Quantum thermodynamics in a rotating BTZ black hole spacetime

Fuente: arXiv
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Auteurs principaux: Chen, Wenjing, Ma, Yixuan, Han, Si-Wei, Wang, Zihao, Feng, Jun
Format: Preprint
Publié: 2025
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author Chen, Wenjing
Ma, Yixuan
Han, Si-Wei
Wang, Zihao
Feng, Jun
author_facet Chen, Wenjing
Ma, Yixuan
Han, Si-Wei
Wang, Zihao
Feng, Jun
contents We address the problem of the thermalization process for an Unruh-DeWitt (UDW) detector outside a BTZ black hole, from a perspective of quantum thermodynamics. In the context of an open quantum system, we derive the complete dynamics of the detector, which encodes a complicated response to scalar background fields. Using various information theory tools, such as quantum relative entropy, quantum heat, coherence, quantum Fisher information, and quantum speed of evolution, we examined three quantum thermodynamic laws for the UDW detector, where the influences from BTZ angular momentum and Hawking radiation are investigated. In particular, based on information geometry theory, we find an intrinsic asymmetry in the detector's thermolization process as it undergoes Hawking radiation from the BTZ black hole. In particular, we find that the detector consistently heats faster than it cools, analogous to the quantum Mpemba effect for nonequilibrium systems. Moreover, we demonstrate that the spin of a black hole significantly influences the magnitude of the asymmetry, while preserving the dominance of heating over cooling.
format Preprint
id arxiv_https___arxiv_org_abs_2507_16787
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum thermodynamics in a rotating BTZ black hole spacetime
Chen, Wenjing
Ma, Yixuan
Han, Si-Wei
Wang, Zihao
Feng, Jun
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Quantum Physics
We address the problem of the thermalization process for an Unruh-DeWitt (UDW) detector outside a BTZ black hole, from a perspective of quantum thermodynamics. In the context of an open quantum system, we derive the complete dynamics of the detector, which encodes a complicated response to scalar background fields. Using various information theory tools, such as quantum relative entropy, quantum heat, coherence, quantum Fisher information, and quantum speed of evolution, we examined three quantum thermodynamic laws for the UDW detector, where the influences from BTZ angular momentum and Hawking radiation are investigated. In particular, based on information geometry theory, we find an intrinsic asymmetry in the detector's thermolization process as it undergoes Hawking radiation from the BTZ black hole. In particular, we find that the detector consistently heats faster than it cools, analogous to the quantum Mpemba effect for nonequilibrium systems. Moreover, we demonstrate that the spin of a black hole significantly influences the magnitude of the asymmetry, while preserving the dominance of heating over cooling.
title Quantum thermodynamics in a rotating BTZ black hole spacetime
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
Quantum Physics
url https://arxiv.org/abs/2507.16787