Quantum White Noises and The Master Equation for Gaussian Reference States

Details Quantum White Noises and The Master Equation for Gaussian Reference States Quantum White Noises and The Master Equation for Gaussian Reference States

2003-09-12

arxiv.org/abs/quant-ph/0309103v1

Russian Journal of Mathematical Physics, Vol. 10, No. 2, 2003, pp. 142-148

Physics

Quantum Physics

10 pages, no figures

Scientific paper

We show that a basic quantum white noise process formally reproduces quantum stochastic calculus when the appropriate normal / chronological orderings are prescribed. By normal ordering techniques for integral equations and a generalization of the Araki-Woods representation, we derive the master and random Heisenberg equations for an arbitrary Gaussian state: this includes thermal and squeezed states.

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