- Physical Review Journals
All JournalsPhysics Magazine

PRX Quantum

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Featured in Physics
  • Open Access

ScarFinder: A Detector of Optimal Scar Trajectories in Quantum Many-Body Dynamics

Jie Ren1,*, Andrew Hallam1, Lei Ying2, and Zlatko Papić1

  • 1School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, United Kingdom
  • 2School of Physics and Zhejiang Key Laboratory of Micro-nano Quantum Chips and Quantum Control, Zhejiang University, Hangzhou 310027, China

  • *Contact author: J.Ren@leeds.ac.uk
PDF

PRX Quantum 6, 040332 – Published 12 November, 2025

DOI: https://doi.org/10.1103/8g8w-nkwx

Abstract

Mechanisms that give rise to coherent quantum dynamics, such as quantum many-body scars, have recently attracted much interest as a way of controlling quantum chaos. However, identifying the presence of quantum scars in general many-body Hamiltonians remains an outstanding challenge. Here we introduce ScarFinder, a variational framework that reveals possible scar-like dynamics without prior knowledge of scar states or their algebraic structure, assuming only that such dynamics remain low in entanglement. By iteratively evolving and projecting states within a variational manifold, ScarFinder isolates scarred trajectories by suppressing thermal contributions. We validate the method on the analytically tractable spin-1 XY model, recovering the known scar dynamics, as well as the mixed-field Ising model, where we capture and generalize the initial conditions previously associated with “weak thermalization.” We then apply the method to the PXP model of Rydberg atom arrays, finding a previously unknown trajectory with nearly-perfect revival dynamics in the thermodynamic limit. We also demonstrate that ScarFinder can efficiently identify the centers of stable islands in Poincaré sections of the mixed phase space that results from the projection of many-body quantum dynamics to a variational manifold. Our results establish ScarFinder as a powerful, model-agnostic tool for identifying and optimizing coherent dynamics in quantum many-body systems.

View figure in article

Physics Subject Headings (PhySH)

synopsis

Quantum Scars Unmasked

Published 12 November, 2025

A new approach finds useful patterns called quantum scars in the complex dynamics of quantum many-body systems.

See more in Physics

Popular Summary

A central challenge in quantum science is how to generate and preserve stable quantum behavior in systems that are naturally unstable and tend to thermalize. In everyday terms, interacting quantum systems quickly lose their coherence, relaxing into a featureless state—analogous to cream stirred into coffee becoming uniform. Yet, for applications in quantum technology (including computing, simulation, and sensing), sustaining long-lived, nonthermal behavior is essential. This raises a fundamental question: Can hidden structures within complex quantum dynamics protect coherence far from equilibrium?

In this work, we introduce ScarFinder, a general method designed to uncover these hidden structures, known as quantum many-body scars. Quantum scars are rare dynamical pathways where coherence persists unexpectedly long, even in highly chaotic environments. Our approach combines quantum simulation with classical optimization to automatically search for and stabilize these special states. Applying ScarFinder to programmable arrays of Rydberg atoms, we demonstrate the discovery of new, robust, and tunable families of scar states. Importantly, the method is broadly applicable because it requires no prior knowledge of the system’s microscopic details.

This framework opens a new direction for controlling quantum chaos and engineering stable states of matter. Beyond its immediate application in neutral-atom experiments, ScarFinder offers a powerful design tool for future quantum devices, providing a pathway toward more reliable platforms for quantum computation and simulation.

See Also

Finding Periodic Orbits in Projected Quantum Many-Body Dynamics

Elena Petrova, Marko Ljubotina, Gökhan Yalnız, and Maksym Serbyn
PRX Quantum 6, 040333 (2025)

Article Text

References (107)

  1. I. Bloch, J. Dalibard, and S. Nascimbène, Quantum simulations with ultracold quantum gases, Nat. Phys. 8, 267 (2012).
  2. I. M. Georgescu, S. Ashhab, and F. Nori, Quantum simulation, Rev. Mod. Phys. 86, 153 (2014).
  3. M. Kjaergaard, M. E. Schwartz, J. Braumüller, P. Krantz, J. I.-J. Wang, S. Gustavsson, and W. D. Oliver, Superconducting qubits: Current state of play, Annu. Rev. Condens. Matter Phys. 11, 369 (2020).
  4. A. Browaeys, and T. Lahaye, Many-body physics with individually controlled Rydberg atoms, Nat. Phys. 16, 132 (2020).
  5. C. Monroe, W. C. Campbell, L.-M. Duan, Z.-X. Gong, A. V. Gorshkov, P. W. Hess, R. Islam, K. Kim, N. M. Linke, G. Pagano, P. Richerme, C. Senko, and N. Y. Yao, Programmable quantum simulations of spin systems with trapped ions, Rev. Mod. Phys. 93, 025001 (2021).
  6. J. M. Deutsch, Quantum statistical mechanics in a closed system, Phys. Rev. A 43, 2046 (1991).
  7. M. Srednicki, Chaos and quantum thermalization, Phys. Rev. E 50, 888 (1994).
  8. M. Rigol, V. Dunjko, and M. Olshanii, Thermalization and its mechanism for generic isolated quantum systems, Nature 452, 854 (2008).
  9. L. D’Alessio, Y. Kafri, A. Polkovnikov, and M. Rigol, From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics, Adv. Phys. 65, 239 (2016).
  10. M. Ueda, Quantum equilibration, thermalization and prethermalization in ultracold atoms, Nat. Rev. Phys. 2, 669 (2020).
  11. M. Serbyn, D. A. Abanin, and Z. Papić, Quantum many-body scars and weak breaking of ergodicity, Nat. Phys. 17, 675 (2021).
  12. S. Moudgalya, B. A. Bernevig, and N. Regnault, Quantum many-body scars and Hilbert space fragmentation: A review of exact results, Rep. Prog. Phys. 85, 086501 (2022).
  13. A. Chandran, T. Iadecola, V. Khemani, and R. Moessner, Quantum many-body scars: A quasiparticle perspective, Annu. Rev. Condens. Matter Phys. 14, 443 (2023).
  14. 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 551, 579 (2017).
  15. C. J. Turner, A. A. Michailidis, D. A. Abanin, M. Serbyn, and Z. Papić, Weak ergodicity breaking from quantum many-body scars, Nat. Phys. 14, 745 (2018).
  16. S. Moudgalya, N. Regnault, and B. A. Bernevig, Entanglement of exact excited states of Affleck-Kennedy-Lieb-Tasaki models: Exact results, many-body scars, and violation of the strong eigenstate thermalization hypothesis, Phys. Rev. B 98, 235156 (2018).
  17. M. Schecter, and T. Iadecola, Weak ergodicity breaking and quantum many-body scars in spin-1 xy magnets, Phys. Rev. Lett. 123, 147201 (2019).
  18. K. Yang, Y. Zhang, K.-Y. Li, K.-Y. Lin, S. Gopalakrishnan, M. Rigol, and B. L. Lev, Phantom energy in the nonlinear response of a quantum many-body scar state, Science 385, 1063 (2024).
  19. A. Hudomal, I. Vasić, N. Regnault, and Z. Papić, Quantum scars of bosons with correlated hopping, Commun. Phys. 3, 99 (2020).
  20. H. Zhao, J. Vovrosh, F. Mintert, and J. Knolle, Quantum many-body scars in optical lattices, Phys. Rev. Lett. 124, 160604 (2020).
  21. J.-Y. Desaules, A. Hudomal, C. J. Turner, and Z. Papić, Proposal for realizing quantum scars in the tilted 1D Fermi-Hubbard model, Phys. Rev. Lett. 126, 210601 (2021).
  22. S. Scherg, T. Kohlert, P. Sala, F. Pollmann, B. Hebbe Madhusudhana, I. Bloch, and M. Aidelsburger, Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains, Nat. Commun. 12, 4490 (2021).
  23. G.-X. Su, H. Sun, A. Hudomal, J.-Y. Desaules, Z.-Y. Zhou, B. Yang, J. C. Halimeh, Z.-S. Yuan, Z. Papić, and J.-W. Pan, Observation of many-body scarring in a Bose-Hubbard quantum simulator, Phys. Rev. Res. 5, 023010 (2023).
  24. D. Adler, D. Wei, M. Will, K. Srakaew, S. Agrawal, P. Weckesser, R. Moessner, F. Pollmann, I. Bloch, and J. Zeiher, Observation of Hilbert space fragmentation and fractonic excitations in 2D, Nature 636, 80 (2024).
  25. B. Evrard, A. Pizzi, S. I. Mistakidis, and C. B. Dag, Quantum scars and regular eigenstates in a chaotic spinor condensate, Phys. Rev. Lett. 132, 020401 (2024).
  26. P. Zhang, H. Dong, Y. Gao, L. Zhao, J. Hao, J.-Y. Desaules, Q. Guo, J. Chen, J. Deng, B. Liu et al., Many-body Hilbert space scarring on a superconducting processor, Nat. Phys. 19, 120 (2023).
  27. Z. Guo, B. Liu, Y. Gao, A. Yang, J. Wang, J. Ma, and L. Ying, Origin of Hilbert-space quantum scars in unconstrained models, Phys. Rev. B 108, 075124 (2023).
  28. P. G. Larsen, A. E. B. Nielsen, A. Eckardt, and F. Petiziol, Experimental protocol for observing single quantum many-body scars with transmon qubits, ArXiv:2410.14613.
  29. N. Shiraishi, and T. Mori, Systematic construction of counterexamples to the eigenstate thermalization hypothesis, Phys. Rev. Lett. 119, 030601 (2017).
  30. S. Ok, K. Choo, C. Mudry, C. Castelnovo, C. Chamon, and T. Neupert, Topological many-body scar states in dimensions one, two, and three, Phys. Rev. Res. 1, 033144 (2019).
  31. N. Shibata, N. Yoshioka, and H. Katsura, Onsager’s scars in disordered spin chains, Phys. Rev. Lett. 124, 180604 (2020).
  32. P. A. McClarty, M. Haque, A. Sen, and J. Richter, Disorder-free localization and many-body quantum scars from magnetic frustration, Phys. Rev. B 102, 224303 (2020).
  33. K. Lee, R. Melendrez, A. Pal, and H. J. Changlani, Exact three-colored quantum scars from geometric frustration, Phys. Rev. B 101, 241111(R) (2020).
  34. S. Mohapatra, and A. C. Balram, Pronounced quantum many-body scars in the one-dimensional spin-1 Kitaev model, Phys. Rev. B 107, 235121 (2023).
  35. P. Kolb, and K. Pakrouski, Stability of the many-body scars in fermionic spin-1/2 models, PRX Quantum 4, 040348 (2023).
  36. N. S. Srivatsa, H. Yarloo, R. Moessner, and A. E. B. Nielsen, Mobility edges through inverted quantum many-body scarring, Phys. Rev. B 108, L100202 (2023).
  37. J.-Y. Desaules, D. Banerjee, A. Hudomal, Z. Papić, A. Sen, and J. C. Halimeh, Weak ergodicity breaking in the Schwinger model, Phys. Rev. B 107, L201105 (2023).
  38. J. C. Halimeh, L. Barbiero, P. Hauke, F. Grusdt, and A. Bohrdt, Robust quantum many-body scars in lattice gauge theories, Quantum 7, 1004 (2023).
  39. L. Gotta, S. Moudgalya, and L. Mazza, Asymptotic quantum many-body scars, Phys. Rev. Lett. 131, 190401 (2023).
  40. L. Logarić, S. Dooley, S. Pappalardi, and J. Goold, Quantum many-body scars in dual-unitary circuits, Phys. Rev. Lett. 132, 010401 (2024).
  41. A. Pizzi, B. Evrard, C. B. Dag, and J. Knolle, Quantum scars in many-body systems, Nat. Commun. 16, 6722 (2025).
  42. S. Dooley, Robust quantum sensing in strongly interacting systems with many-body scars, PRX Quantum 2, 020330 (2021).
  43. 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).
  44. S. Dooley, S. Pappalardi, and J. Goold, Entanglement enhanced metrology with quantum many-body scars, Phys. Rev. B 107, 035123 (2023).
  45. A. Omran, H. Levine, A. Keesling, G. Semeghini, T. T. Wang, S. Ebadi, H. Bernien, A. S. Zibrov, H. Pichler, S. Choi, J. Cui, M. Rossignolo, P. Rembold, S. Montangero, T. Calarco, M. Endres, M. Greiner, V. Vuletić, and M. D. Lukin, Generation and manipulation of Schrödinger cat states in Rydberg atom arrays, Science 365, 570 (2019).
  46. H. Dong, J.-Y. Desaules, Y. Gao, N. Wang, Z. Guo, J. Chen, Y. Zou, F. Jin, X. Zhu, P. Zhang, H. Li, Z. Wang, Q. Guo, J. Zhang, L. Ying, and Z. Papić, Disorder-tunable entanglement at infinite temperature, Sci. Adv. 9, eadj3822 (2023).
  47. Z. Papić, Weak ergodicity breaking through the lens of quantum entanglement, ArXiv:2108.03460.
  48. S. Moudgalya, N. Regnault, and B. A. Bernevig, η-pairing in Hubbard models: From spectrum generating algebras to quantum many-body scars, Phys. Rev. B 102, 085140 (2020).
  49. D. K. Mark, C.-J. Lin, and O. I. Motrunich, Unified structure for exact towers of scar states in the Affleck-Kennedy-Lieb-Tasaki and other models, Phys. Rev. B 101, 195131 (2020).
  50. N. O’Dea, F. Burnell, A. Chandran, and V. Khemani, From tunnels to towers: Quantum scars from lie algebras and q-deformed lie algebras, Phys. Rev. Res. 2, 043305 (2020).
  51. K. Bull, J.-Y. Desaules, and Z. Papić, Quantum scars as embeddings of weakly broken Lie algebra representations, Phys. Rev. B 101, 165139 (2020).
  52. P. Fendley, K. Sengupta, and S. Sachdev, Competing density-wave orders in a one-dimensional hard-boson model, Phys. Rev. B 69, 075106 (2004).
  53. I. Lesanovsky, and H. Katsura, Interacting Fibonacci anyons in a Rydberg gas, Phys. Rev. A 86, 041601(R) (2012).
  54. 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).
  55. 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).
  56. F. M. Surace, P. P. Mazza, G. Giudici, A. Lerose, A. Gambassi, and M. Dalmonte, Lattice gauge theories and string dynamics in Rydberg atom quantum simulators, Phys. Rev. X 10, 021041 (2020).
  57. V. Khemani, C. R. Laumann, and A. Chandran, Signatures of integrability in the dynamics of Rydberg-blockaded chains, Phys. Rev. B 99, 161101(R) (2019).
  58. C.-J. Lin, and O. I. Motrunich, Exact quantum many-body scar states in the Rydberg-blockaded atom chain, Phys. Rev. Lett. 122, 173401 (2019).
  59. I. Mondragon-Shem, M. G. Vavilov, and I. Martin, Fate of quantum many-body scars in the presence of disorder, PRX Quantum 2, 030349 (2021).
  60. K. Omiya, and M. Müller, Quantum many-body scars in bipartite Rydberg arrays originating from hidden projector embedding, Phys. Rev. A 107, 023318 (2023).
  61. A. N. Ivanov, and O. I. Motrunich, Many exact area-law scar eigenstates in the nonintegrable PXP and related models, ArXiv:2503.16327.
  62. D. Bluvstein, A. Omran, H. Levine, A. Keesling, G. Semeghini, S. Ebadi, T. T. Wang, A. A. Michailidis, N. Maskara, W. W. Ho, S. Choi, M. Serbyn, M. Greiner, V. Vuletić, and M. D. Lukin, Controlling quantum many-body dynamics in driven Rydberg atom arrays, Science 371, 1355 (2021).
  63. L. Zhao, P. R. Datla, W. Tian, M. M. Aliyu, and H. Loh, Observation of quantum thermalization restricted to Hilbert space fragments and z2k scars, Phys. Rev. X 15, 011035 (2025).
  64. K. Pakrouski, P. N. Pallegar, F. K. Popov, and I. R. Klebanov, Many-body scars as a group invariant sector of Hilbert space, Phys. Rev. Lett. 125, 230602 (2020).
  65. D. K. Mark, and O. I. Motrunich, η-pairing states as true scars in an extended Hubbard model, Phys. Rev. B 102, 075132 (2020).
  66. J. Ren, C. Liang, and C. Fang, Quasisymmetry groups and many-body scar dynamics, Phys. Rev. Lett. 126, 120604 (2021).
  67. J. Ren, C. Liang, and C. Fang, Deformed symmetry structures and quantum many-body scar subspaces, Phys. Rev. Res. 4, 013155 (2022).
  68. B. Buča, Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems, Phys. Rev. X 13, 031013 (2023).
  69. S. Moudgalya, and O. I. Motrunich, Exhaustive characterization of quantum many-body scars using commutant algebras, Phys. Rev. X 14, 041069 (2024).
  70. 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).
  71. A. A. Michailidis, C. J. Turner, Z. Papić, D. A. Abanin, and M. Serbyn, Slow quantum thermalization and many-body revivals from mixed phase space, Phys. Rev. X 10, 011055 (2020).
  72. 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).
  73. 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).
  74. 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).
  75. C.-J. Lin, and O. I. Motrunich, Quasiparticle explanation of the weak-thermalization regime under quench in a nonintegrable quantum spin chain, Phys. Rev. A 95, 023621 (2017).
  76. F. Wilczek, Quantum time crystals, Phys. Rev. Lett. 109, 160401 (2012).
  77. V. Khemani, R. Moessner, and S. L. Sondhi, A brief history of time crystals, ArXiv:1910.10745.
  78. 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).
  79. F. Ares, P. Calabrese, and S. Murciano, The quantum Mpemba effects, Nat. Rev. Phys. 7, 451 (2025).
  80. T. Bhore, L. Su, I. Martin, A. A. Clerk, and Z. Papić, Quantum Mpemba effect without global symmetries, ArXiv:2505.17181.
  81. J. I. Cirac, D. Pérez-García, N. Schuch, and F. Verstraete, Matrix product states and projected entangled pair states: Concepts, symmetries, theorems, Rev. Mod. Phys. 93, 045003 (2021).
  82. G. Vidal, Efficient classical simulation of slightly entangled quantum computations, Phys. Rev. Lett. 91, 147902 (2003).
  83. J. Haegeman, J. I. Cirac, T. J. Osborne, I. Pižorn, H. Verschelde, and F. Verstraete, Time-dependent variational principle for quantum lattices, Phys. Rev. Lett. 107, 070601 (2011).
  84. J. Haegeman, M. Mariën, T. J. Osborne, and F. Verstraete, Geometry of matrix product states: Metric, parallel transport, and curvature, J. Math. Phys. 55, 021902 (2014).
  85. S. Chattopadhyay, H. Pichler, M. D. Lukin, and W. W. Ho, Quantum many-body scars from virtual entangled pairs, Phys. Rev. B 101, 174308 (2020).
  86. T. Iadecola, M. Schecter, and S. Xu, Quantum many-body scars from magnon condensation, Phys. Rev. B 100, 184312 (2019).
  87. E. J. Heller, Bound-state eigenfunctions of classically chaotic Hamiltonian systems: Scars of periodic orbits, Phys. Rev. Lett. 53, 1515 (1984).
  88. E. J. Heller, in Chaos and quantum physics, (North-Holland: Amsterdam, 1991), Vol. 52.
  89. E. Bogomolny, Smoothed wave functions of chaotic quantum systems, Phys. D: Nonlinear Phenomena 31, 169 (1988).
  90. M. V. Berry, Quantum scars of classical closed orbits in phase space, Proc. R. Soc. Lond. A. Math. Phys. Sci. 423, 219 (1989).
  91. We use the iTEBD algorithm to simulate the time evolution. Since local terms in the PXP Hamiltonian act on three neighboring sites, a four-site unit cell is required to implement the Trotter decomposition. Nevertheless, the resulting dynamics largely preserve the underlying two-site translational symmetry.
  92. S. Dooley, and G. Kells, Enhancing the effect of quantum many-body scars on dynamics by minimizing the effective dimension, Phys. Rev. B 102, 195114 (2020).
  93. V. I. Arnold, Mathematical Methods of Classical Mechanics, Graduate Texts in Mathematics, 2nd ed. (Springer, New York, 1989), Vol. 60.
  94. Martin C. Gutzwiller, Chaos in Classical and Quantum Mechanics, Interdisciplinary Applied Mathematics (Springer, New York, 1990), Vol. 1.
  95. Hans-Jürgen Stöckmann, Quantum Chaos: An Introduction, Cambridge Nonlinear Science Series (Cambridge Nonlinear Science Series, Cambridge, 1999), Vol. 3.
  96. Steven H. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering (Westview Press, Boulder, CO, 2001), Vol. 1.
  97. S.-Y. Zhang, D. Yuan, T. Iadecola, S. Xu, and D.-L. Deng, Extracting quantum many-body scarred eigenstates with matrix product states, Phys. Rev. Lett. 131, 020402 (2023).
  98. C. M. Langlett, Z.-C. Yang, J. Wildeboer, A. V. Gorshkov, T. Iadecola, and S. Xu, Rainbow scars: From area to volume law, Phys. Rev. B 105, L060301 (2022).
  99. E. Petrova, M. Ljubotina, G. Yalnız, and M. Serbyn, Finding periodic orbits in projected quantum many-body dynamics, PRX Quantum 6, 040333 (2025).
  100. https://doi.org/10.5518/1775.
  101. E. Chertkov, and B. K. Clark, Computational inverse method for constructing spaces of quantum models from wave functions, Phys. Rev. X 8, 031029 (2018).
  102. X.-L. Qi, and D. Ranard, Determining a local Hamiltonian from a single eigenstate, Quantum 3, 159 (2019).
  103. C.-J. Lin, V. Calvera, and T. H. Hsieh, Quantum many-body scar states in two-dimensional Rydberg atom arrays, Phys. Rev. B 101, 220304(R) (2020).
  104. A. A. Michailidis, C. J. Turner, Z. Papić, D. A. Abanin, and M. Serbyn, Stabilizing two-dimensional quantum scars by deformation and synchronization, Phys. Rev. Res. 2, 022065(R) (2020).
  105. M. Alishahiha, and M. J. Vasli, Thermalization in Krylov basis, The European Physical Journal C 85, 39 (2025).
  106. C. Peng, and X. Cui, Bridging quantum many-body scars and quantum integrability in Ising chains with transverse and longitudinal fields, Phys. Rev. B 106, 214311 (2022).
  107. I. A. Maceira, and A. M. Läuchli, Thermalization dynamics in closed quantum many body systems: A precision large scale exact diagonalization study, ArXiv:2409.18863.

Outline

Information

PRX Quantum 6, 040332– Published 12 November, 2025
  • Received 23 April 2025
  • Revised 14 August 2025
  • Accepted 25 September 2025
Crossmark - Check for updates button
Creative Commons Logo

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.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation