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We study the matrix elements of few-body observables, focusing on the off-diagonal ones, in the eigenstates of the two-dimensional transverse field Ising model.
T. A. Brody, J. Flores, J. B. French, P. A. Mello, A. Pandey, and S. S. M. Wong, “Random-matrix physics: spectrum and strength fluctuations,” Rev. Mod. Phys. 53
1981
Earlier work this paper cites.
O. Bohigas, M. J. Giannoni, and C. Schmit, “Characterization of chaotic quantum spectra and universality of level fluctuation laws,” Phys. Rev. Lett. 52
1984
Earlier work this paper cites.
J. M. Deutsch, “Quantum statistical mechanics in a closed system,” Phys. Rev. A 43
1991
Earlier work this paper cites.
F. Haake, Quantum Signatures of Chaos (Springer-Verlag, Berlin, 1991)
1991
Earlier work this paper cites.
M. Srednicki, “Chaos and quantum thermalization,” Phys. Rev. E 50
1994
Earlier work this paper cites.
M. Srednicki, “The approach to thermal equilibrium in quantized chaotic systems,” Journal of Physics A: Mathematical and General 32
1999
Earlier work this paper cites.
L. Kaplan and T. Papenbrock, “Wave function structure in two-body random matrix ensembles,” Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
J. Flores, M. Horoi, M. Müller, and T. H. Seligman, “Spectral statistics of the two-body random ensemble revisited,” Phys. Rev. E 63
2001
Earlier work this paper cites.
T. Kinoshita, T. Wenger, and D. S. Weiss, “A quantum Newton’s cradle,” Nature 440
2006
Earlier work this paper cites.
M. Rigol, A. Muramatsu, and M. Olshanii, “Hard-core bosons on optical superlattices: Dynamics and relaxation in the superfluid and insulating regimes,” Phys. Rev. A 74
2006
Earlier work this paper cites.
M. Rigol, V. Dunjko, V. Yurovsky, and M. Olshanii, “Relaxation in a completely integrable many-body quantum system: An Ab Initio
2007
Earlier work this paper cites.
C. Kollath, A. M. Läuchli, and E. Altman, “Quench dynamics and nonequilibrium phase diagram of the Bose-Hubbard model,” Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
S. R. Manmana, S. Wessel, R. M. Noack, and A. Muramatsu, “Strongly correlated fermions after a quantum quench,” Phys. Rev. Lett. 98
2007
Earlier work this paper cites.
V. Oganesyan and D. A. Huse, “Localization of interacting fermions at high temperature,” Phys. Rev. B 75
2007
Earlier work this paper cites.
I. Bloch, J. Dalibard, and W. Zwerger, “Many-body physics with ultracold gases,” Rev. Mod. Phys. 80
2008
Earlier work this paper cites.
M. Rigol, V. Dunjko, and M. Olshanii, “Thermalization and its mechanism for generic isolated quantum systems,” Nature 452
2008
Earlier work this paper cites.
M. Cramer, A. Flesch, I. P. McCulloch, U. Schollwöck, and J. Eisert, “Exploring local quantum many-body relaxation by atoms in optical superlattices,” Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
A. Flesch, M. Cramer, I. P. McCulloch, U. Schollwöck, and J. Eisert, “Probing local relaxation of cold atoms in optical superlattices,” Phys. Rev. A 78
2008
Earlier work this paper cites.
M. Eckstein, M. Kollar, and P. Werner, “Thermalization after an interaction quench in the Hubbard model,” Phys. Rev. Lett. 103
2009
Earlier work this paper cites.
J. von Neumann, Zs. Phys. 57
2010
Earlier work this paper cites.
M. Rigol and L. F. Santos, “Quantum chaos and thermalization in gapped systems,” Phys. Rev. A 82
2010
Cited alongside, same era.
G. Biroli, C. Kollath, and A. M. Läuchli, “Effect of rare fluctuations on the thermalization of isolated quantum systems,” Phys. Rev. Lett. 105
2010
Cited alongside, same era.
G. Roux, “Finite-size effects in global quantum quenches: Examples from free bosons in an harmonic trap and the one-dimensional Bose-Hubbard model,” Phys. Rev. A 81
2010
Cited alongside, same era.
M. A. Cazalilla, R. Citro, T. Giamarchi, E. Orignac, and M. Rigol, “One dimensional bosons: From condensed matter systems to ultracold gases,” Rev. Mod. Phys. 83
2011
Cited alongside, same era.
M. C. Bañuls, J. I. Cirac, and M. B. Hastings, “Strong and weak thermalization of infinite nonintegrable quantum systems,” Phys. Rev. Lett. 106
2011
R. Steinigeweg, A. Khodja, H. Niemeyer, C. Gogolin, and J. Gemmer, “Pushing the limits of the eigenstate thermalization hypothesis towards mesoscopic quantum systems,” Phys. Rev. Lett. 112
2014
Later among the works it cites.
T. Langen, S. Erne, R. Geiger, B. Rauer, T. Schweigler, M. Kuhnert, W. Rohringer, I. E. Mazets, T. Gasenzer, and J. Schmiedmayer, “Experimental observation of a generalized Gibbs ensemble,” Science 348
2015
Later among the works it cites.
M. Schreiber, S. S. Hodgman, P. Bordia, H. P. Luschen, M. H. Fischer, R. Vosk, E. Altman, U. Schneider, and I. Bloch, “Observation of many-body localization of interacting fermions in a quasirandom optical lattice,” Science 349
2015
Later among the works it cites.
B. Bertini, F. H. L. Essler, S. Groha, and N. J. Robinson, “Prethermalization and thermalization in models with weak integrability breaking,” Phys. Rev. Lett. 115
2015
Later among the works it cites.
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Cited alongside, same era.
P. Calabrese, F. H. L. Essler, and M. Fagotti, “Quantum quench in the transverse-field Ising chain,” Phys. Rev. Lett. 106
2011
Cited alongside, same era.
J. Simon, W. S. Bakr, R. Ma, M. E. Tai, P. M. Preiss, and M. Greiner, “Quantum simulation of antiferromagnetic spin chains in an optical lattice,” Nature 472
2011
Cited alongside, same era.
M. Gring, M. Kuhnert, T. Langen, T. Kitagawa, B. Rauer, M. Schreitl, I. Mazets, D. Adu Smith, E. Demler, and J. Schmiedmayer, “Relaxation and prethermalization in an isolated quantum system,” Science 337
2012
Cited alongside, same era.
S. Trotzky, Y.-A. Chen, A. Flesch, I. P. McCulloch, U. Schollwöck, J. Eisert, and I. Bloch, “Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas,” Nature Phys. 8
2012
Cited alongside, same era.
C. Gramsch and M. Rigol, “Quenches in a quasidisordered integrable lattice system: Dynamics and statistical description of observables after relaxation,” Phys. Rev. A 86
2012
Cited alongside, same era.
C. Neuenhahn and F. Marquardt, “Thermalization of interacting fermions and delocalization in Fock space,” Phys. Rev. E 85
2012
Cited alongside, same era.
E. Khatami, G. Pupillo, M. Srednicki, and M. Rigol, “Fluctuation-dissipation theorem in an isolated system of quantum dipolar bosons after a quench,” Phys. Rev. Lett. 111
2013
Cited alongside, same era.
G. P. Brandino, J.-S. Caux, and R. M. Konik, “Glimmers of a quantum KAM theorem: Insights from quantum quenches in one-dimensional Bose gases,” Phys. Rev. X 5
2015
Later among the works it cites.
A. Khodja, R. Steinigeweg, and J. Gemmer, “Relevance of the eigenstate thermalization hypothesis for thermal relaxation,” Phys. Rev. E 91
2015
Later among the works it cites.
W. Beugeling, R. Moessner, and M. Haque, “Off-diagonal matrix elements of local operators in many-body quantum systems,” Phys. Rev. E 91
2015
Later among the works it cites.
K. R. Fratus and M. Srednicki, “Eigenstate thermalization in systems with spontaneously broken symmetry,” Phys. Rev. E 92
2015
Later among the works it cites.
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
2016
Later among the works it cites.
G. Clos, D. Porras, U. Warring, and T. Schaetz, “Time-resolved observation of thermalization in an isolated quantum system,” Phys. Rev. Lett. 117
2016
Later among the works it cites.
J. Y. Choi, S. Hild, J. Zeiher, P. Schauss, A. Rubio-Abadal, T. Yefsah, V. Khemani, D. A. Huse, I. Bloch, and C. Gross, “Exploring the many-body localization transition in two dimensions,” Science 352
2016
Later among the works it cites.
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,” Nature Phys. 12
2016
Later among the works it cites.
C. Neill, P. Roushan, M. Fang, Y. Chen, M. Kolodrubetz, Z. Chen, A. Megrant, R. Barends, B. Campbell, B. Chiaro, A. Dunsworth, E. Jeffrey, J. Kelly, J. Mutus, P. J. J. O’Malley, C. Quintana, D. Sank, A. Vainsencher, J. Wenner, T. C. White, A. Polkovnikov, and J. M. Martinis, “Ergodic dynamics and thermalization in an isolated quantum system,” Nature Phys. 12
2016
Later among the works it cites.
M Rigol, “Fundamental asymmetry in quenches between integrable and nonintegrable systems,” Phys. Rev. Lett. 116
2016
Later among the works it cites.
L. D’Alessio, Y. Kafri, A. Polkovnikov, and M. Rigol, “From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics,” Adv. Phys. 65
2016
Later among the works it cites.
R. Mondaini, K. R. Fratus, M. Srednicki, and M. Rigol, “Eigenstate thermalization in the two-dimensional transverse field Ising model,” Phys. Rev. E 93
2016
Later among the works it cites.
D. J. Luitz, “Long tail distributions near the many-body localization transition,” Phys. Rev. B 93
2016
Later among the works it cites.
D. J. Luitz and Y. Bar Lev, “Anomalous thermalization in ergodic systems,” Phys. Rev. Lett. 117
2016
Later among the works it cites.
B. N. Balz and P. Reimann, “Typical relaxation of isolated many-body systems which do not thermalize,” Phys. Rev. Lett. 118
2017
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