Singular perturbation of quantum stochastic differential equations with coupling through an oscillator mode


Autoria(s): Van Handel, R.; Gough, John E.
Contribuinte(s)

Institute of Mathematics & Physics (ADT)

Quantum Systems, Information and Control

Data(s)

05/12/2008

05/12/2008

01/02/2007

Resumo

Gough, John; Van Handel, R., (2007) 'Singular perturbation of quantum stochastic differential equations with coupling through an oscillator mode', Journal of Statistical Physics 127(3) pp.575-607 RAE2008

We consider a physical system which is coupled indirectly to a Markovian resevoir through an oscillator mode. This is the case, for example, in the usual model of an atomic sample in a leaky optical cavity which is ubiquitous in quantum optics. In the strong coupling limit the oscillator can be eliminated entirely from the model, leaving an effective direct coupling between the system an the resevoir. Here we provide a mathematically rigorous treatment of this limit as a weak limit of the time evolution and observables on a suitably chosen exponential domain in Fock space. The resulting effective model may contain emission and absorption as well as scattering interactions.

Peer reviewed

Formato

33

Identificador

Van Handel , R & Gough , J E 2007 , ' Singular perturbation of quantum stochastic differential equations with coupling through an oscillator mode ' Journal of Statistical Physics , vol 127 , no. 3 , pp. 575-607 . DOI: 10.1007/s10955-007-9284-2

0022-4715

PURE: 88542

PURE UUID: 5e345271-03de-427a-8dcf-351baafcb2ab

dspace: 2160/1397

http://hdl.handle.net/2160/1397

http://dx.doi.org/10.1007/s10955-007-9284-2

Idioma(s)

eng

Relação

Journal of Statistical Physics

Tipo

/dk/atira/pure/researchoutput/researchoutputtypes/contributiontojournal/article

Article (Journal)

Direitos