English

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

Other Condensed Matter 2013-06-17 v1 Quantum Physics

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.

Keywords

Cite

@article{arxiv.1212.5444,
  title  = {Steady-state phases and tunneling-induced instabilities in the driven-dissipative Bose-Hubbard model},
  author = {Alexandre Le Boité and Giuliano Orso and Cristiano Ciuti},
  journal= {arXiv preprint arXiv:1212.5444},
  year   = {2013}
}