Limitations of strong coupling in non-Markovian quantum thermometry

Fuente: arXiv
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Main Authors: Tan, Qing-Shou, Liu, Yang, Liu, Xulin, Chen, Hao, Xiao, Xing, Wu, Wei
Format: Preprint
Published: 2025
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author Tan, Qing-Shou
Liu, Yang
Liu, Xulin
Chen, Hao
Xiao, Xing
Wu, Wei
author_facet Tan, Qing-Shou
Liu, Yang
Liu, Xulin
Chen, Hao
Xiao, Xing
Wu, Wei
contents We investigate quantum thermometry using a single-qubit probe embedded in a non-Markovian environment, employing the numerically exact hierarchical equations of motion (HEOM) to overcome the limitations of Born-Markov approximations. Through a systematic analysis of the dynamical and steady-state behavior of the quantum signal-to-noise ratio (QSNR) for temperature estimation, we identify several key findings that challenge the conventional expectation that strong coupling necessarily enhances thermometric performance. In non-equilibrium dynamical thermometry, weak system-environment coupling generally yields the optimal QSNR, whereas in the steady-state regime, strong coupling enhances sensitivity only in the ultra-low-temperature limit, while weak coupling significantly improves precision at moderately low temperatures. To optimize performance across coupling regimes, we develop a hybrid computational framework that integrates HEOM with quantum-enhanced particle swarm optimization, enabling precise quantum dynamical control under varying coupling strengths. Our results reveal fundamental constraints and opportunities in quantum thermometry, offering practical strategies for the design of high-performance quantum thermometers operating in realistic open quantum systems.
format Preprint
id arxiv_https___arxiv_org_abs_2510_01596
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Limitations of strong coupling in non-Markovian quantum thermometry
Tan, Qing-Shou
Liu, Yang
Liu, Xulin
Chen, Hao
Xiao, Xing
Wu, Wei
Quantum Physics
We investigate quantum thermometry using a single-qubit probe embedded in a non-Markovian environment, employing the numerically exact hierarchical equations of motion (HEOM) to overcome the limitations of Born-Markov approximations. Through a systematic analysis of the dynamical and steady-state behavior of the quantum signal-to-noise ratio (QSNR) for temperature estimation, we identify several key findings that challenge the conventional expectation that strong coupling necessarily enhances thermometric performance. In non-equilibrium dynamical thermometry, weak system-environment coupling generally yields the optimal QSNR, whereas in the steady-state regime, strong coupling enhances sensitivity only in the ultra-low-temperature limit, while weak coupling significantly improves precision at moderately low temperatures. To optimize performance across coupling regimes, we develop a hybrid computational framework that integrates HEOM with quantum-enhanced particle swarm optimization, enabling precise quantum dynamical control under varying coupling strengths. Our results reveal fundamental constraints and opportunities in quantum thermometry, offering practical strategies for the design of high-performance quantum thermometers operating in realistic open quantum systems.
title Limitations of strong coupling in non-Markovian quantum thermometry
topic Quantum Physics
url https://arxiv.org/abs/2510.01596