Quantum Stratonovich Stochastic Calculus and the Quantum Wong-Zakai Theorem


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dc.contributor.author Gough, John E.
dc.date.accessioned 2008-11-12T12:31:37Z
dc.date.available 2008-11-12T12:31:37Z
dc.date.issued 2006
dc.identifier.citation Gough , J E 2006 , ' Quantum Stratonovich Stochastic Calculus and the Quantum Wong-Zakai Theorem ' Journal of Mathematical Physics , vol 47 , no. 11 . , 10.1063/1.2354331 en
dc.identifier.issn 1089-7658
dc.identifier.other PURE: 84486
dc.identifier.other dspace: 2160/1062
dc.identifier.uri http://hdl.handle.net/2160/1062
dc.identifier.uri http://arxiv.org/abs/math-ph/0511046 en
dc.description Gough, John, 'Quantum Stratonovich Stochastic Calculus and the Quantum Wong-Zakai Theorem', Journal of Mathematical Physics. 47, 113509, (2006) en
dc.description.abstract We extend the Ito -to- Stratonovich analysis or quantum stochastic differential equations, introduced by Gardiner and Collett for emission (creation), absorption (annihilation) processes, to include scattering (conservation) processes. Working within the framework of quantum stochastic calculus, we define Stratonovich calculus as an algebraic modification of the Ito one and give conditions for the existence of Stratonovich time-ordered exponentials. We show that conversion formula for the coefficients has a striking resemblance to Green's function formulae from standard perturbation theory. We show that the calculus conveniently describes the Markov limit of regular open quantum dynamical systemsin much the same way as in the Wong-Zakai approximation theorems of classical stochastic analysis. We extend previous limit results to multiple-dimensions with a proof that makes use of diagrammatic conventions. en
dc.format.extent 19 en
dc.language.iso eng
dc.relation.ispartof Journal of Mathematical Physics en
dc.title Quantum Stratonovich Stochastic Calculus and the Quantum Wong-Zakai Theorem en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1063/1.2354331
dc.contributor.institution Institute of Mathematics & Physics (ADT) en
dc.contributor.institution Quantum Systems, Information and Control en
dc.description.status Peer reviewed en

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