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Journal Article

Quantum Many-Body Dynamics in Optomechanical Arrays


Marquardt,  Florian
Marquardt Group, Associated Groups, Max Planck Institute for the Science of Light, Max Planck Society;

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Ludwig, M., & Marquardt, F. (2013). Quantum Many-Body Dynamics in Optomechanical Arrays. Physical Review Letters, 111(7): 073603. doi:10.1103/PhysRevLett.111.073603.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-6723-E
We study the nonlinear driven dissipative quantum dynamics of an array of optomechanical systems. At each site of such an array, a localized mechanical mode interacts with a laser-driven cavity mode via radiation pressure, and both photons and phonons can hop between neighboring sites. The competition between coherent interaction and dissipation gives rise to a rich phase diagram characterizing the optical and mechanical many-body states. For weak intercellular coupling, the mechanical motion at different sites is incoherent due to the influence of quantum noise. When increasing the coupling strength, however, we observe a transition towards a regime of phase-coherent mechanical oscillations. We employ a Gutzwiller ansatz as well as semiclassical Langevin equations on finite lattices, and we propose a realistic experimental implementation in optomechanical crystals.