Canonical Universality
Statistical Mechanics
2019-01-09 v2 Strongly Correlated Electrons
High Energy Physics - Theory
Quantum Physics
Abstract
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. Integrable and MBL systems do not satisfy CU. We provide theoretical and numerical evidence supporting the CU hypothesis.
Cite
@article{arxiv.1702.07722,
title = {Canonical Universality},
author = {Anatoly Dymarsky and Hong Liu},
journal= {arXiv preprint arXiv:1702.07722},
year = {2019}
}
Comments
10 pages, 15 figures, v2: behavior of \gamma(x) in the thermodynamic limit is clarified