English

Adiabatic elimination in quantum stochastic models

Mathematical Physics 2009-11-13 v4 math.MP Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.0707.0686,
  title  = {Adiabatic elimination in quantum stochastic models},
  author = {Luc Bouten and Andrew Silberfarb},
  journal= {arXiv preprint arXiv:0707.0686},
  year   = {2009}
}

Comments

17 pages, no figures, corrected mistakes

R2 v1 2026-06-21T08:55:15.172Z