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Trapped Ion Quantum Computing

Cooling and squeezing via quadratic optomechanical coupling

arXiv
Authors: A. Nunnenkamp, K. Borkje, J. G. E. Harris, S. M. Girvin

Year

2010

Paper ID

8920

Status

Preprint

Abstract Read

~2 min

Abstract Words

108

Citations

N/A

Abstract

We explore the physics of optomechanical systems in which an optical cavity mode is coupled parametrically to the square of the position of a mechanical oscillator. We derive an effective master equation describing two-phonon cooling of the mechanical oscillator. We show that for high temperatures and weak coupling, the steady-state phonon number distribution is non-thermal (Gaussian) and that even for strong cooling the mean phonon number remains finite. Moreover, we demonstrate how to achieve mechanical squeezing by driving the cavity with two beams. Finally, we calculate the optical output and squeezing spectra. Implications for optomechanics experiments with the membrane-in-the-middle geometry or ultracold atoms in optical resonators are discussed.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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  • We explore the physics of optomechanical systems in which an optical cavity mode is coupled parametrically to the square of the position of a mechanical oscillator.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1004.2510 [2] arXiv https://arxiv.org/abs/1004.2510 [3] Publisher https://arxiv.org/abs/1004.2510

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