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

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

2006-09-06

arxiv.org/abs/math-ph/0609015v1

J. Stat. Phys. 127, 575-607 (2007)

Physics

Mathematical Physics

Scientific paper

10.1007/s10955-007-9284-2

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 and 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.

Affiliated with

Also associated with

No associations

Rating

Singular perturbation of quantum stochastic differential equations with coupling through an oscillator mode does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Singular perturbation of quantum stochastic differential equations with coupling through an oscillator mode, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Singular perturbation of quantum stochastic differential equations with coupling through an oscillator mode will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-317937