pith. sign in

arxiv: 2604.24850 · v2 · submitted 2026-04-27 · 🪐 quant-ph

Emergent prethermal Bethe integrability in a periodically driven Rydberg chain

Saptadip Roy , Arnab Sen , Diptiman Sen , K. Sengupta This is my paper

Pith reviewed 2026-05-14 22:03 UTC · model grok-4.3

classification 🪐 quant-ph
keywords Rydberg chainperiodic drivingFloquet Hamiltonianprethermal integrabilityXXZ chainBethe integrabilityemergent integrabilityquantum spin chains
0
0 comments X

The pith

Periodic driving of a Rydberg atom chain produces an effective XXZ spin chain at special frequencies.

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

The paper examines a chain of Rydberg atoms under periodic driving and identifies drive protocols that yield emergent prethermal Bethe integrability at particular frequencies. It derives a perturbative Floquet Hamiltonian valid in the large-amplitude limit and shows that the leading term maps directly onto the Hamiltonian of the integrable spin-1/2 XXZ chain. Exact diagonalization on finite chains confirms the expected signatures of integrability, including Poisson level statistics and logarithmic growth of half-chain entanglement entropy, which persist over an extended prethermal window. A reader would care because the construction supplies a concrete route to long-lived integrable dynamics inside a driven many-body system that would otherwise heat to infinite temperature.

Core claim

We identify a class of drive protocols for which the periodically driven Rydberg chain exhibits emergent prethermal Bethe integrability at special drive frequencies. We provide a perturbative analytic expression of its Floquet Hamiltonian in the large drive amplitude regime. We demonstrate integrability of the leading term of this Floquet Hamiltonian at special drive frequencies, which we identify, by mapping it to the Hamiltonian of the paradigmatic spin-1/2 XXZ chain. Exact diagonalization studies on finite chains support the analytical results through level statistics, half-chain entanglement entropy, and longitudinal magnetization.

What carries the argument

Mapping of the leading term in the perturbative Floquet Hamiltonian to the spin-1/2 XXZ chain Hamiltonian at the identified special drive frequencies.

If this is right

  • The driven chain displays Poisson level statistics at the special frequencies.
  • Half-chain entanglement entropy grows logarithmically with time.
  • Longitudinal magnetization evolves in a manner consistent with integrability.
  • These integrable signatures persist up to a large prethermal timescale.
  • The behavior holds for the identified class of drive protocols.

Where Pith is reading between the lines

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

  • The same perturbative mapping may be applied to other periodically driven spin models to generate prethermal integrability.
  • Tuning the drive frequency and amplitude could allow experimental control over the effective XXZ anisotropy in Rydberg arrays.
  • The prethermal window might be extended further by optimizing the drive protocol beyond the leading-order analysis.
  • Similar emergent integrability could appear in related Floquet-engineered systems such as trapped-ion chains.

Load-bearing premise

Higher-order terms in the perturbative Floquet expansion remain negligible on the prethermal timescale and do not destroy the integrability established by the leading-term mapping to XXZ.

What would settle it

Observation of Wigner-Dyson level statistics or rapid thermalization of magnetization and entanglement at the special drive frequencies inside the expected prethermal window would falsify the claim.

Figures

Figures reproduced from arXiv: 2604.24850 by Arnab Sen, Diptiman Sen, K. Sengupta, Saptadip Roy.

Figure 2
Figure 2. Figure 2: FIG. 2. Schematic representation of the mapping between view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a) Plot of view at source ↗
Figure 3
Figure 3. Figure 3: (c) shows a wide spread of SL/2 for mid-spectrum states. This is in sharp contrast to the ETH predicted behavior where SL/2 for mid-spectrum states lie within a narrow band [4, 74]. This behavior is seen in view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Plot of Frobenius norm view at source ↗
Figure 1
Figure 1. Figure 1: FIG. 1. Plot of half-chain entanglement view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) Plot of view at source ↗
Figure 3
Figure 3. Figure 3: (c) showing similar features. The larger dip time for K in view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a) Plot of view at source ↗
read the original abstract

We study a chain of periodically driven Rydberg atoms and identify a class of drive protocols for which the system exhibits emergent prethermal Bethe integrability at special drive frequencies. We provide a perturbative analytic expression of its Floquet Hamiltonian in the large drive amplitude regime. We demonstrate integrability of the leading term of this Floquet Hamiltonian at special drive frequencies, which we identify, by mapping it to the Hamiltonian of the paradigmatic spin-$1/2$ ${\rm XXZ}$ chain. We support our analytical results by exact diagonalization studies on finite chains. Our numerical results on level statistics, half-chain entanglement entropy, and longitudinal magnetization of the driven chain brings out its emergent integrable nature at the special drive frequencies which persists up to a large prethermal timescale.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

3 major / 2 minor

Summary. The manuscript studies a chain of periodically driven Rydberg atoms and identifies a class of drive protocols yielding emergent prethermal Bethe integrability at special frequencies. It derives a perturbative Floquet Hamiltonian in the large-amplitude regime and maps its leading term to the integrable spin-1/2 XXZ chain; exact-diagonalization results on finite chains are presented for level statistics, half-chain entanglement entropy, and longitudinal magnetization to support the integrable character persisting on a prethermal timescale.

Significance. If the mapping is exact and higher-order terms remain negligible, the work supplies an analytic route to prethermal integrability in driven Rydberg systems via a known Bethe-ansatz model. The explicit reduction to the XXZ Hamiltonian and the accompanying numerical diagnostics constitute a clear, falsifiable claim with potential relevance to Floquet engineering and quantum simulation.

major comments (3)
  1. [Floquet Hamiltonian derivation (leading-term mapping)] The central mapping of the leading Floquet term to the nearest-neighbor XXZ Hamiltonian implicitly requires that all non-nearest-neighbor matrix elements arising from the long-range Rydberg potential (∼1/r^6) either vanish or can be absorbed without spoiling integrability once the special-frequency condition is imposed. No explicit derivation or numerical verification is given showing these tails are identically zero (or irrelevant) at the identified frequencies; a residual long-range piece would render the effective Hamiltonian non-integrable even at leading order.
  2. [Perturbative expansion and prethermal timescale] The claim that higher-order terms in the perturbative Floquet expansion remain negligible on the prethermal timescale and preserve the integrability established by the leading-term mapping lacks quantitative bounds. The manuscript states the assumption but does not supply an estimate of the validity range in drive amplitude or a scaling analysis that would confirm the prethermal window survives in the thermodynamic limit.
  3. [Numerical results (ED studies)] The exact-diagonalization evidence (level statistics, entanglement, magnetization) is shown for finite chains, yet no finite-size scaling collapse or extrapolation is presented to demonstrate that the Poissonian statistics and volume-law entanglement persist as system size increases, which is required to substantiate the emergent integrability claim beyond small-system artifacts.
minor comments (2)
  1. [Identification of special frequencies] The explicit algebraic condition defining the special drive frequencies should be stated once in the main text (rather than only in supplementary material) to facilitate reproducibility.
  2. [Figures] Figure captions for the level-statistics and entanglement plots should include direct comparison curves for both the integrable (Poisson) and chaotic (Wigner-Dyson) limits to make the diagnostic clearer.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address each major comment point by point below, providing the strongest honest defense of our results while incorporating revisions where the manuscript can be strengthened.

read point-by-point responses

  1. Referee: [Floquet Hamiltonian derivation (leading-term mapping)] The central mapping of the leading Floquet term to the nearest-neighbor XXZ Hamiltonian implicitly requires that all non-nearest-neighbor matrix elements arising from the long-range Rydberg potential (∼1/r^6) either vanish or can be absorbed without spoiling integrability once the special-frequency condition is imposed. No explicit derivation or numerical verification is given showing these tails are identically zero (or irrelevant) at the identified frequencies; a residual long-range piece would render the effective Hamiltonian non-integrable even at leading order.

    Authors: We thank the referee for highlighting this point. The special-frequency condition is chosen precisely so that the time-dependent drive terms resonate only with nearest-neighbor processes in the perturbative expansion of the Floquet Hamiltonian; non-nearest-neighbor matrix elements from the 1/r^6 tail acquire phase factors that cause them to average to zero at leading order. In the revised manuscript we will add an explicit step-by-step derivation of the leading Floquet term that isolates this cancellation, together with a short numerical check on small chains confirming that the residual long-range couplings fall below the truncation threshold used in the expansion. revision: yes

  2. Referee: [Perturbative expansion and prethermal timescale] The claim that higher-order terms in the perturbative Floquet expansion remain negligible on the prethermal timescale and preserve the integrability established by the leading-term mapping lacks quantitative bounds. The manuscript states the assumption but does not supply an estimate of the validity range in drive amplitude or a scaling analysis that would confirm the prethermal window survives in the thermodynamic limit.

    Authors: We agree that explicit bounds strengthen the claim. In the revision we will include an estimate of the prethermal lifetime obtained from the norm of the first omitted term in the Magnus/Floquet expansion, together with a scaling argument showing that this lifetime grows exponentially with drive amplitude while the leading XXZ integrability remains intact. This analysis will be performed both for finite chains and in the thermodynamic limit via a perturbative argument that does not rely on exact diagonalization. revision: yes

  3. Referee: [Numerical results (ED studies)] The exact-diagonalization evidence (level statistics, entanglement, magnetization) is shown for finite chains, yet no finite-size scaling collapse or extrapolation is presented to demonstrate that the Poissonian statistics and volume-law entanglement persist as system size increases, which is required to substantiate the emergent integrability claim beyond small-system artifacts.

    Authors: We acknowledge that finite-size scaling provides stronger evidence. We will augment the numerical section with data for larger system sizes (up to the current computational limit) and include plots of the average level-spacing ratio and half-chain entanglement entropy versus system size, demonstrating convergence toward Poissonian statistics and volume-law scaling. While a full thermodynamic-limit proof is beyond exact diagonalization, the observed trend combined with the analytic mapping supplies the requested support. revision: yes

Circularity Check

0 steps flagged

No significant circularity: integrability follows from external XXZ mapping

full rationale

The central claim maps the leading perturbative Floquet term (at identified drive frequencies) to the paradigmatic spin-1/2 XXZ chain whose integrability is an independent, textbook result via Bethe ansatz. No equation in the provided text defines the effective Hamiltonian in terms of its own integrability, fits a parameter to the target observable, or invokes a self-citation as the sole justification for the mapping. The long-range Rydberg tails are handled by the perturbative construction itself; any residual non-integrability would be a correctness issue, not a circular reduction. The derivation therefore remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on standard Floquet perturbation theory in the large-amplitude regime and on the known integrability of the XXZ chain; no new free parameters or postulated entities are introduced.

axioms (2)
  • domain assumption Validity of the perturbative expansion for the Floquet Hamiltonian in the large drive amplitude regime
    Invoked to obtain the leading term that is then mapped to XXZ.
  • standard math The spin-1/2 XXZ chain is integrable via the Bethe ansatz
    Standard result used to establish integrability of the effective Hamiltonian.

pith-pipeline@v0.9.0 · 5433 in / 1306 out tokens · 54856 ms · 2026-05-14T22:03:25.142734+00:00 · methodology

Review history (2 revisions) →

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

84 extracted references · 84 canonical work pages

  1. [1]

    Polkovnikov, K

    A. Polkovnikov, K. Sengupta, A. Silva, and M. Vengalat- tore, Colloquium: Nonequilibrium dynamics of closed in- teracting quantum systems, Rev. Mod. Phys.83, 863 (2011)

    work page 2011

  2. [2]

    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

    work page doi:10.1080/00018732.2015.1055918 2015

  3. [3]

    D’Alessio and A

    L. D’Alessio and A. Polkovnikov, Many-body energy lo- calization transition in periodically driven systems, An- nals of Physics333, 19 (2013)

    work page 2013

  4. [4]

    Statistical Physics of Inference: Thresholds and Algorithms

    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

    work page doi:10.1080/00018732.2016.1198134 2016

  5. [5]

    Shevchenko, S

    S. Shevchenko, S. Ashhab, and F. Nori, Lan- dau–Zener–St¨ uckelberg interferometry, Physics Reports 492, 1 (2010)

    work page 2010

  6. [6]

    Oka and S

    T. Oka and S. Kitamura, Floquet engineering of quantum materials, Annual Review of Condensed Matter Physics 10, 387–408 (2019)

    work page 2019

  7. [7]

    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)

    work page 2009

  8. [8]

    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, 011004 (2017)

    work page 2017

  9. [9]

    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)

    work page 2021

  10. [10]

    Bloch, J

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

    work page 2008

  11. [11]

    Tarruell and L

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

    work page 2018

  12. [12]

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

    work page 2023

  13. [13]

    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)

    work page 2018

  14. [14]

    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)

    work page 2025

  15. [15]

    T. Mori, T. Kuwahara, and K. Saito, Rigorous bound on energy absorption and generic relaxation in periodically driven quantum systems, Phys. Rev. Lett.116, 120401 (2016)

    work page 2016

  16. [16]

    Abanin, W

    D. Abanin, W. De Roeck, W. W. Ho, and F. Huveneers, A rigorous theory of many-body prethermalization for periodically driven and closed quantum systems, Com- munications in Mathematical Physics354, 809 (2017)

    work page 2017

  17. [17]

    D. A. Abanin, W. De Roeck, W. W. Ho, and F. Hu- veneers, Effective Hamiltonians, prethermalization, and slow energy absorption in periodically driven many-body systems, Phys. Rev. B95, 014112 (2017)

    work page 2017

  18. [18]

    O’Dea, F

    N. O’Dea, F. Burnell, A. Chandran, and V. Khemani, Prethermal stability of eigenstates under high frequency floquet driving, Phys. Rev. Lett.132, 100401 (2024)

    work page 2024

  19. [19]

    D. M. Long, P. J. D. Crowley, V. Khemani, and A. Chan- dran, Phenomenology of the prethermal many-body lo- calized regime, Phys. Rev. Lett.131, 106301 (2023)

    work page 2023

  20. [20]

    Mukherjee, H

    R. Mukherjee, H. Guo, and D. Chowdhury, Floquet ther- malization via instantons near dynamical freezing, Phys. Rev. X16, 011041 (2026)

    work page 2026

  21. [21]

    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)

    work page 2010

  22. [22]

    S. S. Hegde, H. Katiyar, T. S. Mahesh, and A. Das, Freez- ing a quantum magnet by repeated quantum interference: An experimental realization, Phys. Rev. B90, 174407 (2014)

    work page 2014

  23. [23]

    Mondal, D

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

    work page 2012

  24. [24]

    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)

    work page 2025

  25. [25]

    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)

    work page 2014

  26. [26]

    Haldar, D

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

    work page 2021

  27. [27]

    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)

    work page 2025

  28. [28]

    Y. Baum, E. van Nieuwenburg, and G. Refael, From dy- namical localization to bunching in interacting floquet systems, SciPost Physics5, 10.21468/scipostphys.5.2.017 (2018)

    work page doi:10.21468/scipostphys.5.2.017 2018

  29. [29]

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

    work page doi:10.21468/scipostphys.3.4.029 2017

  30. [30]

    Agarwala and D

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

    work page 2017

  31. [31]

    Aditya and D

    S. Aditya and D. Sen, Dynamical localization and slow thermalization in a class of disorder-free periodi- cally driven one-dimensional interacting systems, SciPost Phys. Core6, 083 (2023). 6

    work page 2023

  32. [32]

    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)

    work page 2014

  33. [33]

    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)

    work page 2021

  34. [34]

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

    work page 2020

  35. [35]

    Kitagawa, E

    T. Kitagawa, E. Berg, M. Rudner, and E. Demler, Topo- logical characterization of periodically driven quantum systems, Phys. Rev. B82, 235114 (2010)

    work page 2010

  36. [36]

    N. H. Lindner, G. Refael, and V. Galitski, Floquet topo- logical insulator in semiconductor quantum wells, Nature Physics7, 490 (2011)

    work page 2011

  37. [37]

    Kitagawa, T

    T. Kitagawa, T. Oka, A. Brataas, L. Fu, and E. Dem- ler, Transport properties of nonequilibrium systems un- der the application of light: Photoinduced quantum hall insulators without landau levels, Phys. Rev. B84, 235108 (2011)

    work page 2011

  38. [38]

    Thakurathi, A

    M. Thakurathi, A. A. Patel, D. Sen, and A. Dutta, Flo- quet generation of Majorana end modes and topological invariants, Phys. Rev. B88, 155133 (2013)

    work page 2013

  39. [39]

    Kundu, H

    A. Kundu, H. A. Fertig, and B. Seradjeh, Effective theory of Floquet topological transitions, Phys. Rev. Lett.113, 236803 (2014)

    work page 2014

  40. [40]

    Nathan and M

    F. Nathan and M. S. Rudner, Topological singularities and the general classification of Floquet–Bloch systems, New Journal of Physics17, 125014 (2015)

    work page 2015

  41. [41]

    Mukherjee, A

    B. Mukherjee, A. Sen, D. Sen, and K. Sengupta, Signa- tures and conditions for phase band crossings in periodi- cally driven integrable systems, Phys. Rev. B94, 155122 (2016)

    work page 2016

  42. [42]

    Mukherjee, P

    B. Mukherjee, P. Mohan, D. Sen, and K. Sengupta, Low- frequency phase diagram of irradiated graphene and a periodically driven spin- 1 2 XY chain, Phys. Rev. B97, 205415 (2018)

    work page 2018

  43. [43]

    Mukherjee, Floquet topological transition by unpolar- ized light, Phys

    B. Mukherjee, Floquet topological transition by unpolar- ized light, Phys. Rev. B98, 235112 (2018)

    work page 2018

  44. [44]

    Pai and M

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

    work page 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)

    work page 2020

  46. [46]

    Mizuta, K

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

    work page 2020

  47. [47]

    Sugiura, T

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

    work page 2021

  48. [48]

    Mukherjee, A

    B. Mukherjee, A. Sen, D. Sen, and K. Sengupta, Dynam- ics of the vacuum state in a periodically driven Rydberg chain, Phys. Rev. B102, 075123 (2020)

    work page 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)

    work page 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)

    work page 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)

    work page 2022

  52. [52]

    Ghosh, I

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

    work page 2023

  53. [53]

    Ghosh, I

    S. Ghosh, I. Paul, and K. Sengupta, Signatures of frag- mentation for periodically driven fermions, Phys. Rev. B 109, 214304 (2024)

    work page 2024

  54. [54]

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

    work page 2021

  55. [55]

    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)

    work page 2024

  56. [56]

    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]

    work page arXiv 2025

  57. [57]

    B. Paul, T. Mishra, and K. Sengupta, Floquet realization of prethermal Meissner phase in a two-leg flux ladder (2025), arXiv:2504.11017 [cond-mat.quant-gas]

    work page arXiv 2025

  58. [58]

    Banerjee, S

    T. Banerjee, S. Choudhury, and K. Sengupta, Exact Flo- quet flat band and heating suppression via two-tone drive protocols, New Journal of Physics27, 084506 (2025)

    work page 2025

  59. [59]

    Ghosh, S

    K. Ghosh, S. Choudhury, D. Sen, and K. Sengupta, Heat- ing suppression via two-rate random and quasiperiodic drive protocols, Phys. Rev. B112, 155142 (2025)

    work page 2025

  60. [60]

    W. S. Bakr, J. I. Gillen, A. Peng, S. F¨ olling, and M. Greiner, A quantum gas microscope for detecting sin- gle atoms in a Hubbard-regime optical lattice, Nature 462, 74 (2009)

    work page 2009

  61. [61]

    W. S. Bakr, A. Peng, M. E. Tai, R. Ma, J. Simon, J. I. Gillen, S. F¨ olling, L. Pollet, and M. Greiner, Probing the superfluid–to–Mott insulator transition at the single- atom level, Science329, 547 (2010)

    work page 2010

  62. [62]

    Bernien, S

    H. Bernien, S. Schwartz, A. Keesling, H. Levine, A. Om- ran, H. Pichler, S. Choi, A. S. Zibrov, M. Endres, M. Greiner, V. Vuleti´ c, and M. D. Lukin, Probing many- body dynamics on a 51-atom quantum simulator, Nature 551, 579 (2017)

    work page 2017

  63. [63]

    Levine, A

    H. Levine, A. Keesling, A. Omran, H. Bernien, S. Schwartz, A. S. Zibrov, M. Endres, M. Greiner, V. Vuleti´ c, and M. D. Lukin, High-fidelity control and entanglement of Rydberg-atom qubits, Phys. Rev. Lett. 121, 123603 (2018)

    work page 2018

  64. [64]

    Bluvstein, A

    D. Bluvstein, A. Omran, H. Levine, A. Keesling, G. Se- meghini, S. Ebadi, T. T. Wang, A. A. Michailidis, N. Maskara, W. W. Ho, S. Choi, M. Serbyn, M. Greiner, V. Vuleti´ c, and M. D. Lukin, Controlling quantum many- body dynamics in driven Rydberg atom arrays, Science 371, 1355 (2021)

    work page 2021

  65. [65]

    Manovitz, S

    T. Manovitz, S. H. Li, S. Ebadi, R. Samajdar, A. A. Geim, S. J. Evered, D. Bluvstein, H. Zhou, N. U. Koylu- oglu, J. Feldmeier, P. E. Dolgirev, N. Maskara, M. Kali- nowski, S. Sachdev, D. A. Huse, M. Greiner, V. Vuleti´ c, and M. D. Lukin, Quantum coarsening and collective dy- namics on a programmable simulator, Nature638, 86 (2025)

    work page 2025

  66. [66]

    Liang, Z

    X. Liang, Z. Yue, Y.-X. Chao, Z.-X. Hua, Y. Lin, M. K. Tey, and L. You, Observation of anomalous information scrambling in a Rydberg atom array, Phys. Rev. Lett. 135, 050201 (2025)

    work page 2025

  67. [67]

    D’Alessio and M

    L. D’Alessio and M. Rigol, Long-time behavior of isolated periodically driven interacting lattice systems, Phys. 7 Rev. X4, 041048 (2014)

    work page 2014

  68. [68]

    See Supplemental Material for details

    work page

  69. [70]

    Sierant, E

    P. Sierant, E. G. Lazo, M. Dalmonte, A. Scardicchio, and J. Zakrzewski, Constraint-induced delocalization, Phys. Rev. Lett.127, 126603 (2021)

    work page 2021

  70. [71]

    Oganesyan and D

    V. Oganesyan and D. A. Huse, Localization of interacting fermions at high temperature, Phys. Rev. B75, 155111 (2007)

    work page 2007

  71. [72]

    Y. Y. Atas, E. Bogomolny, O. Giraud, and G. Roux, Distribution of the ratio of consecutive level spacings in random matrix ensembles, Phys. Rev. Lett.110, 084101 (2013)

    work page 2013

  72. [73]

    C. J. Turner, A. A. Michailidis, D. A. Abanin, M. Serbyn, and Z. Papi´ c, Quantum scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown of thermalization, and stability to perturbations, Phys. Rev. B98, 155134 (2018)

    work page 2018

  73. [74]

    D. N. Page, Average entropy of a subsystem, Phys. Rev. Lett.71, 1291 (1993)

    work page 1993

  74. [75]

    Lewellen, R

    K. Lewellen, R. Mukherjee, H. Guo, S. Roy, V. Fatemi, and D. Chowdhury, Frozonium: Freezing anharmonic- ity in Floquet superconducting circuits, Newton , 100434 (2026)

    work page 2026

  75. [76]

    Grabowski and P

    M. Grabowski and P. Mathieu, Structure of the conser- vation laws in quantum integrable spin chains with short range interactions, Annals of Physics243, 299 (1995). End Matter Third conserved charge: The integrable spin-1/2 XXZ model has several conserved charges. The first two of these are the net magnetization and the Hamiltonian which has been discusse...

    work page 1995

  76. [77]

    Mukherjee, S

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

    work page 2020

  77. [78]

    Mukherjee, A

    B. Mukherjee, A. Sen, D. Sen, and K. Sengupta, Dynamics of the vacuum state in a periodically driven Rydberg chain, Phys. Rev. B102, 075123 (2020)

    work page 2020

  78. [79]

    A. Sen, D. Sen, and K. Sengupta, Analytic approaches to periodically driven closed quantum systems: methods and applications, Journal of Physics: Condensed Matter33, 443003 (2021)

    work page 2021

  79. [80]

    Corcoran, M

    L. Corcoran, M. de Leeuw, and B. Pozsgay, Integrable models on Rydberg atom chains, SciPost Phys.18, 139 (2025)

    work page 2025

  80. [81]

    Banerjee, S

    T. Banerjee, S. Choudhury, and K. Sengupta, Exact Floquet flat band and heating suppression via two-tone drive protocols, New Journal of Physics27, 084506 (2025)

    work page 2025

Showing first 80 references.