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Reservoir engineering and dynamical phase transitions in optomechanical arrays

2012/06/30 by A. Tomadin, S. Diehl, M. D. Lukin +2 · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.mes-hall

paper · pdf · doi:10.1103/physreva.86.033821

published as Phys. Rev. A 86, 033821 (2012) · 16 pages, 9 figures

arxiv created 2012/09/18 · arxiv updated 2012/09/24

Abstract

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.

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