From quantum theory to classical dynamics under spontaneous wave-packet reduction

Details From quantum theory to classical dynamics under spontaneous wave-packet reduction From quantum theory to classical dynamics under spontaneous wave-packet reduction

2003-05-26

arxiv.org/abs/quant-ph/0305146v2

Physics

Quantum Physics

Relevant topics such as quantum trajectories and a localization model are discussed in the revised manuscript

Scientific paper

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).

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