The Non-Markovian stochastic Schrödinger equation for the position unravelling

Abstract

An important and well established area of quantum optics is the theory of Markovian stochastic Schr椩nger equations (or by another name quantum trajectory theory). Recently stochastic Schr椩nger equations have been developed for non-Markovian systems. In this paper we extend the current known stochastic Schr椩nger equations for non-Markovian systems to include the position unravelling. We also discuss and illustrate that this stochastic Schr椩nger 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椩nger equation.