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  • Open Access

Floquet-engineered fidelity revivals in the PXP model

F. Perciavalle*, F. Plastina, and N. Lo Gullo

  • *Contact author: fraperciavalle97@gmail.com
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Phys. Rev. B 114, 074301 – Published 3 August, 2026

DOI: https://doi.org/10.1103/nbr6-9jz2

Abstract

We investigate the dynamics of the periodically driven PXP model and show how the interplay between spectral properties and initial states gives rise to distinct dynamical regimes, revealed by the pattern of the revivals. For Néel-ordered initial states, revivals follow distinct trajectories governed primarily by a dominant quasienergy spacing in the Floquet spectrum. Initial states interpolating between Néel and fully polarized configurations display hybrid dynamics, whose character can be tuned through their overlap with Floquet eigenstates by varying the driving parameters. This tunability also provides different pathways to avoid Floquet thermalization, highlighting how both the initial state and the driving protocol shape long-lived dynamics in driven quantum many-body systems.

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References (61)

  1. I. M. Georgescu, S. Ashhab, and F. Nori, Quantum simulation, Rev. Mod. Phys. 86, 153 (2014).
  2. A. J. Daley, I. Bloch, C. Kokail, S. Flannigan, N. Pearson, M. Troyer, and P. Zoller, Practical quantum advantage in quantum simulation, Nature (London) 607, 667 (2022).
  3. A. Browaeys and T. Lahaye, Many-body physics with individually controlled Rydberg atoms, Nat. Phys. 16, 132 (2020).
  4. A. Aspuru-Guzik and P. Walther, Photonic quantum simulators, Nat. Phys. 8, 285 (2012).
  5. E. Altman et al., Quantum simulators: Architectures and opportunities, PRX Quantum 2, 017003 (2021).
  6. L. Amico et al., Roadmap on atomtronics: State of the art and perspective, AVS Quantum Sci. 3, 039201 (2021).
  7. J. Polo, W. J. Chetcuti, E. C. Domanti, P. Kitson, A. Osterloh, F. Perciavalle, V. P. Singh, and L. Amico, Perspective on new implementations of atomtronic circuits, Quantum Sci. Technol. 9, 030501 (2024).
  8. O. Morsch, G. M. Palma, and D. Rossini, Quantum simulations of complex systems, Riv. Nuovo Cimento 48, 275 (2025).
  9. J. Polo, W. Chetcuti, T. Haug, A. Minguzzi, K. Wright, and L. Amico, Persistent currents in ultracold gases, Phys. Rep. 1137, 1 (2025).
  10. L. D’Alessio and M. Rigol, Long-time behavior of isolated periodically driven interacting lattice systems, Phys. Rev. X 4, 041048 (2014).
  11. M. Rigol, V. Dunjko, and M. Olshanii, Thermalization and its mechanism for generic isolated quantum systems, Nature (London) 452, 854 (2008).
  12. M. Srednicki, Chaos and quantum thermalization, Phys. Rev. E 50, 888 (1994).
  13. H. Bernien, S. Schwartz, A. Keesling, H. Levine, A. Omran, H. Pichler, S. Choi, A. S. Zibrov, M. Endres, M. Greiner, et al., Probing many-body dynamics on a 51-atom quantum simulator, Nature (London) 551, 579 (2017).
  14. C. J. Turner, A. A. Michailidis, D. A. Abanin, M. Serbyn, and Z. Papić, Quantum scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown of thermalization, and stability to perturbations, Phys. Rev. B 98, 155134 (2018).
  15. A. Pal and D. A. Huse, Many-body localization phase transition, Phys. Rev. B 82, 174411 (2010).
  16. L. Capizzi, J. Wang, X. Xu, L. Mazza, and D. Poletti, Hydrodynamics and the eigenstate thermalization hypothesis, Phys. Rev. X 15, 011059 (2025).
  17. A. M. Kaufman, M. E. Tai, A. Lukin, M. Rispoli, R. Schittko, P. M. Preiss, and M. Greiner, Quantum thermalization through entanglement in an isolated many-body system, Science 353, 794 (2016).
  18. J. Smith, A. Lee, P. Richerme, B. Neyenhuis, P. W. Hess, P. Hauke, M. Heyl, D. A. Huse, and C. Monroe, Many-body localization in a quantum simulator with programmable random disorder, Nat. Phys. 12, 907 (2016).
  19. I. Lesanovsky and H. Katsura, Interacting Fibonacci anyons in a Rydberg gas, Phys. Rev. A 86, 041601(R) (2012).
  20. W. W. Ho, S. Choi, H. Pichler, and M. D. Lukin, Periodic orbits, entanglement, and quantum many-body scars in constrained models: Matrix product state approach, Phys. Rev. Lett. 122, 040603 (2019).
  21. M. Serbyn, D. A. Abanin, and Z. Papić, Quantum many-body scars and weak breaking of ergodicity, Nat. Phys. 17, 675 (2021).
  22. A. Hudomal, J.-Y. Desaules, B. Mukherjee, G.-X. Su, J. C. Halimeh, and Z. Papić, Driving quantum many-body scars in the PXP model, Phys. Rev. B 106, 104302 (2022).
  23. A. Chandran, T. Iadecola, V. Khemani, and R. Moessner, Quantum many-body scars: A quasiparticle perspective, Annu. Rev. Condens. Matter Phys. 14, 443 (2023).
  24. S. Choi, C. J. Turner, H. Pichler, W. W. Ho, A. A. Michailidis, Z. Papić, M. Serbyn, M. D. Lukin, and D. A. Abanin, Emergent SU(2) dynamics and perfect quantum many-body scars, Phys. Rev. Lett. 122, 220603 (2019).
  25. A. Lerose, T. Parolini, R. Fazio, D. A. Abanin, and S. Pappalardi, Theory of robust quantum many-body scars in long-range interacting systems, Phys. Rev. X 15, 011020 (2025).
  26. J.-Y. Desaules, F. Pietracaprina, Z. Papić, J. Goold, and S. Pappalardi, Extensive multipartite entanglement from SU(2) quantum many-body scars, Phys. Rev. Lett. 129, 020601 (2022).
  27. A. Kerschbaumer, M. Ljubotina, M. Serbyn, and J.-Y. Desaules, Quantum many-body scars beyond the PXP model in Rydberg simulators, Phys. Rev. Lett. 134, 160401 (2025).
  28. A. Daniel, A. Hallam, J.-Y. Desaules, A. Hudomal, G.-X. Su, J. C. Halimeh, and Z. Papić, Bridging quantum criticality via many-body scarring, Phys. Rev. B 107, 235108 (2023).
  29. A. Pizzi, L.-H. Kwan, B. Evrard, C. B. Dag, and J. Knolle, Genuine quantum scars in many-body spin systems, Nat. Commun. 16, 6722 (2025).
  30. F. Perciavalle, G. M. Rizzo, F. Plastina, and N. L. Gullo, Local reminiscence in the PXP model, arXiv:2509.19944.
  31. A. Banerjee, Quantum scarring enhances non-Markovianity of subsystem dynamics New J. Phys. 28, 054502 (2026).
  32. F. M. Surace, M. Votto, E. G. Lazo, A. Silva, M. Dalmonte, and G. Giudici, Exact many-body scars and their stability in constrained quantum chains, Phys. Rev. B 103, 104302 (2021).
  33. A. Eckardt and E. Anisimovas, High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective, New J. Phys. 17, 093039 (2015).
  34. G. E. Santoro, Introduction to Floquet Theory, Lecture Notes (SISSA, Trieste, 2019).
  35. A. Russomanno, Periodic Driving of a Coherent Quantum Many Body System and Relaxation to the Floquet Diagonal Ensemble, Ph.D. thesis, Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, 2014.
  36. E. C. Domanti, D. Zappalà, A. Bermudez, and L. Amico, Floquet-Rydberg quantum simulator for confinement in Z2 gauge theories, Phys. Rev. Res. 6, L022059 (2024).
  37. S. Geier, N. Thaicharoen, C. Hainaut, T. Franz, A. Salzinger, A. Tebben, D. Grimshandl, G. Zürn, and M. Weidemüller, Floquet Hamiltonian engineering of an isolated many-body spin system, Science 374, 1149 (2021).
  38. M. Sato and T. N. Ikeda, Floquet theory and applications in open quantum and classical systems, J. Phys. Soc. Jpn. 94, 111007 (2025).
  39. M. Holthaus, Floquet engineering with quasienergy bands of periodically driven optical lattices, J. Phys. B: At. Mol. Opt. Phys. 49, 013001 (2016).
  40. S. Lorenzo, J. Marino, F. Plastina, G. M. Palma, and T. J. G. Apollaro, Quantum critical scaling under periodic driving, Sci. Rep. 7, 5672 (2017).
  41. D. Bluvstein, A. Omran, H. Levine, A. Keesling, G. Semeghini, S. Ebadi, T. T. Wang, A. A. Michailidis, N. Maskara, W. W. Ho, et al., Controlling quantum many-body dynamics in driven Rydberg atom arrays, Science 371, 1355 (2021).
  42. P. Dutta, S. Choudhury, and V. Shukla, Prethermalization in the PXP model under continuous quasiperiodic driving, Phys. Rev. B 111, 064303 (2025).
  43. H. K. Park and S. Lee, Subharmonic fidelity revival in a driven PXP model, Phys. Rev. B 107, 205142 (2023).
  44. P. Dutta, K. L. Panigrahi, and V. Shukla, Controlling quantum scars and engineering subharmonic responses with a two frequency drive, arXiv:2508.12809.
  45. L.-Z. Tang, X. Li, Z. D. Wang, and D.-W. Zhang, Discrete time crystals enabled by Floquet strong Hilbert space fragmentation, Phys. Rev. B 113, 214303 (2026).
  46. 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).
  47. W. Deng and Z.-C. Yang, Using models with static quantum many-body scars to generate time-crystalline behavior under periodic driving, Phys. Rev. B 108, 205129 (2023).
  48. X. Luo, Y. Zhou, Z. Xu, and W. Jiang, Discrete time quasi-crystal in Rydberg atomic chain, arXiv:2505.09117.
  49. A. Haldar, R. Moessner, and A. Das, Onset of Floquet thermalization, Phys. Rev. B 97, 245122 (2018).
  50. L. Staszewski, A. Haldar, P. W. Claeys, and A. Wietek, Krylov space dynamics of ergodic and dynamically frozen Floquet systems, arXiv:2510.19824.
  51. K. Seetharam, P. Titum, M. Kolodrubetz, and G. Refael, Absence of thermalization in finite isolated interacting Floquet systems, Phys. Rev. B 97, 014311 (2018).
  52. Y. Hou, A. Pizzi, H. Jin, J. Knolle, R. Moessner, and H. Zhao, Floquet superheating, arXiv:2511.12877.
  53. G. Giudici, F. M. Surace, and H. Pichler, Unraveling PXP many-body scars through Floquet dynamics, Phys. Rev. Lett. 133, 190404 (2024).
  54. B. Mukherjee, S. Nandy, A. Sen, D. Sen, and K. Sengupta, Collapse and revival of quantum many-body scars via Floquet engineering, Phys. Rev. B 101, 245107 (2020).
  55. K. Mizuta, K. Takasan, and N. Kawakami, Exact Floquet quantum many-body scars under Rydberg blockade, Phys. Rev. Res. 2, 033284 (2020).
  56. 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).
  57. A. Haldar, D. Sen, R. Moessner, and A. Das, Dynamical freezing and scar points in strongly driven Floquet matter: Resonance vs emergent conservation laws, Phys. Rev. X 11, 021008 (2021).
  58. A. Lazarides, A. Das, and R. Moessner, Equilibrium states of generic quantum systems subject to periodic driving, Phys. Rev. E 90, 012110 (2014).
  59. T. Mori, T. N. Ikeda, E. Kaminishi, and M. Ueda, Thermalization and prethermalization in isolated quantum systems: A theoretical overview, J. Phys. B: At. Mol. Opt. Phys. 51, 112001 (2018).
  60. M. C. Bañuls, J. I. Cirac, and M. B. Hastings, Strong and weak thermalization of infinite nonintegrable quantum systems, Phys. Rev. Lett. 106, 050405 (2011).
  61. S. Krämer, D. Plankensteiner, L. Ostermann, and H. Ritsch, QUANTUMOPTICS.JL: A Julia framework for simulating open quantum systems, Comput. Phys. Commun. 227, 109 (2018).

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Phys. Rev. B 114, 074301– Published 3 August, 2026
  • Received 6 February 2026
  • Revised 16 July 2026
  • Accepted 20 July 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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