Commutativity of the adiabatic elimination limit of fast oscillatory components and the instantaneous feedback limit in quantum feedback networks

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dc.contributor.author Gough, John Edward
dc.contributor.author Nurdin, Hendra
dc.contributor.author Wildfeuer, Sebastian
dc.date.accessioned 2011-01-06T14:43:56Z
dc.date.available 2011-01-06T14:43:56Z
dc.date.issued 2010-01-01
dc.identifier.citation Gough , J E , Nurdin , H & Wildfeuer , S 2010 , ' Commutativity of the adiabatic elimination limit of fast oscillatory components and the instantaneous feedback limit in quantum feedback networks ' Journal of Mathematical Physics , vol 51 , no. 21 , 123518 . en
dc.identifier.issn 0022-2488
dc.identifier.other PURE: 156544
dc.identifier.other dspace: 2160/6058
dc.identifier.uri http://hdl.handle.net/2160/6058
dc.identifier.uri http://jmp.aip.org/resource/1/jmapaq/v51/i12 en
dc.description John E. Gough, Hendra I. Nurdin, and Sebastian Wildfeuer J. Math. Phys. 51, 123518 (2010); doi:10.1063/1.3520513 (25 pages) Sponsorship: EPSRC en
dc.description.abstract We show that, for arbitrary quantum feedback networks consisting of several quantum mechanical components connected by quantum fields, the limit of adiabatic elimination of fast oscillator modes in the components and the limit of instantaneous transmission along internal quantum field connections commute. The underlying technique is to show that both limits involve a Schur complement procedure. The result shows that the frequently used approximations, for instance to eliminate strongly coupled optical cavities, are mathematically consistent. en
dc.language.iso eng
dc.relation.ispartof Journal of Mathematical Physics en
dc.title Commutativity of the adiabatic elimination limit of fast oscillatory components and the instantaneous feedback limit in quantum feedback networks en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1063/1.3520513
dc.contributor.institution Quantum Systems, Information and Control en
dc.contributor.institution Institute of Mathematics & Physics (ADM) en
dc.contributor.institution Institute of Mathematics & Physics (ADT) en
dc.description.status Peer reviewed en


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