Journal
NEW JOURNAL OF PHYSICS
Volume 10, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/10/9/095008
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Funding
- NSF [0555824, 0653377, 0603369]
- NSF Graduate Research Fellowship
- DFG [SFB631]
- Emmy Noether program
- CIFAR
- NSERC
- Alfred P Sloan Foundation
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [0653377] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [0603369] Funding Source: National Science Foundation
- Direct For Mathematical & Physical Scien
- Division Of Physics [0555824] Funding Source: National Science Foundation
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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)-10(5). The imaginary part of the membrane's index of refraction is found to be similar to 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 timescale 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.
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