Continuous measurement of canonical observables and limit stochastic Schrödinger equations

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dc.contributor.author Sobolev, Andrei
dc.contributor.author Gough, John E.
dc.date.accessioned 2009-07-21T15:43:42Z
dc.date.available 2009-07-21T15:43:42Z
dc.date.issued 2004-03-17
dc.identifier.citation Sobolev , A & Gough , J E 2004 , ' Continuous measurement of canonical observables and limit stochastic Schrödinger equations ' Physical Review A , vol 69 , no. 3 . , 10.1103/PhysRevA.69.032107 en
dc.identifier.issn 1050-2947
dc.identifier.other PURE: 114481
dc.identifier.other dspace: 2160/2704
dc.identifier.uri http://hdl.handle.net/2160/2704
dc.description Phys. Rev. A 69, 032107 (2004) en
dc.description.abstract We derive the stochastic Schrödinger equation for the limit of continuous weak measurement where the observables monitored are canonical position and momentum. To this end we extend an argument due to Smolianov and Truman from the von Neumann model of indirect measurement of position to the Arthurs and Kelly model for simultaneous measurement of position and momentum. We require only unbiasedness of the detector states and an integrability condition sufficient to ensure a central limit effect. Despite taking a weak interaction as opposed to a weak measurement limit, the resulting stochastic wave equation is of the same form as that derived in a recent paper by Scott and Milburn for the specific case of joint Gaussian states. en
dc.language.iso eng
dc.relation.ispartof Physical Review A en
dc.title Continuous measurement of canonical observables and limit stochastic Schrödinger equations en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1103/PhysRevA.69.032107
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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