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

Alexandre Le Boité (1) , Giuliano Orso (1) , Cristiano Ciuti (1)

1 MPQ (UMR_7162) - Laboratoire Matériaux et Phénomènes Quantiques

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.

Domaines: Autre [cond-mat.other]; Physique Quantique [quant-ph]

Alexandre Le Boité, Giuliano Orso, Cristiano Ciuti. Steady-state phases and tunneling-induced instabilities in the driven-dissipative Bose-Hubbard model. Physical Review Letters, 2013, 110, pp.233601. ⟨10.1103/PhysRevLett.110.233601⟩. ⟨hal-00768158⟩