The nonlinear thermodynamic quantum master equation

2010/02/26 by Hans Christian Öttinger, Öttinger, Hans Christian · 3 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Spectroscopy and Quantum Chemical Studies #quant-ph

paper · pdf · doi:10.48550/arxiv.1002.5023

4 pages, 1 figure

arxiv created 2010/02/26 · openalex publication_date 2010/02/26 · arxiv updated 2010/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The quantum master equation obtained by generalizing the geometric formulation of nonequilibrium thermodynamics to dissipative quantum systems is seriously nonlinear. We argue that nonlinearity occurs naturally in the step from reversible to irreversible equations and we analyze the nature of the nonlinear contribution. The thermodynamic nonlinearity leads to proper equilibrium solutions and improves the dynamic behavior of dissipative quantum systems. We also discuss the Markovian character of the thermodynamic quantum master equation. The general ideas are illustrated for two-level systems.

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• Nonlinear thermodynamic quantum master equation: Properties and examples
• The Origin of the Inaccessible Game
• Stochastic process behind nonlinear thermodynamic quantum master equation. I. Mean-field construction

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