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The interplay between quantum chaos and integrability has been extensively studied in the past decades.
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1987
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M. Berry, Quantum chaology, not quantum chaos, Physica Scripta 40
1989
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F. Haake, Quantum signatures of chaos, in Quantum Coherence in Mesoscopic Systems , edited by B. Kramer (Springer US, Boston, MA, 1991) pp. 583–595
1991
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1995
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T. Guhr, A. Müller–Groeling, and H. A. Weidenmüller, Random-matrix theories in quantum physics: common concepts, Physics Reports 299
1998
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H.-J. Stöckmann, Quantum Chaos: An Introduction (Cambridge University Press, 1999)
1999
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M. Srednicki, The approach to thermal equilibrium in quantized chaotic systems, Journal of Physics A: Mathematical and General 32
1999
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J. Berges, S. Borsányi, and C. Wetterich, Prethermalization, Phys. Rev. Lett. 93
2004
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L. Kofman, A. Linde, X. Liu, A. Maloney, L. McAllister, and E. Silverstein, Beauty is attractive: Moduli trapping at enhanced symmetry points, Journal of High Energy Physics 2004
2004
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P. Zanardi and N. Paunković, Ground state overlap and quantum phase transitions, Phys. Rev. E 74
2006
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M. Rigol, V. Dunjko, V. Yurovsky, and M. Olshanii, Relaxation in a completely integrable many-body quantum system: An ab initio study of the dynamics of the highly excited states of 1d lattice hard-core bosons, Phys. Rev. Lett. 98
2007
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L. Campos Venuti and P. Zanardi, Quantum critical scaling of the geometric tensors, Phys. Rev. Lett. 99
2007
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M. Moeckel and S. Kehrein, Interaction quench in the hubbard model, Phys. Rev. Lett. 100
2008
Cited alongside, same era.
L. Chierchia and J. N. Mather, Kolmogorov-Arnold-Moser theory, Scholarpedia 5
2010
Cited alongside, same era.
V. A. Yurovsky and M. Olshanii, Memory of the initial conditions in an incompletely chaotic quantum system: Universal predictions with application to cold atoms, Phys. Rev. Lett. 106
2011
Cited alongside, same era.
A. Gubin and L. F. Santos, Quantum chaos: An introduction via chains of interacting spins 1/2, Am. J. Phys 80
2012
Cited alongside, same era.
M. Kolodrubetz, V. Gritsev, and A. Polkovnikov, Classifying and measuring geometry of a quantum ground state manifold, Phys. Rev. B 88
2013
Cited alongside, same era.
M. Bukov, D. Sels, and A. Polkovnikov, Geometric speed limit of accessible many-body state preparation, Phys. Rev. X 9
2019
Later among the works it cites.
P. Weinberg and M. Bukov, QuSpin: a Python package for dynamics and exact diagonalisation of quantum many body systems. Part II: bosons, fermions and higher spins, SciPost Phys. 7
2019
Later among the works it cites.
M. Pandey, P. W. Claeys, D. K. Campbell, A. Polkovnikov, and D. Sels, Adiabatic eigenstate deformations as a sensitive probe for quantum chaos, Phys. Rev. X 10
2020
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M. Brenes, J. Goold, and M. Rigol, Low-frequency behavior of off-diagonal matrix elements in the integrable xxz chain and in a locally perturbed quantum-chaotic xxz chain, Phys. Rev. B 102
2020
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J. Durnin, M. J. Bhaseen, and B. Doyon, Nonequilibrium dynamics and weakly broken integrability, Phys. Rev. Lett. 127
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H. Kim, T. N. Ikeda, and D. A. Huse, Testing whether all eigenstates obey the eigenstate thermalization hypothesis, Phys. Rev. E 90
2014
Cited alongside, same era.
M. Kolodrubetz, E. Katz, and A. Polkovnikov, Dynamic trapping near a quantum critical point, Phys. Rev. B 91
2015
Cited alongside, same era.
F. Borgonovi, F. M. Izrailev, L. F. Santos, and V. G. Zelevinsky, Quantum chaos and thermalization in isolated systems of interacting particles, Phys. Rep. 626
2016
Cited alongside, same era.
L. D’Alessio, Y. Kafri, A. Polkovnikov, and M. Rigol, From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics, Advances in Physics 65
2016
Cited alongside, same era.
M. Bukov, M. Heyl, D. A. Huse, and A. Polkovnikov, Heating and many-body resonances in a periodically driven two-band system, Phys. Rev. B 93
2016
Cited alongside, same era.
M. Kolodrubetz, D. Sels, P. Mehta, and A. Polkovnikov, Geometry and non-adiabatic response in quantum and classical systems, Physics Reports 697
2017
Cited alongside, same era.
K. Funo, J.-N. Zhang, C. Chatou, K. Kim, M. Ueda, and A. del Campo, Universal work fluctuations during shortcuts to adiabaticity by counterdiabatic driving, Phys. Rev. Lett. 118
2017
Cited alongside, same era.
2021
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T. LeBlond, D. Sels, A. Polkovnikov, and M. Rigol, Universality in the onset of quantum chaos in many-body systems, Phys. Rev. B 104
2021
Later among the works it cites.
D. Sels and A. Polkovnikov, Dynamical obstruction to localization in a disordered spin chain, Phys. Rev. E 104
2021
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S. Sugiura, P. W. Claeys, A. Dymarsky, and A. Polkovnikov, Adiabatic landscape and optimal paths in ergodic systems, Phys. Rev. Res. 3
2021
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S. J. Garratt, S. Roy, and J. T. Chalker, Local resonances and parametric level dynamics in the many-body localized phase, Phys. Rev. B 104
2021
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V. B. Bulchandani, D. A. Huse, and S. Gopalakrishnan, Onset of many-body quantum chaos due to breaking integrability, Phys. Rev. B 105
2022
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Y. Zhang, L. Vidmar, and M. Rigol, Statistical properties of the off-diagonal matrix elements of observables in eigenstates of integrable systems, Phys. Rev. E 106
2022
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S. J. Garratt and S. Roy, Resonant energy scales and local observables in the many-body localized phase, Phys. Rev. B 106
2022
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F. M. Surace and O. Motrunich, Weak integrability breaking perturbations of integrable models, Phys. Rev. Res. 5
2023
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P. Orlov, A. Tiutiakina, R. Sharipov, E. Petrova, V. Gritsev, and D. V. Kurlov, Adiabatic eigenstate deformations and weak integrability breaking of heisenberg chain, Phys. Rev. B 107
2023
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2023
Closest in time.