Quantum Mpemba Effect in Dissipative Spin Chains at Criticality

Fuente: arXiv
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Main Authors: Wei, Zijun, Xu, Mingdi, Jiang, Xiang-Ping, Hu, Haiping, Pan, Lei
Format: Preprint
Published: 2025
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author Wei, Zijun
Xu, Mingdi
Jiang, Xiang-Ping
Hu, Haiping
Pan, Lei
author_facet Wei, Zijun
Xu, Mingdi
Jiang, Xiang-Ping
Hu, Haiping
Pan, Lei
contents The Quantum Mpemba Effect (QME) is the quantum counterpart of the classical Mpemba effect--a counterintuitive phenomenon in which a system initially at a higher temperature relax to thermal eauilibrium faster than one at a lower temperature. In this work, we investigate the QME in one-dimensional quantum spin chains coupled to a Markovian environment. By analyzing the full relaxation dynamics governed by the Lindblad master equation, we reveal the emergence of a strong quantum Mpemba effect at quantum critical points. Our findings reveal that criticality enhances the non-monotonic dependence of relaxation times on the initial temperature, leading to anomalously accelerated equilibration. This phenomenon is directly linked to the structure of the Liouvillian spectrum at criticality and the associated overlaps with the initial states. These findings demonstrate that quantum phase transitions could provide a natural setting for realizing and enhancing non-equilibrium phenomena in open quantum systems.
format Preprint
id arxiv_https___arxiv_org_abs_2508_18906
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum Mpemba Effect in Dissipative Spin Chains at Criticality
Wei, Zijun
Xu, Mingdi
Jiang, Xiang-Ping
Hu, Haiping
Pan, Lei
Quantum Physics
Quantum Gases
Statistical Mechanics
The Quantum Mpemba Effect (QME) is the quantum counterpart of the classical Mpemba effect--a counterintuitive phenomenon in which a system initially at a higher temperature relax to thermal eauilibrium faster than one at a lower temperature. In this work, we investigate the QME in one-dimensional quantum spin chains coupled to a Markovian environment. By analyzing the full relaxation dynamics governed by the Lindblad master equation, we reveal the emergence of a strong quantum Mpemba effect at quantum critical points. Our findings reveal that criticality enhances the non-monotonic dependence of relaxation times on the initial temperature, leading to anomalously accelerated equilibration. This phenomenon is directly linked to the structure of the Liouvillian spectrum at criticality and the associated overlaps with the initial states. These findings demonstrate that quantum phase transitions could provide a natural setting for realizing and enhancing non-equilibrium phenomena in open quantum systems.
title Quantum Mpemba Effect in Dissipative Spin Chains at Criticality
topic Quantum Physics
Quantum Gases
Statistical Mechanics
url https://arxiv.org/abs/2508.18906