Cooling and squeezing via quadratic optomechanical coupling
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 nonthermal (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.
- Publication:
-
Physical Review A
- Pub Date:
- August 2010
- DOI:
- 10.1103/PhysRevA.82.021806
- arXiv:
- arXiv:1004.2510
- Bibcode:
- 2010PhRvA..82b1806N
- Keywords:
-
- 37.30.+i;
- 42.50.Lc;
- 42.65.-k;
- 85.85.+j;
- Atoms molecules and ions in cavities;
- Quantum fluctuations quantum noise and quantum jumps;
- Nonlinear optics;
- Micro- and nano-electromechanical systems and devices;
- Condensed Matter - Mesoscale and Nanoscale Physics;
- Quantum Physics
- E-Print:
- 4 pages, 3 figures