Built on

Srednicki, “Chaos and quantum thermalization,” Physical Review E 50, no. 2 (1994): 888
1994
Earlier work this paper cites.
H. Tasaki, “From quantum dynamics to the canonical distribution: general picture and a rigorous example,” Physical review letters 80, no. 7 (1998): 1373, [arXiv:cond-mat/9707253]
1998
Earlier work this paper cites.
M. Srednicki, “The approach to thermal equilibrium in quantized chaotic systems,” Journal of Physics A: Mathematical and General 32.7 (1999): 1163
1999
Earlier work this paper cites.
J. Gemmer, A. Otte, and G. Mahler, “Quantum Approach to a Derivation of the Second Law of Thermodynamics,” Phys. Rev. Lett. 86,1927 (2001), [arXiv:quant-ph/0101140]
2001
Earlier work this paper cites.
S. Goldstein, J. Lebowitz, R. Tumulka, and N. Zanghi, “Canonical typicality,” Physical review letters 96, no. 5 (2006): 050403, [arXiv:cond-mat/0511091]
2006
Earlier work this paper cites.
S. Popescu, A. Short , A. Winter, “Entanglement and the foundations of statistical mechanics,” Nature Physics, (2006): 2(11), 754-758, [arXiv:quant-ph/0511225]
2006
Earlier work this paper cites.
M. Rigol, V. Dunjko, and M. Olshanii, “Thermalization and its mechanism for generic isolated quantum systems,” Nature, (2008): 452(7189), 854-858, [arXiv:0708.1324]
Original
2008
Earlier work this paper cites.

Similar

Nevertheless some general statements about an approach to the equilibrium can be made, see P. Reimann, “Foundation of Statistical Mechanics under Experimentally Realistic Conditions,” Phys. Rev. Lett. 101, 190403 (2008), [arXiv:0810.3092], N. Linden, S. Popescu, A. Short, and A. Winter, “Quantum mechanical evolution towards thermal equilibrium,” Physical Review E 79, no. 6 (2009): 061103, [arXiv:0812.2385], N. Linden, S. Popescu, A. J. Short, and A. Winter, “On the speed of fluctuations around thermodynamic equilibrium,” New J. Phys. 12, 055021 (2010), [arXiv:0907.1267], S. Goldstein, J. Lebowitz, C. Mastrodonato, R. Tumulka, and N. Zanghi, “Approach to thermal equilibrium of macroscopic quantum systems,” Physical Review E, 81(1), (2010): 011109, [arXiv:0911.1724]
Original
2010
Cited alongside, same era.
J. Deutsch, “Thermodynamic entropy of a many-body energy eigenstate,” New Journal of Physics 12, no. 7 (2010): 075021, [arXiv:0911.0056]
Original
2010
Cited alongside, same era.
R. Haag, “Local quantum physics: Fields, particles, algebras,” Springer Science & \& Business Media, (2012)
2012
Cited alongside, same era.
Ferraro, Alessandro and García-Saez, Artur and Acín, Antonio, “Intensive temperature and quantum correlations for refined quantum measurements”, EPL (Europhysics Letters), v. 98, 1

Then

H. Kim, T. Ikeda, and D. Huse, “Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis,” Physical Review E, (2014): 90(5), 052105, [arXiv:1408.0535]
Original
2014
Later among the works it cites.
G. De Palma, A. Serafini, V. Giovannetti, M. Cramer, “Necessity of Eigenstate Thermalization,” Phys. Rev. Lett. 115, 220401 (2015), [arXiv:1506.07265]
Original
2015
Later among the works it cites.
H. Lai and K. Yang, “Entanglement entropy scaling laws and eigenstate typicality in free fermion systems,” Physical Review B, 91(8), p.081110 (2015)
2015
Later among the works it cites.
S. Hernández-Santana, A. Riera, K. Hovhannisyan, M. Perarnau-Llobet, L. Tagliacozzo, A. Acín “Locality of temperature in spin chains,” New J. Phys. 17, 085007 (2015)
2015
Later among the works it cites.
D. Luitz, “Long tail distributions near the many-body localization transition.” Physical Review B, 93(13), p.134201, (2016) [arXiv:1601.04058]

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2016

Subsystem ETH

Dymarsky, Anatoly, Lashkari, Nima, Liu, Hong

Understand

Motivated by the qualitative picture of Canonical Typicality, we propose a refined formulation of the Eigenstate Thermalization Hypothesis (ETH) for chaotic quantum systems.

The new formulation, which we refer to as subsystem ETH, is in terms of the reduced density matrix of subsystems.
This strong form of ETH outlines the set of observables defined within the subsystem for which it guarantees eigenstate thermalization.
We discuss the limits when the size of the subsystem is small or comparable to its complement.

Built on

Srednicki, “Chaos and quantum thermalization,” Physical Review E 50, no. 2 (1994): 888
1994
Earlier work this paper cites.
H. Tasaki, “From quantum dynamics to the canonical distribution: general picture and a rigorous example,” Physical review letters 80, no. 7 (1998): 1373, [arXiv:cond-mat/9707253]
1998
Earlier work this paper cites.
M. Srednicki, “The approach to thermal equilibrium in quantized chaotic systems,” Journal of Physics A: Mathematical and General 32.7 (1999): 1163
1999
Earlier work this paper cites.
J. Gemmer, A. Otte, and G. Mahler, “Quantum Approach to a Derivation of the Second Law of Thermodynamics,” Phys. Rev. Lett. 86,1927 (2001), [arXiv:quant-ph/0101140]
2001
Earlier work this paper cites.
S. Goldstein, J. Lebowitz, R. Tumulka, and N. Zanghi, “Canonical typicality,” Physical review letters 96, no. 5 (2006): 050403, [arXiv:cond-mat/0511091]
2006
Earlier work this paper cites.
S. Popescu, A. Short , A. Winter, “Entanglement and the foundations of statistical mechanics,” Nature Physics, (2006): 2(11), 754-758, [arXiv:quant-ph/0511225]
2006
Earlier work this paper cites.
M. Rigol, V. Dunjko, and M. Olshanii, “Thermalization and its mechanism for generic isolated quantum systems,” Nature, (2008): 452(7189), 854-858, [arXiv:0708.1324]
Original
2008
Earlier work this paper cites.