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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Cavity-assisted backaction cooling of mechanical resonators

Focus on Mechanical Systems at the Quantum Limit

I Wilson-Rae1,3, N Nooshi1, J Dobrindt2, T J Kippenberg2 and W Zwerger1

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Part of Focus on Mechanical Systems at the Quantum Limit

We analyze the quantum regime of the dynamical backaction cooling of a mechanical resonator assisted by a driven harmonic oscillator (cavity). Our treatment applies to both optomechanical and electromechanical realizations and includes the effect of thermal noise in the driven oscillator. In the perturbative case, we derive the corresponding motional master equation using the Nakajima–Zwanzig formalism and calculate the corresponding output spectrum for the optomechanical case. Then we analyze the strong optomechanical coupling regime in the limit of small cavity linewidth. Finally, we consider the steady state covariance matrix of the two coupled oscillators for arbitrary input power and obtain an analytical expression for the final mechanical occupancy. This is used to optimize the drive's detuning and input power for an experimentally relevant range of parameters that includes the resolved-sideband-limit ground state cooling regime.


PACS

37.10.Vz Mechanical effects of light on atoms, molecules, and ions

07.10.Cm Micromechanical devices and systems

Subjects

Atomic and molecular physics

Instrumentation and measurement

Dates

Issue 9 (September 2008)

Received 22 April 2008

Published 30 September 2008



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