Tomadin, A.Diehl, S.Lukin, MikhailRabl, P.Zoller, P.2014-03-062012Tomadin, A., S. Diehl, M. D. Lukin, P. Rabl, and P. Zoller. 2012. “Reservoir Engineering and Dynamical Phase Transitions in Optomechanical Arrays.” Phys. Rev. A 86 (3) (September): 033821.1050-2947http://nrs.harvard.edu/urn-3:HUL.InstRepos:11870346We 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.en-USQuantum Physics (quant-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall)Journal Article2014-02-24Mikhail Lukin2014-03-0610.1103/physreva.86.033821