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Open Quantum Systems Decoherence

A Nonlinear Master Equation for Open Quantum Systems

arXiv
Authors: Roumen Tsekov

Year

2020

Paper ID

20027

Status

Preprint

Abstract Read

~2 min

Abstract Words

93

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • A nonlinear master equation is derived, reflecting properly the entropy of open quantum systems.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2010.06381 [2] arXiv https://arxiv.org/abs/2010.06381 [3] Publisher https://arxiv.org/abs/2010.06381

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