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We investigate the weak-strong coupling transition of two linearly coupledsystems under the influence of a phase fluctuating coupling. In the weakcoupling regime the exponential decay of quantum properties is well known. Adifferent scenario occurs in the strong coupling regime, the inhibition of thedynamics which tends to "freeze" as the ration between coupling strength andaverage phase fluctuation time increase. Exciton-polariton oscillations and theself-trapping phenomenon in Bose-Einstein Condensate qualitatively illustratethe weak and strong regimes respectively.

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