Showing papers by "James D. Cresser published in 2000"
Journal Article•
TL;DR: In this article, the stochastic Schrodinger equation is 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.
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.
15 citations