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Thermalization universality-class transition induced by Anderson localization

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Title
Thermalization universality-class transition induced by Anderson localization
Author(s)
Weihua Zhang; Gabriel M. Lando; Barbara Dietz; Sergej Flach
Publication Date
2024-03
Journal
Physical Review Research, v.6, no.1
Publisher
AMER PHYSICAL SOC
Abstract
We study the disorder-induced crossover between the two recently discovered thermalization slowing-down universality classes, characterized by long- and short-range coupling, in classical unitary-circuit maps close to integrability. We compute Lyapunov spectra, which display qualitatively distinct features depending on whether the proximity to the integrable limit is short or long range. For sufficiently small nonlinearity, translationally invariant systems fall into the long-range class. Adding disorder to such a system triggers a transition to the short-range class, implying a breaking of this invariance, and in the very limit of vanishing nonlinearity Anderson localization emerges. The crossover from the long- to the short-range class is attained by tuning the localization length ζ from ζ≈N to ζ≪N, where N is the system size. As a consequence, the Lyapunov spectrum becomes exponentially suppressed, depending on the extent to which its translational invariance is destroyed. We expect that this disorder-induced crossover will lead to prethermalized phases and, following quantization, to many-body localization. © 2024 authors. Published by the American Physical Society.
URI
https://pr.ibs.re.kr/handle/8788114/15062
DOI
10.1103/PhysRevResearch.6.L012064
ISSN
2643-1564
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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