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We develop a universal approximation for the Renyi entropies of a pure state at late times in a non-integrable many-body system, which macroscopically resembles an equilibrium density matrix.
1903
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1908
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A. Almheiri, R. Mahajan and J. Maldacena, “Islands outside the horizon,” [arXiv:1910.11077 [hep-th]]
1910
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1911
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1911
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1911
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1911
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R. Bousso and M. Tomasevic, “Unitarity From a Smooth Horizon?”, [arXiv:1911.06305 [hep-th]]
1911
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1911
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1912
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1912
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Y. Chen, “Pulling Out the Island with Modular Flow,” [JHEP 03
1912
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1912
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G. ’t Hooft, “A Planar Diagram Theory for Strong Interactions,” Nucl. Phys. B 72
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S. W. Hawking, “Particle Creation by Black Holes,” Commun. Math. Phys. 43
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S. W. Hawking, “Breakdown of Predictability in Gravitational Collapse,” Phys. Rev. D 14
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E. Lubkin, “Entropy of an n‐system from its correlation with a k‐reservoir,” J. Math. Phys
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S. Lloyd and H. Pagels, “Complexity as Thermodynamic Depth,” Ann. Phys. (N.Y.)
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D. N. Page, “Average entropy of a subsystem,” Phys. Rev. Lett. 71
1993
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D. N. Page, “Information in black hole radiation,” Phys. Rev. Lett
1993
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M. Sredniki, “Chaos and Quantum Thermalization,” Phys. Rev. E 50
1994
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Rodica Simion, “Noncrossing partitions,” Discrete Mathematics 217
2000
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2002
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2007
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2007
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2007
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2002
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2002
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2003
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2003
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2003
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2004
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2007
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2007
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2007
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F. Yano and H. Yoshida, “Some set partition statistics in non-crossing partitions and generating functions,” Discrete Math. 307 (2007) 3147
2007
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2011
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2015
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2017
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M. Mezei and D. Stanford, “On entanglement spreading in chaotic systems,” JHEP 05
2017
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A. Nahum, S. Vijay and J. Haah, “Operator Spreading in Random Unitary Circuits,” Phys. Rev. X 8
2018
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2018
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2018
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2019
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T. C. Lu and T. Grover, “Renyi Entropy of Chaotic Eigenstates,” Phys. Rev. E 99
2019
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2019
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J. Maldacena, “Black holes and quantum information,” Nature Rev. Phys. 2
2020
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J. M. Deutsch, “Quantum statistical mechanics in a closed system,” Phys. Rev. A 43
2046
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