Dispersive optomechanics: a membrane inside a cavity

Abstract

We present the results of theoretical and experimental studies of dispersively coupled (or "membrane in the middle") optomechanical systems. We calculate the linear optical properties of a high finesse cavity containing a thin dielectric membrane. We focus on the cavity's transmission, reflection, and finesse as a function of the membrane's position along the cavity axis and as a function of its optical loss. We compare these calculations with measurements and find excellent agreement in cavities with empty-cavity finesses in the range 10^4 to 10^5. The imaginary part of the membrane's index of refraction is found to be approximately 10^(-4). We calculate the laser cooling performance of this system, with a particular focus on the less-intuitive regime in which photons "tunnel" through the membrane on a time scale comparable to the membrane's period of oscillation. Lastly, we present calculations of quantum non-demolition measurements of the membrane's phonon number in the low signal-to-noise regime where the phonon lifetime is comparable to the QND readout time.

References in corpus (8)

• Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• Theory of ground state cooling of a mechanical oscillator using dynamical back-action
• Radiation-pressure cooling and optomechanical instability of a micro-mirror
• Self-cooling of a micro-mirror by radiation pressure
• High quality mechanical and optical properties of commercial silicon nitride membranes
• Optomechanical trapping and cooling of partially transparent mirrors
• Protocols for optimal readout of qubits using a continuous quantum nondemolition measurement

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