Adiabatic Elimination in Quantum Stochastic Models

We consider a physical system with a coupling to bosonic reservoirs via a quantum stochastic differential equation. We study the limit of this model as the coupling strength tends to infinity. We show that in this limit the solution to the quantum stochastic differential equation converges strongly to the solution of a limit quantum stochastic differential equation. In the limiting dynamics the excited states are removed and the ground states couple directly to the reservoirs. ; © 2008 Springer. Received: 22 August 2007 Accepted: 7 December 2007 Published online: 22 May 2008. We thank Mike Armen, Ramon van Handel and Hideo Mabuchi for stimulating discussion. We especially thank Ramon van Handel for pointing out mistakes in an earlier version of this work. L.B. is supported by the ARO under Grant No. W911NF-06-1-0378. A.S. acknowledges support by the ONR under Grant No. N00014-05-1-0420. ; Accepted Version - 0707.0686.pdf