Cavity optomechanics assisted by optical coherent feedback

Abstract

We consider a wide family of optical coherent feedback loops acting on an optomechanical system operating in the linearized regime. We assess the efficacy of such loops in improving key operations, such as cooling, steady-state squeezing and entanglement, as well as optical to mechanical state transfer. We find that mechanical sideband cooling can be enhanced through passive, interferometric coherent feedback, achieving lower steady-state occupancies and considerably speeding up the cooling process; we also quantify the detrimental effect of non-zero delay times on the cooling performance. Steady state entanglement generation in the blue sideband can also be assisted by passive interferometric feedback, which allows one to stabilise otherwise unstable systems, though active feedback (including squeezing elements) does not help to this aim. We show that active feedback loops only allow for the generation of optical, but not mechanical squeezing. Finally, we prove that passive feedback can assist state transfer at transient times for red-sideband driven systems in the strong coupling regime.

12 Pages, 5 Figures

References in corpus (15)

• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• Theory of ground state cooling of a mechanical oscillator using dynamical back-action
• Observation of strong coupling between a micromechanical resonator and an optical cavity field
• Circuit cavity electromechanics in the strong coupling regime
• Motional Quantum Ground State of a Levitated Nanoparticle from Room Temperature
• Cavity Opto-Mechanics with a Bose-Einstein Condensate
• Squeezed Optomechanics with Phase-matched Amplification and Dissipation
• Back-action evasion and squeezing of a mechanical resonator using a cavity detector
• Sideband Cooling Beyond the Quantum Limit with Squeezed Light
• Cavity-assisted squeezing of a mechanical oscillator
• Quantum Feedback Networks: Hamiltonian Formulation
• Optical Lattices with Micromechanical Mirrors
• Coherent control and feedback cooling in a remotely-coupled hybrid atom-optomechanical system
• Comparing resolved-sideband cooling and measurement-based feedback cooling on an equal footing: analytical results in the regime of ground-state cooling