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

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.

References in corpus (10)

• Quantum fluids of light
• Observation of Superfluidity of Polaritons in Semiconductor Microcavities
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Quantum phase transitions of light
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Climbing the Jaynes-Cummings Ladder and Observing its Sqrt(n) Nonlinearity in a Cavity QED System
• Single photons from coupled quantum modes
• On the origin of strong photon antibunching in weakly nonlinear photonic molecules
• Non-equilibrium dynamics of coupled qubit-cavity arrays
• Hydrodynamic nucleation of vortices and solitons in a resonantly excited polariton superfluid

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