Permanent Directional Heat Currents in Lattices of Optomechanical Resonators

Abstract

We study the phonon dynamics in lattices of optomechanical resonators where the mutually coupled photonic modes are coherently driven and the mechanical resonators are uncoupled and connected to independent thermal baths. We present a general procedure to obtain the effective Lindblad dynamics of the phononic modes for an arbitrary lattice geometry, where the light modes play the role of an effective reservoir that mediates the phonon nonequilibrium dynamics. We show how to stabilize stationary states exhibiting directional heat currents over arbitrary distance, despite the absence of thermal gradient and of direct coupling between the mechanical resonators.

Final version accepted in PRL

References in corpus (6)

• Quantum fluids of light
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering
• Light-mediated cascaded locking of multiple nano-optomechanical oscillators
• Heat transport in harmonic oscillator systems with correlated baths: Application to optomechanical arrays

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