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In quantum many-body systems, a Hamiltonian is called an ``extensive entropy generator'' if starting from a random product state the entanglement entropy obeys a volume law at long times with overwhelming probability.
Entropy inequalities
H. Araki and E. H. Lieb · 1970
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A continuity property of the entropy density for spin lattice systems
M. Fannes · 1973
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Proof of the strong subadditivity of quantum-mechanical entropy
E. H. Lieb and M. B. Ruskai · 1973
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A sharp continuity estimate for the von Neumann entropy
K. M. R. Audenaert · 2007
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Foundation of statistical mechanics under experimentally realistic conditions
P. Reimann · 2008
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Many-body localization in the Heisenberg X X Z XXZ magnet in a random field
M. Znidaric, T. Prosen, and P. Prelovsek · 2008
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Quantum mechanical evolution towards thermal equilibrium
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Equilibration of quantum systems and subsystems
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Quantum equilibration in finite time
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Entanglement dynamics of disordered quantum XY chains
H. Abdul-Rahman, B. Nachtergaele, R. Sims, and G. Stolz · 2016
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On many-body localization for quantum spin chains
J. Z. Imbrie · 2016
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Thermalization and return to equilibrium on finite quantum lattice systems
T. Farrelly, F. G. S. L. Brandão, and M. Cramer · 2017
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Instability of localization in translation-invariant systems
Y. Huang and A. W. Harrow · 2019
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Entanglement-ergodic quantum systems equilibrate exponentially well
H. Wilming, M. Goihl, I. Roth, and J. Eisert · 2019
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Phenomenology of fully many-body-localized systems
D. A. Huse, R. Nandkishore, and V. Oganesyan · 2014
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