Adiabatic elimination in quantum stochastic models

Details Adiabatic elimination in quantum stochastic models Adiabatic elimination in quantum stochastic models

2007-07-05

arxiv.org/abs/0707.0686v4

Commun. Math. Phys. 283, 491-505 (2008)

Physics

Mathematical Physics

17 pages, no figures, corrected mistakes

Scientific paper

10.1007/s00220-008-0513-6

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.

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