Stochastic coupling in two modes systems: the weak-strong coupling transition

TL;DR

This paper explores the transition between weak and strong coupling in two-mode systems with phase fluctuations, revealing how quantum properties decay or freeze depending on the coupling strength and phase fluctuation dynamics.

Contribution

It introduces a detailed analysis of the weak-strong coupling transition considering phase fluctuations, highlighting the different behaviors in quantum property decay and dynamical inhibition.

Findings

Exponential decay of quantum properties in weak coupling.

Dynamical freezing occurs in strong coupling regimes.

Illustrations include exciton-polariton oscillations and BEC self-trapping.

Abstract

We investigate the weak-strong coupling transition of two linearly coupled systems under the influence of a phase fluctuating coupling. In the weak coupling regime the exponential decay of quantum properties is well known. A different scenario occurs in the strong coupling regime, the inhibition of the dynamics which tends to "freeze" as the ration between coupling strength and average phase fluctuation time increase. Exciton-polariton oscillations and the self-trapping phenomenon in Bose-Einstein Condensate qualitatively illustrate the weak and strong regimes respectively.