Entropy production along nonequilibrium quantum jump trajectories

2013/05/31 by Jordan M. Horowitz, Juan M. R. Parrondo · 3 citations
Computer Science · Physics and Astronomy · #Adiabatic process #Advanced Thermodynamics and Statistical Mechanics #Classical mechanics #Detailed balance #Entropy (arrow of time) #Entropy production #Non-equilibrium thermodynamics #Open quantum system #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum Information and Cryptography #Quantum discord #Quantum mechanics #Quantum relative entropy #Quantum thermodynamics #Statistical physics #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1088/1367-2630/15/8/085028

published as New J. Phys. 15 (2013) 085028 · 24 pages, 2 figures, fixed typos

arxiv created 2013/08/05 · openalex publication_date 2013/08/27 · arxiv updated 2015/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

For classical nonequilibrium systems, the separation of the total entropy production into the adiabatic and nonadiabatic contributions is useful for understanding irreversibility in nonequilibrium thermodynamics. In this paper, we formulate quantum analogues for driven open quantum systems describable by quantum jump trajectories by applying a quantum stochastic thermodynamics. Our main conclusions are based on a quantum formulation of the local detailed balance condition.

Citations

• Extracting Work from a Single Heat Bath via Vanishing Quantum Coherence
• A straightforward introduction to continuous quantum measurement
• Integral fluctuation theorem for the housekeeping heat
• Jarzynski equality for the transitions between nonequilibrium steady states
• Quantum operation time reversal
• Stochastic thermodynamics, fluctuation theorems and molecular machines
• Steady-State Thermodynamics of Langevin Systems
• Quantum trajectories in random environment: the statistical model for a heat bath

Cited by

• On a tilted Liouville-master equation of open quantum systems
• Equivalent Definitions of the Quantum Nonadiabatic Entropy Production
• Characterising quantum measurement through environmental stochastic entropy production in a two spin 1/2 system