Rigorous and simple results on very slow thermalization, or quasi-localization, of the disordered quantum chain

Wojciech De Roeck, François Huveneers, Branko Meeus and A. Oskar Prośniak

Physica A: Statistical Mechanics and its Applications, 2023, vol. 631, issue C

Abstract: This paper originates from lectures delivered at the summer school “Fundamental Problems in Statistical Physics XV” in Bruneck, Italy, in 2021. We give a brief and limited introduction into ergodicity-breaking induced by disorder. As the title suggests, we include a simple yet rigorous and original result: For a strongly disordered quantum chain, we exhibit a full set of quasi-local quantities whose dynamics is negligible up to times of order exp{c(logW)2−ϵ}, with ϵ<1, c a numerical constant, and W the disorder strength. Such a result, that is often referred to as “quasi-localization”, can in principle be obtained in other systems as well, but for a disordered quantum chain, its proof is relatively short and transparent.

Keywords: Quantum many-body systems; Ergodicity-breaking; Thermalization (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:631:y:2023:i:c:s0378437123008002

DOI: 10.1016/j.physa.2023.129245

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