Multimode Optomechanics as a Prototype of Mediated Interactions

Abstract

We theoretically investigate two quantum modes interacting via local couplings to a dissipative field. Our model considers two mechanical modes with distinct frequencies coupled optomechanically to the same cavity mode. The dissipative cavity field mediates the interaction between the mechanical modes but also leads to decoherence of the mechanical oscillators. Depending on the ratio between effective interaction strength and dissipation rate, which can be chosen via the pump detuning, the interaction assumes a quantum mechanical or classical character. For any cavity decay, there is a regime where the two mechanical modes interact in a non-classical way, which leads us to conclude that optomechanical systems can serve as a model to experimentally study the effects of long-range interactions mediated by classical or quantum-mechanical fields.

References in corpus (11)

• Cavity Opto-Mechanics with a Bose-Einstein Condensate
• Large Quantum Superpositions and Interference of Massive Nanometer-Sized Objects
• Dynamic strain-mediated coupling of a single diamond spin to a mechanical resonator
• Slowing and stopping light using an optomechanical crystal array
• Multimode circuit optomechanics near the quantum limit
• Two-mode squeezed states in cavity optomechanics via engineering of a single reservoir
• Optically Measuring Force near the Standard Quantum Limit
• Evading quantum mechanics
• Dissipation in ultrahigh quality factor SiN membrane resonators
• Ground state cooling of mechanical motion in the unresolved sideband regime by use of optomechanically induced transparency
• Macroscopic tunneling of a membrane in an optomechanical double-well potential

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