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Quantum Statistical Mechanics. II. Stochastic Schrodinger Equation

arXiv:1401.1787

Abstract

The stochastic dissipative Schrodinger equation is derived for an open quantum system consisting of a sub-system able to exchange energy with a thermal reservoir. The resultant evolution of the wave function also gives the evolution of the density matrix, which is an explicit, stochastic form of the Lindblad master equation. A quantum fluctuation-dissipation theorem is also derived. The time correlation function is discussed.

17 pages. Corrections to reversibility term, to thermodynamic force, and to relevance of stationarity condition