Operator equality on entropy production in quantum Markovian master equations

2012/10/22 by Fei Liu, Liu, Fei
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.1210.5798

openalex publication_date 2012/10/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An operator equality on the entropy production for general quantum Markovian master equations is derived without resorting quantum stochastic trajectory and priori quantum definition of entropy production. We find that, the equality can be still interpreted as a consequence of time-reversal asymmetry of the nonequilibrium processes of the systems. In contrast with the classical case, however, the first order expansion of the equality does not directly related to the mean entropy production, which arises from noncommute property of operators in quantum physics.

Related

• Fully quantum stochastic entropy production
• Interplay between Standard Quantum Detailed Balance and Thermodynamically Consistent Entropy Production
• Theoretical studies on quantum pump and excess entropy production: Quantum master equation approach
• Quantum entropy production as a measure of irreversibility
• On energy exchange rate and entropy production operators in quantum fluctuation-dissipation relations