Expedited thermalization dynamics in incommensurate systems

Fuente: arXiv
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Autores principales: Xu, Mingdi, Wei, Zijun, Jiang, Xiang-Ping, Pan, Lei
Formato: Preprint
Publicado: 2025
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author Xu, Mingdi
Wei, Zijun
Jiang, Xiang-Ping
Pan, Lei
author_facet Xu, Mingdi
Wei, Zijun
Jiang, Xiang-Ping
Pan, Lei
contents We study the thermalization dynamics of a quantum system embedded in an incommensurate potential and coupled to a Markovian thermal reservoir. The dephasing induced by the bath drives the system toward an infinite-temperature steady state, erasing all initial information-including signatures of localization. We find that initially localized states can relax to the homogeneous steady state faster than delocalized states. Moreover, low-temperature initial states thermalize to infinite temperature more rapidly than high-temperature states -- a phenomenon reminiscent of the Mpemba effect, in which hotter liquids freeze faster than colder ones. The slowest relaxation mode in the Liouvillian spectrum plays a critical role in the expedited thermalization for localized or cold initial states. Our results reveal that the combination of disordered structure and environmental dissipation may lead to non-trivial thermalization behavior, which advances both the conceptual framework of the Mpemba effect and the theoretical understanding of nonequilibrium processes in dissipative disordered systems.
format Preprint
id arxiv_https___arxiv_org_abs_2505_03645
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Expedited thermalization dynamics in incommensurate systems
Xu, Mingdi
Wei, Zijun
Jiang, Xiang-Ping
Pan, Lei
Quantum Physics
Disordered Systems and Neural Networks
We study the thermalization dynamics of a quantum system embedded in an incommensurate potential and coupled to a Markovian thermal reservoir. The dephasing induced by the bath drives the system toward an infinite-temperature steady state, erasing all initial information-including signatures of localization. We find that initially localized states can relax to the homogeneous steady state faster than delocalized states. Moreover, low-temperature initial states thermalize to infinite temperature more rapidly than high-temperature states -- a phenomenon reminiscent of the Mpemba effect, in which hotter liquids freeze faster than colder ones. The slowest relaxation mode in the Liouvillian spectrum plays a critical role in the expedited thermalization for localized or cold initial states. Our results reveal that the combination of disordered structure and environmental dissipation may lead to non-trivial thermalization behavior, which advances both the conceptual framework of the Mpemba effect and the theoretical understanding of nonequilibrium processes in dissipative disordered systems.
title Expedited thermalization dynamics in incommensurate systems
topic Quantum Physics
Disordered Systems and Neural Networks
url https://arxiv.org/abs/2505.03645