From quantum theory to classical dynamics under spontaneous wave-packet reduction
Quantum Physics
2007-05-23 v2 Statistical Mechanics
Abstract
A quantum master equation of the Lindblad form is obtained in this paper by considering the spontaneous wave-packet reduction. Different classical equations can be derived after exactly mapping such a quantum master equation to a continuous time random walk (CTRW). Although this CTRW is a quasiclassical walk, the effects due to the quantum interference can still be important in such a walk. Macroscopically, we shall consider the uncertainty of the potential and determine the effective transition probability by a family of Schr\"{o}dinger equations (or operators).
Cite
@article{arxiv.quant-ph/0305146,
title = {From quantum theory to classical dynamics under spontaneous wave-packet reduction},
author = {C. F. Huang},
journal= {arXiv preprint arXiv:quant-ph/0305146},
year = {2007}
}
Comments
Relevant topics such as quantum trajectories and a localization model are discussed in the revised manuscript