Squeezing of a movable mirror via the dissipative optomechanical coupling

TL;DR

This paper explores how dissipative optomechanical coupling enables the transfer of squeezing from a driven cavity field to a movable mirror, achieving effective squeezing under specific conditions, with implications for quantum noise control.

Contribution

It introduces a method for transferring squeezing to a movable mirror via dissipative coupling and quantum interference, extending understanding of quantum noise manipulation in optomechanics.

Findings

Effective squeezing transfer occurs when the mirror is weakly coupled and laser cooled to the ground state.

Quantum noise interference enables the cavity field to act as a squeezed vacuum reservoir.

Moderate coupling reduces squeezing transfer due to precluding destructive interference.

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.