Squeezing of a movable mirror via the dissipative optomechanical coupling

Abstract

We investigate the squeezing for a movable mirror in the dissipative optomechanics in which the oscillating mirror modulates both the resonance frequency and the linewidth of the cavity mode. Via feeding a much weaker broadband squeezed vacuum light accompanying the coherent driving laser field into the cavity, the master equation for the cavity-mirror system is derived by following the general reservoir theory based on the density operator in which the reservoir variables are adiabatically eliminated by using the reduced density operator for the system in the interaction picture. When the mirror is weakly coupled to the cavity mode, we find that under the conditions of laser cooling to the ground state, the driven cavity field can effectively perform as a squeezed vacuum reservoir for the movable mirror via utilizing the completely destructive interference of quantum noise, and thus the efficient transfer of squeezing from the light to the movable mirror occurs, which is irrespective of the ratio between the cavity damping rate and the mechanical frequency. When the mirror is moderately coupled to the cavity mode, the photonic excitation can preclude the completely destructive interference of quantum noise, and as a consequence, the mirror deviates from the ideal squeezed state.

References in corpus (7)

• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• Theory of ground state cooling of a mechanical oscillator using dynamical back-action
• Ground-state cooling of a micromechanical oscillator: generalized framework for cold damping and cavity-assisted cooling schemes
• Single-photon Optomechanics
• Precision measurement of charge number with optomechanically induced transparency
• Quantum Noise Interference and Back-action Cooling in Cavity Nanomechanics
• Cavity-assisted squeezing of a mechanical oscillator

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