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Index OMC_final - Harvard University

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OPTOMECHANICS WITH A SILICON NITRIDE MEMBRANE<br />

APPROACHING THE QUANTUM REGIME<br />

Jack Sankey<br />

Yale <strong>University</strong><br />

A major goal in optomechanics is to observe and control quantum behavior in a system consisting<br />

of a solid mechanical element coupled to an optical cavity. Work toward this goal has traditionally<br />

focused on increasing the strength of this coupling; however, the form of the coupling is crucial in<br />

determining what phenomena are observable.<br />

Here I will demonstrate that avoided crossings in the spectrum of an optical cavity containing a<br />

flexible dielectric membrane allow us to realize several different forms of the optomechanical<br />

coupling. These include cavity detunings that are (to lowest order) linear, quadratic, or quartic in<br />

the membrane's displacement, and a cavity finesse that is linear in (or independent of) the<br />

membrane's displacement. All the couplings are realized in a single device with extremely low<br />

optical loss and can be tuned over a wide range in situ; in particular, we find that the quadratic<br />

coupling can be increased three orders of magnitude beyond previous devices. As a result of these<br />

advances, the device presented here should be capable of demonstrating the quantization of the<br />

membrane's mechanical energy.<br />

I will also discuss our recent efforts to laser cool the membrane's vibrations into the quantum<br />

regime. By coupling free-space laser light from room temperature into a 300 mK cryostat we have<br />

cooled the membrane's motion from a phonon occupancy of 30,000 to roughly 10. Using a<br />

recently-implemented heterodyne measurement we hope to both extract signatures of quantum<br />

behavior in the membrane's motion and measure a phonon occupancy close to zero.<br />

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