We consider the dynamics of a quantum system immersed in a dilute gas at thermodynamics equilibrium using a quantum Markovian master equation derived by applying the low-density limit technique. It is shown that the Gibbs state at the bath temperature is always stationary while the detailed balance condition at this state can be violated beyond the Born approximation. This violation is generically related to the absence of time-reversal symmetry for the scattering T-matrix, which produces a thermalization mechanism that allows the presence of persistent probability and heat currents at thermal equilibrium. This phenomenon is illustrated by a model of an electron hopping between three quantum dots in an external magnetic field.
Broken Detailed Balance and Entropy Production in CPTP Quantum Brownian Motion
Università degli Studi di Palermo（巴勒莫大学）；Università degli Studi di Trieste（的里雅斯特大学）；Istituto Nazionale di Fisica Nucleare（意大利国家核物理研究所）；Queen’s University Belfast（贝尔法斯特女王大学）
Interplay between Standard Quantum Detailed Balance and Thermodynamically Consistent Entropy Production
The University of Tokyo（东京大学）；RIKEN Hakubi Research Team, Pioneering Research Institute (PRI), RIKEN（理化学研究所前沿研究机构（PRI）Hakubi研究团队）；Universal Biology Institute, The University of Tokyo（东京大学全球生物学研究院）；Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto University（京都大学汤川理论物理研究所引力物理与量子信息研究中心）；Department of Physics, Graduate School of Science, The University of Tokyo（东京大学理学研究科物理学系）
On entropy production of repeated quantum measurements III. Quantum detailed balance
Univ Toulouse, INUC, UT2J, INSA Toulouse, TSECNRS, IMT（图卢兹大学）；Université Paris Cité and Sorbonne Université, CNRSLaboratoire de Probabilités, Statistique et Modélisation（巴黎西岱大学和索邦大学）；Dipartimento di Matematica, Politecnico di Milano（米兰理工大学数学系）；Université de Toulon, CNRS, CPT, UMR 7332（土伦大学）；Aix-Marseille Univ, CNRS, CPT, UMR 7332（艾克斯-马赛大学）
