The non-Markovian stochastic Schrödinger equation for the position unraveling

Details The non-Markovian stochastic Schrödinger equation for the position unraveling The non-Markovian stochastic Schrödinger equation for the position unraveling

2003-05-09

arxiv.org/abs/quant-ph/0305047v3

Journal of Optics B: Quantum and Semiclassical Optics 6, S821 (2004)

Physics

Quantum Physics

8 pages, 2 figures

Scientific paper

10.1088/1464-4266/6/8/031

An important and well established area of quantum optics is the theory of Markovian stochastic Schr\"odinger equations (or by another name quantum trajectory theory). Recently stochastic Schr\"odinger equations have been developed for non-Markovian systems. In this paper we extend the current known stochastic Schr\"odinger equations for non-Markovian systems to include the position unraveling. We also discuss and illustrate that this stochastic Schr\"odinger equation can have an interpretation under both the orthodox and the de Broglie-Bohm hidden variable interpretation of quantum mechanics. We conclude that only the de Broglie-Bohm hidden variable theory provides a continuous-in-time interpretation of the non-Markovian stochastic Schr\"odinger equation.

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