Anomalous dynamic back-action in interferometers

Abstract

We analyze the dynamic optomechanical back-action in signal-recycled Michelson and Michelson-Sagnac interferometers that are operated off dark port. We show that in this case --- and in contrast to the well-studied canonical form of dynamic back-action on dark port --- optical damping in a Michelson-Sagnac interferometer acquires a non-zero value on cavity resonance, and additional stability/instability regions on either side of the resonance, revealing new regimes of cooling/heating of micromechanical oscillators. In a free-mass Michelson interferometer for a certain region of parameters we predict a stable single-carrier optical spring (positive spring and positive damping), which can be utilized for the reduction of quantum noise in future-generation gravitational-wave detectors.

9 pages, 5 figures. Paper reorganized

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• Enhanced Optomechanical Levitation of Minimally Supported Dielectrics
• Generalized analysis of quantum noise and dynamic back-action in signal-recycled Michelson-type laser interferometers
• "Membrane-outside" as an optomechanical system
• Dissipative coupling, dispersive coupling and their combination in the cavity-less opto-mechanical systems
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• Stable Optical Rigidity Based on Dissipative Coupling
• Combination of dissipative and dispersive coupling in the cavity optomechanical systems
• Enhanced optomechanical interaction in the unbalanced interferometer