Built on

S. Molchanov, L. Pastur, and A. Khorunzhii, “Limiting eigenvalue distribution for band random matrices,” Theoretical and Mathematical Physics 90, no. 2 (1992): 108-118
1992
Earlier work this paper cites.
Srednicki, “Chaos and quantum thermalization,” Physical Review E 50, no. 2 (1994): 888
1994
Earlier work this paper cites.
M. Srednicki, “The approach to thermal equilibrium in quantized chaotic systems,” Journal of Physics A: Mathematical and General 32.7 (1999): 1163
1999
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.

Similar

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
Cited alongside, same era.
E. Khatami, G. Pupillo, M. Srednicki, M. Rigol, “Fluctuation-Dissipation Theorem in an Isolated System of Quantum Dipolar Bosons after a Quench,” Phys. Rev. Lett. 111, 050403 (2013), [arXiv:1304.7279]
Original
2013
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H. Kim, T. Ikeda, D. Huse, “Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis,” Phys. Rev. E 90, 052105 (2014), [arXiv:1408.0535]
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2014
Cited alongside, same era.
W. Beugeling, R. Moessner, and M. Haque, “Finite-size scaling of eigenstate thermalization,” Phys. Rev. E 89, 042112 (2014), [arXiv:1308.2862]
Original
2014
Cited alongside, same era.

Then

L. D’Alessio, Y. Kafri, A. Polkovnikov, M. Rigol, “From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics,” Adv. Phys. 65, 239 (2016), [arXiv:1509.06411]
Original
2016
Later among the works it cites.
A. Dymarsky, “Convexity of a Small Ball Under Quadratic Map,” Linear Algebra and Its Applications, Volume 488, (2016), p. 109–123, [arXiv:1410.1553]
Original
2016
Later among the works it cites.
D. Luitz, Y. Bar Lev, “Anomalous thermalization in ergodic systems,” Phys. Rev. Lett. 117, 170404 (2016), [arXiv:1607.01012]
Original
2016
Later among the works it cites.
W. Beugeling, R. Moessner, M. Haque, “Off-diagonal matrix elements of local operators in many-body quantum systems,” Phys. Rev. E 91, 012144 (2015), [arXiv:1407.2043]
Original
2043
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2017

Canonical Universality

Dymarsky, Anatoly, Liu, Hong

Understand

Isolated quantum system in a pure state may be perceived as thermal if only substantially small fraction of all degrees of freedom is probed.

We propose that in a chaotic quantum many-body system all states with sufficiently small energy fluctuations are approximately thermal.
We refer to this hypothesis as Canonical Universality (CU).
The CU hypothesis complements the Eigenstate Thermalization Hypothesis (ETH) which proposes that for chaotic systems individual energy eigenstates are thermal.

Built on

S. Molchanov, L. Pastur, and A. Khorunzhii, “Limiting eigenvalue distribution for band random matrices,” Theoretical and Mathematical Physics 90, no. 2 (1992): 108-118
1992
Earlier work this paper cites.
Srednicki, “Chaos and quantum thermalization,” Physical Review E 50, no. 2 (1994): 888
1994
Earlier work this paper cites.
M. Srednicki, “The approach to thermal equilibrium in quantized chaotic systems,” Journal of Physics A: Mathematical and General 32.7 (1999): 1163
1999
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.

Similar

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
Cited alongside, same era.
E. Khatami, G. Pupillo, M. Srednicki, M. Rigol, “Fluctuation-Dissipation Theorem in an Isolated System of Quantum Dipolar Bosons after a Quench,” Phys. Rev. Lett. 111, 050403 (2013), [arXiv:1304.7279]
Original
2013
Cited alongside, same era.
H. Kim, T. Ikeda, D. Huse, “Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis,” Phys. Rev. E 90, 052105 (2014), [arXiv:1408.0535]
Original
2014
Cited alongside, same era.
W. Beugeling, R. Moessner, and M. Haque, “Finite-size scaling of eigenstate thermalization,” Phys. Rev. E 89, 042112 (2014), [arXiv:1308.2862]
Original
2014
Cited alongside, same era.

Then

L. D’Alessio, Y. Kafri, A. Polkovnikov, M. Rigol, “From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics,” Adv. Phys. 65, 239 (2016), [arXiv:1509.06411]
Original
2016
Later among the works it cites.
A. Dymarsky, “Convexity of a Small Ball Under Quadratic Map,” Linear Algebra and Its Applications, Volume 488, (2016), p. 109–123, [arXiv:1410.1553]
Original
2016
Later among the works it cites.
D. Luitz, Y. Bar Lev, “Anomalous thermalization in ergodic systems,” Phys. Rev. Lett. 117, 170404 (2016), [arXiv:1607.01012]
Original
2016
Later among the works it cites.
W. Beugeling, R. Moessner, M. Haque, “Off-diagonal matrix elements of local operators in many-body quantum systems,” Phys. Rev. E 91, 012144 (2015), [arXiv:1407.2043]
Original
2043
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

S. Goldstein, D. Huse, J. Lebowitz, R. Tumulka, “Thermal equilibrium of a macroscopic quantum system in a pure state,” Physical Review Letters. 2015 Sep. 4;115(10):100402, [arXiv:1506.07494]

Original

2015

Cited alongside, same era.

S. Goldstein, D. Huse, J. Lebowitz, R. Tumulka, “Macroscopic and Microscopic Thermal Equilibrium,” [arXiv:1610.02312]

Original

Cited in the paper.

A. Dymarsky, N. Lashkari, H. Liu, “Subsystem ETH”, [arXiv:1611.08764]

Original

Cited in the paper.

J. Deutsch, “Quantum statistical mechanics in a closed system,” Physical Review A 43, no. 4 (1991): 2046

2046

Closest in time.