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Quantum White Noises and The Master Equation for Gaussian Reference States

John Gough
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Abstract

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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John Gough. 2003-09-12. Quantum White Noises and The Master Equation for Gaussian Reference States. https://arxiv.org/abs/quant-ph/0309103

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