Stochastic Schrodinger equations as limit of discrete filtering

Details Stochastic Schrodinger equations as limit of discrete filtering Stochastic Schrodinger equations as limit of discrete filtering

2004-06-09

arxiv.org/abs/quant-ph/0406055v3

Open Sys. & Information Dyn. 11: 1-21, 2004

Physics

Quantum Physics

21 pages, no figures

Scientific paper

We consider an open model possessing a Markovian quantum stochastic limit and derive the limit stochastic Schrodinger equations for the wave function conditioned on indirect observations using only the von Neumann projection postulate. We show that the diffusion (Gaussian) situation is universal as a result of the central limit theorem with the quantum jump (Poissonian) situation being an exceptional case. It is shown that, starting from the correponding limiting open systems dynamics, the theory of quantum filtering leads to the same equations, therefore establishing consistency of the quantum stochastic approach for limiting Markovian models.

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