A Nonlinear Master Equation for Open Quantum Systems

• URL: http://arxiv.org/abs/2010.06381v8
• Date: Fri, 5 Feb 2021 06:41:28 GMT
• Title: A Nonlinear Master Equation for Open Quantum Systems
• Authors: Roumen Tsekov
• Abstract summary: A nonlinear master equation is derived, reflecting properly the entropy of open quantum systems. The corresponding nonlinear equation for the Wigner function accounts rigorously for the thermo-quantum entropy.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A nonlinear master equation is derived, reflecting properly the entropy of open quantum systems. In contrast to linear alternatives, its equilibrium solution is exactly the canonical Gibbs density matrix. The corresponding nonlinear equation for the Wigner function accounts rigorously for the thermo-quantum entropy. It reduces at large friction to the Smoluchowski-Bohm equation in the coordinate subspace, which reflects the stochastic Langevin-Bohm dynamics. The previously derived Maxwell-Heisenberg relation for the nonequilibrium momentum dispersion of quantum Brownian particles is confirmed as well as the related quantum generalization of the classical Einstein law of Brownian motion.

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