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Origin of loose bound of the thermodynamic uncertainty relation in a dissipative two-level quantum system

2021/08/31 by Davinder Singh, Changbong Hyeon
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Coherence (philosophical gambling strategy) #Dissipation #Dissipative system #Mathematical analysis #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum mechanics #Quantum system #Spectroscopy and Quantum Chemical Studies #Statistical physics #Theoretical physics #Upper and lower bounds #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1103/physreve.104.054115

published as Phys. Rev. E. (2021) 104, 054115 · 11 pages, 4 figures

arxiv created 2021/11/02 · openalex publication_date 2021/11/16 · arxiv updated 2022/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Thermodynamic uncertainty relations (TURs), originally discovered for classical systems, dictate the tradeoff between dissipation and fluctuations of irreversible current, specifying a minimal bound that constrains the two quantities. In a series of efforts to extend the relation to the one under more generalized conditions, it has been noticed that the bound is less tight in open quantum processes. To study the origin of the loose bounds, we consider an external field-driven transition dynamics of a two-level quantum system weakly coupled to the bosonic bath as a model of an open quantum system. The model makes it explicit that the imaginary part of quantum coherence, which contributes to dissipation to the environment, is responsible for loosening the TUR bound by suppressing the relative fluctuations in the irreversible current of transitions, whereas the real part of the coherence tightens it. Our study offers a better understanding of how quantum nature affects the TUR bound.

Citations