Stochastic Schrödinger equations and memory

Details Stochastic Schrödinger equations and memory Stochastic Schrödinger equations and memory

2010-06-18

arxiv.org/abs/1006.3647v1

QP-PQ series 27 (2011)52-67

Physics

Quantum Physics

18 pages

Scientific paper

By starting from the stochastic Schr\"odinger equation and quantum trajectory theory, we introduce memory effects by considering stochastic adapted coefficients. As an example of a natural non-Markovian extension of the theory of white noise quantum trajectories we use an Ornstein-Uhlenbeck coloured noise as the output driving process. Under certain conditions a random Hamiltonian evolution is recovered. Moreover, we show that our non-Markovian stochastic Schr\"odinger equations unravel some master equations with memory kernels.

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