Generating EPR beams in a cavity optomechanical system

We propose a scheme to produce continuous variable entanglement between phase-quadrature amplitudes of two light modes in an optomechanical system. For proper driving power and detuning, the entanglement is insensitive with bath temperature and $Q$ of the mechanical oscillator. Under realistic experimental conditions, we find that the entanglement could be very large even at room temperature.

Figure 1

(Color online) Experimental setup. Cavity modes $a$ and $b$, which are driven by four lasers, couple to the mechanical mode $a_m$.

Figure 2

(Color online) EOF for different temperature. $\mid \alpha \mid$ is 1000, $\delta ∕2\pi =10\mathrm{MHz}$, $d=0.07\gamma$. The maxima squeezing is larger than $16\mathrm{dB}$ when $T=300\mathrm{K}$.

Figure 3

(Color online) EOF for different cavity mode amplitude $\alpha$. Here we adopt $\delta ∕2\pi =10\mathrm{MHz}$, $T=300\mathrm{K}$, ${\gamma }_p∕2\pi =3.2\mathrm{MHz}$, and $d=0.07\gamma$.

Figure 4

(Color online) EOF for different $d$. Here we adopt ${\omega }_m∕2\pi =73.5\mathrm{MHz}$, $T=300\mathrm{K}$, ${\gamma }_m={\omega }_m∕30000$, $\gamma ∕2\pi =3.2\mathrm{MHz}$, and $\mid \alpha \mid =1000$.