Laser Physics

A Heisenberg equation-of-motion derivation of stochastic Schrödinger equations for non-markovian open systems

James D. Cresser

Published Jan 1, 2000• 13 citations

Abstract

A method is presented by which the stochastic Schrodinger equation can be derived for systems coupled to a reservoir in cases in which the system-reservoir interaction is non-Markovian, and under the condition that the initial system reservoir state is decorrelated. The method is based on a Heisenberg equation of motion approach applied in conjunction with a technique of dealing with system-reservoir interactions introduced by Mollow in his treatment of the AC Stark effect. The general Diosi-Strunz stochastic Schrodinger equation is regained, but the method developed here offers a different perspective on obtaining the final form of this equation for specific applications. The method is illustrated for a damped two level atom, a driven damped harmonic oscillator, and quantum Brownian motion.

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