Quantum White Noises and The Master Equation for Gaussian Reference States

Fuente: arXiv
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Main Author: Gough, John
Format: Preprint
Published: 2003
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author Gough, John
author_facet Gough, John
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_quant_ph_0309103
institution arXiv
publishDate 2003
record_format arxiv
spellingShingle Quantum White Noises and The Master Equation for Gaussian Reference States
Gough, John
Quantum Physics
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.
title Quantum White Noises and The Master Equation for Gaussian Reference States
topic Quantum Physics
url https://arxiv.org/abs/quant-ph/0309103