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arXiv · 0911.2554

Stochastic Schrödinger equations with coloured noise

A. Barchielli·C. Pellegrini·F. Petruccione
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Abstract

A natural non-Markovian extension of the theory of white noise quantum trajectories is presented. In order to introduce memory effects in the formalism an Ornstein-Uhlenbeck coloured noise is considered as the output driving process. Under certain conditions a random Hamiltonian evolution is recovered. Moreover, non-Markovian stochastic Schrödinger equations which unravel non-Markovian master equations are derived.

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A. Barchielli, C. Pellegrini, F. Petruccione. 2009-11-13. Stochastic Schrödinger equations with coloured noise. https://doi.org/10.1209/0295-5075%2F91%2F24001

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