Quantum white noises and the master equation for Gaussian reference states

J. Gough*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Citations (SciVal)

Abstract

We show that a basic quantum white noise process, satisfying (QWN1-2) below, formally reproduces the 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.

Original languageEnglish
Pages (from-to)142-148
Number of pages7
JournalRussian Journal of Mathematical Physics
Volume10
Issue number2
Publication statusPublished - Apr 2003
Externally publishedYes

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