Expedited thermalization dynamics in incommensurate systems

• URL: http://arxiv.org/abs/2505.03645v2
• Date: Sun, 25 May 2025 14:48:23 GMT
• Title: Expedited thermalization dynamics in incommensurate systems
• Authors: Mingdi Xu, Zijun Wei, Xiang-Ping Jiang, Lei Pan,
• Abstract summary: We study the thermalization dynamics of a quantum system embedded in an incommensurate potential and coupled to a Markovian thermal reservoir.<n>We find that initially localized states can relax to the homogeneous steady state faster than delocalized states.
• Score: 4.106350459637523
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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