1206.6321 (A. Tomadin et al.)

Reservoir engineering and dynamical phase transitions in optomechanical
arrays    [PDF]

A. Tomadin, S. Diehl, M. D. Lukin, P. Rabl, P. Zoller

We study the driven-dissipative dynamics of photons interacting with an array of micromechanical membranes in an optical cavity. Periodic membrane driving and phonon creation result in an effective photon-number conserving non-unitary dynamics, which features a steady state with long-range photonic coherence. If the leakage of photons out of the cavity is counteracted by incoherent driving of the photonic modes, we show that the system undergoes a dynamical phase transition to the state with long-range coherence. A minimal system, composed of two micromechanical membranes in a cavity, is studied in detail, and it is shown to be a realistic setup where the key processes of the driven-dissipative dynamics can be seen.

View original: http://arxiv.org/abs/1206.6321