Effect of phase noise on the generation of stationary entanglement in cavity optomechanics

Abstract

We study the effect of laser phase noise on the generation of stationary entanglement between an intracavity optical mode and a mechanical resonator in a generic cavity optomechanical system. We show that one can realize robust stationary optomechanical entanglement even in the presence of non-negligible laser phase noise. We also show that the explicit form of the laser phase noise spectrum is relevant, and discuss its effect on both optomechanical entanglement and ground state cooling of the mechanical resonator.

Fully quantum approach to optomechanical entanglement

“…Meanwhile, the generated entanglement is also weakened or even destroyed by the noise drives. The entanglement in the same regime was well studied in the fluctuation expansion approach [11][12][13][14][15][16][17][18][19]. The steady entanglement of the cavity and mechanical fluctuation is based on the classical steady state of OMS, the existence of which is determined by Routh-Hurwitz criterion [50] in terms of the following inequalities [11]: with G = √ 2gα s and ∆ = ∆ 0 − g 2 |α s | 2 /ω m expressed in terms of the cavity field amplitude α s = E/(κ + i∆) as the stationary solution to the Langevin equation.…”

“…Most previous studies of optomechanical entanglement (see, e.g. [11][12][13][14][15][16][17][18][19]) concern that of the fluctuations around the steady state solution of the classical Langevin equations under continuous-wave (CW) drive. Some other FIG.…”

Review of cavity optomechanical cooling

“…Before conclusion, we would like to make some remarks on the influence of laser phase noise on cavity optomechanical cooling [181,182,183,184,185,186,187,188], which is a technical factor that limits the cooling process. The phase noise exists in many lasers, especially in diode lasers [187].…”

Nonclassical States of Light and Mechanics

“…Entanglement of a mechanical oscillator with light has been predicted in a number of theoretical studies [5,55,56,57,58,59,60,61,62,63] and would be an intriguing demonstration of optomechanics in the quantum regime. These studies, as well as similar ones investigating entanglement among several mechanical oscillators [64,65,66,67,68,69,70,71,72], explore entanglement in the steady-state regime.…”