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Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion

Florian MarquardtDepartment of Physics, Arnold-Sommerfeld-Center for Theoretical Physics, and Center for NanoScience, Ludwig-Maximilians-Universität München, Theresienstrasse 37, 80333 Munich, GermanyJoe P. ChenDepartment of Physics, Cornell University, 109 Clark Hall, Ithaca, New York 14853-2501, USAAashish A. ClerkDepartment of Physics, McGill University, 3600 rue University, Montreal, QC Canada H3A 2T8S. M. GirvinDepartment of Physics, Yale University, P.O. Box 208120, New Haven, Connecticut 06520-8120, USA
2007en
ABI

Аннотация

We present a quantum-mechanical theory of the cooling of a cantilever coupled via radiation pressure to an illuminated optical cavity. Applying the quantum noise approach to the fluctuations of the radiation pressure force, we derive the optomechanical cooling rate and the minimum achievable phonon number. We find that reaching the quantum limit of arbitrarily small phonon numbers requires going into the good-cavity (resolved phonon sideband) regime where the cavity linewidth is much smaller than the mechanical frequency and the corresponding cavity detuning. This is in contrast to the common assumption that the mechanical frequency and the cavity detuning should be comparable to the cavity damping.

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