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Thermodynamic meaning of local temperature of nonequilibrium open quantum systems

2016/08/28 by LvZhou Ye, Xiao Zheng, YiJing Yan +1 · 21 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Non-equilibrium thermodynamics #Observable #Perturbation (astronomy) #Physical system #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Quantum system #Statistical physics #Theoretical physics #Thermal equilibrium #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.94.245105

published in Physical review. B./Physical review. B 94(24) (American Physical Society) · 15 pages, 5 figures

arxiv created 2016/08/28 · openalex publication_date 2016/12/02 · arxiv updated 2016/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Measuring the local temperature of nanoscale systems out of equilibrium has emerged as a new tool to study local heating effects and other local thermal properties of systems driven by external fields. Although various experimental protocols and theoretical definitions have been proposed to determine the local temperature, the thermodynamic meaning of the measured or defined quantities remains unclear. By performing analytical and numerical analysis of bias-driven quantum dot systems both in the noninteracting and strongly-correlated regimes, we elucidate the underlying physical meaning of local temperature as determined by two definitions: the zero-current condition that is widely used but not measurable and the minimal-perturbation condition that is experimentally realizable. We show that, unlike the zero-current condition, the local temperature determined by the minimal-perturbation protocol establishes a quantitative correspondence between the nonequilibrium system of interest and a reference equilibrium system, provided the probed system observable and the related electronic excitations are fully local. The quantitative correspondence thus allows the well-established thermodynamic concept to be extended to nonequilibrium situations.

Citations