Quantum White Noises and The Master Equation for Gaussian Reference States

2003/09/12 by Gough, John
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.quant-ph/0309103

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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