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arXiv · 1212.5444

Steady-state phases and tunneling-induced instabilities in the driven-dissipative Bose-Hubbard model

Alexandre Le Boité·Giuliano Orso·Cristiano Ciuti
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Abstract

We determine the steady-state phases of a driven-dissipative Bose-Hubbard model, describing, e.g., an array of coherently pumped nonlinear cavities with a finite photon lifetime. Within a mean-field master equation approach using exact quantum solutions for the one-site problem, we show that the system exhibits a tunneling-induced transition between monostable and bistable phases. We characterize the corresponding quantum correlations, highlighting the essential differences with respect to the equilibrium case. We also find collective excitations with a flat energy-momentum dispersion over the entire Brillouin zone that trigger modulational instabilities at specific wavevectors.

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Alexandre Le Boité, Giuliano Orso, Cristiano Ciuti. 2012-12-21. Steady-state phases and tunneling-induced instabilities in the driven-dissipative Bose-Hubbard model. https://doi.org/10.1103/physrevlett.110.233601

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