee, S

    B. Mukherjee, S. Nandy, A. Sen, D. Sen, and K. Sen- gupta, Collapse and revival of quantum many-body scars via Floquet engineering, Phys. Rev. B101, 245107 (2020)

    2020

  46. [46]

    Mizuta, K

    K. Mizuta, K. Takasan, and N. Kawakami, Exact Flo- quet quantum many-body scars under Rydberg block- ade, Phys. Rev. Res.2, 033284 (2020)

    2020

  47. [47]

    Sugiura, T

    S. Sugiura, T. Kuwahara, and K. Saito, Many-body scar state intrinsic to periodically driven system, Phys. Rev. 7 Res.3, L012010 (2021)

    2021

  48. [48]

    Mukherjee, A

    B. Mukherjee, A. Sen, D. Sen, and K. Sengupta, Dy- namics of the vacuum state in a periodically driven Ry- dberg chain, Phys. Rev. B102, 075123 (2020)

    2020

  49. [49]

    Maskara, A

    N. Maskara, A. A. Michailidis, W. W. Ho, D. Bluvstein, S. Choi, M. D. Lukin, and M. Serbyn, Discrete time- crystalline order enabled by quantum many-body scars: Entanglement steering via periodic driving, Phys. Rev. Lett.127, 090602 (2021)

    2021

  50. [50]

    Hudomal, J.-Y

    A. Hudomal, J.-Y. Desaules, B. Mukherjee, G.-X. Su, J. C. Halimeh, and Z. Papi´ c, Driving quantum many- body scars in the PXP model, Phys. Rev. B106, 104302 (2022)

    2022

  51. [51]

    Huang, T.-H

    B. Huang, T.-H. Leung, D. M. Stamper-Kurn, and W. V. Liu, Discrete time crystals enforced by Floquet- Bloch scars, Phys. Rev. Lett.129, 133001 (2022)

    2022

  52. [52]

    Wintersperger, C

    K. Wintersperger, C. Braun, F. N. ˜Aœnal, A. Eckardt, M. D. Liberto, N. Goldman, I. Bloch, and M. Aidels- burger, Realization of an anomalous floquet topological system with ultracold atoms, Nature Physics16, 1058 (2020)

    2020

  53. [53]

    Wen and J.-Q

    X. Wen and J.-Q. Wu, Quantum dynamics in sine- square deformed conformal field theory: Quench from uniform to nonuniform conformal field theory, Phys. Rev. B97, 184309 (2018)

    2018

  54. [54]

    X. Wen, R. Fan, A. Vishwanath, and Y. Gu, Periodi- cally, quasiperiodically, and randomly driven conformal field theories, Phys. Rev. Res.3, 023044 (2021)

    2021

  55. [55]

    Wen and J.-Q

    X. Wen and J.-Q. Wu, Floquet conformal field theory (2018), arXiv:1805.00031 [cond-mat.str-el]

    Pith/arXiv arXiv 2018

  56. [56]

    Lapierre, K

    B. Lapierre, K. Choo, C. Tauber, A. Tiwari, T. Neupert, and R. Chitra, Emergent black hole dynamics in critical floquet systems, Phys. Rev. Res.2, 023085 (2020)

    2020

  57. [57]

    R. Fan, Y. Gu, A. Vishwanath, and X. Wen, Floquet conformal field theories with generally deformed hamil- tonians, SciPost Phys.10, 049 (2021)

    2021

  58. [58]

    D. Das, R. Ghosh, and K. Sengupta, Conformal floquet dynamics with a continuous drive protocol, Journal of High Energy Physics2021, 172 (2021)

    2021

  59. [59]

    Lapierre, K

    B. Lapierre, K. Choo, A. Tiwari, C. Tauber, T. Neupert, and R. Chitra, Fine structure of heating in a quasiperi- odically driven critical quantum system, Phys. Rev. Res. 2, 033461 (2020)

    2020

  60. [60]

    Han and X

    B. Han and X. Wen, Classification ofSL 2 deformed Flo- quet conformal field theories, Phys. Rev. B102, 205125 (2020), arXiv:2008.01123 [cond-mat.stat-mech]

    Pith/arXiv arXiv 2020

  61. [61]

    Lapierre, T

    B. Lapierre, T. Numasawa, T. Neupert, and S. Ryu, Floquet engineered inhomogeneous quantum chaos in critical systems, Phys. Rev. B112, 104317 (2025), arXiv:2405.01642 [cond-mat.str-el]

    arXiv 2025

  62. [62]

    Banerjee, S

    T. Banerjee, S. Das, and K. Sengupta, Entanglement asymmetry in periodically driven quantum systems, Sci- Post Phys.19, 051 (2025), arXiv:2412.03654 [quant-ph]

    Pith/arXiv arXiv 2025

  63. [63]

    J. Fang, Q. Zhou, and X. Wen, Phase transitions in quasiperiodically driven quantum critical systems: Analytical results, Phys. Rev. B111, 094304 (2025), arXiv:2501.04795 [cond-mat.stat-mech]

    Pith/arXiv arXiv 2025

  64. [64]

    Lapierre, P

    B. Lapierre, P. Pelliconi, S. Ryu, and J. Sonner, Driven nonunitary dynamics of quantum critical systems, Phys. Rev. B112, 104322 (2025), arXiv:2505.01508 [cond- mat.str-el]

    arXiv 2025

  65. [65]

    Lapierre, L.-H

    B. Lapierre, L.-H. Mo, and S. Ryu, Entanglement tran- sitions in structured and random nonunitary Gaussian circuits, (2025), arXiv:2507.03768 [quant-ph]

    Pith/arXiv arXiv 2025

  66. [66]

    P. Dey, S. Dutta, and B. Ezhuthachan, Imprints of dy- namical phases in semiclassical entanglement entropy in 2D CFT, (2026), arXiv:2606.17625 [hep-th]

    Pith/arXiv arXiv 2026

  67. [67]

    Caputa and I

    P. Caputa and I. MacCormack, Geometry and Complex- ity of Path Integrals in Inhomogeneous CFTs, JHEP01, 027, [Erratum: JHEP 09, 109 (2022)], arXiv:2004.04698 [hep-th]

    Pith/arXiv arXiv 2022

  68. [68]

    de Boer, V

    J. de Boer, V. Godet, J. Kastikainen, and E. Keski- Vakkuri, Quantum information geometry of driven CFTs, JHEP09, 087, arXiv:2306.00099 [hep-th]

    Pith/arXiv arXiv

  69. [69]

    Erdmenger, J

    J. Erdmenger, J. Kastikainen, and T. Schuhmann, Driven inhomogeneous CFT as a theory in curved space- time, JHEP02, 255, arXiv:2508.18350 [hep-th]

    arXiv

  70. [70]

    MacCormack, A

    I. MacCormack, A. Liu, M. Nozaki, and S. Ryu, Holo- graphic Duals of Inhomogeneous Systems: The Rainbow Chain and the Sine-Square Deformation Model, J. Phys. A52, 505401 (2019), arXiv:1812.10023 [cond-mat.str- el]

    Pith/arXiv arXiv 2019

  71. [71]

    S. Das, B. Ezhuthachan, A. Kundu, S. Porey, B. Roy, and K. Sengupta, Brane detectors of a dynamical phase transition in a driven CFT, SciPost Phys.15, 202 (2023), arXiv:2212.04201 [hep-th]

    Pith/arXiv arXiv 2023

  72. [72]

    Kudler-Flam, M

    J. Kudler-Flam, M. Nozaki, T. Numasawa, S. Ryu, and M. T. Tan, Bridging two quantum quench problems — local joining quantum quench and M¨ obius quench — and their holographic dual descriptions, JHEP08, 213, arXiv:2309.04665 [hep-th]

    Pith/arXiv arXiv

  73. [73]

    Jiang and M

    H. Jiang and M. Mezei, New horizons for inhomo- geneous quenches and Floquet CFT, JHEP04, 025, arXiv:2404.07884 [hep-th]

    Pith/arXiv arXiv

  74. [74]

    Das and A

    J. Das and A. Kundu, Flowery horizons & bulk ob- servers: sl (q)(2,R), drive in 2d holographic CFT, JHEP 05, 035, arXiv:2412.18536 [hep-th]

    Pith/arXiv arXiv

  75. [75]

    D. Das, S. R. Das, A. Kundu, and K. Sengupta, Exactly solvable floquet dynamics for conformal field theories in dimensions greater than two, Journal of High Energy Physics2024, 95 (2024)

    2024

  76. [76]

    D. Das, S. R. Das, A. Kundu, and K. Sengupta, Dynam- ical phases of higher dimensional floquet cfts, SciPost Phys.20, 045 (2026)

    2026

  77. [77]

    L.-H. Mo, B. Lapierre, and Q. Miao, Observing confor- mal floquet dynamics on a digital quantum processor (2026), arXiv:2605.27530 [quant-ph]

    Pith/arXiv arXiv 2026

  78. [78]

    Mehen, I

    T. Mehen, I. W. Stewart, and M. B. Wise, Wigner sym- metry in the limit of large scattering lengths, Phys. Rev. Lett.83, 931 (1999)

    1999

  79. [79]

    Werner and Y

    F. Werner and Y. Castin, Unitary gas in an isotropic harmonic trap: Symmetry properties and applications, Phys. Rev. A74, 053604 (2006)

    2006

  80. [80]

    Nishida and D

    Y. Nishida and D. T. Son, Fermi gas near unitarity around four and two spatial dimensions, Phys. Rev. A 75, 063617 (2007)

    2007

Showing first 80 references.