Adiabatic elimination in quantum stochastic models

TL;DR

This paper analyzes the limit of quantum stochastic models with strong coupling to reservoirs, showing convergence to a simplified model where excited states are eliminated and ground states interact directly with the environment.

Contribution

It introduces a rigorous analysis of adiabatic elimination in quantum stochastic differential equations under strong coupling conditions.

Findings

Solutions converge strongly to a limit model as coupling increases

Excited states are effectively removed in the limit

Ground states couple directly to reservoirs in the limit

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.