Self-trapping triggered by losses in cavity QED

In a coupled cavity QED network model, we study the transition from a delocalized superfluidlike state to a localized Mott-insulator-like state, triggered by losses. Without cavity losses, the transition never takes place. Further, if we measure the quantum correlations between the polaritons via the negativity, we find a critical cavity damping constant, above which the negativity displays a single peak in the same time region where the transition takes place. Additionally, we identify two regions in the parameter space, where, below the critical damping, oscillations of the initial localized state are observed along with a multipeaked negativity, while, above the critical value, the oscillations die out and the transition is witnessed by a neat single peaked negativity.