English

The nonlinear thermodynamic quantum master equation

Quantum Physics 2010-03-01 v1

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.

Keywords

Cite

@article{arxiv.1002.5023,
  title  = {The nonlinear thermodynamic quantum master equation},
  author = {Hans Christian Öttinger},
  journal= {arXiv preprint arXiv:1002.5023},
  year   = {2010}
}

Comments

4 pages, 1 figure

R2 v1 2026-06-21T14:51:41.030Z