Nonreciprocal entanglement in exciton optomechanics with an optical parametric amplifier

Abstract

We study nonreciprocal bipartite and tripartite entanglement in a spinning exciton-optomechanical system (EOMS) with an optical parametric amplifier (OPA). We demonstrate that nonreciprocal entanglement among photons, excitons, and phonons can be achieved under experimentally feasible parameters. We find that the nonreciprocal entanglement induced by Sagnac effects can be regulated through the OPA. Particularly, We show that the OPA significantly enhances photon-exciton entanglement and tripartite entanglement but weakens photon-phonon and exciton-phonon entanglement. Moreover, we find that the photon-exciton nonreciprocal entanglement not only can be generated at room temperature and even higher temperature but also exhibits highly robustness to cavity dissipation. Our works open a way to manipulate the room-temperature nonreciprocal entanglement, which may be useful for developing nonreciprocal quantum technologies.

Figures (11)

• Figure 1: Schematic of a spinning exciton optomechanical system (EOMS) embeded an exciton-trapping quantum well (QW) and an optical parametric amplifier (OPA). The resonator simultaneously supports a mechanical mode, an optical whispering-gallery mode, and an exciton mode. The microwave driving can be applied respectively along two different directions: $\Delta_F > 0$ denotes the driving fields comes from the left-hand side (a), $\Delta_F < 0$ denotes the driving field comes from the right-hand side (b).
• Figure 2: The photon-exciton entanglement ($E_{N}^{c,a}$) versus $\Delta_{F}/\omega_{b}$ and the exciton-drive detuning $\Delta_{a}/\omega_{b}$. (a) $G = 0$, (b) $G = 0.08\omega_{b}$, the phase $\varphi$ associated with the OPA drive field is assumed to be $0$. Moreover, we set $\Delta_{F}/\omega_{b} = 0.1$ (solid line) and $\Delta_{F}/\omega_{b} = -0.1$ (dashed line) in (c)-(d). We take $\tilde{\Delta}_{c} = 0.9\omega_{b}$, and the other parameters are provided in the text.
• Figure 3: The photon-phonon ($E_{N}^{c,b}$) versus $\Delta_{F}/\omega_{b}$ and the exciton-drive detuning $\Delta_{a}/\omega_{b}$ (a) $G = 0$, (b) $G = 0.08\omega_{b}$, the phase $\varphi$ associated with the OPA drive field is assumed to be $\pi/2$. Moreover, we set $\Delta_{F}/\omega_{b} = 0.1$ (solid line) and $\Delta_{F}/\omega_{b} = -0.1$ (dashed line) in (c)-(d). The other parameters are the same as in Fig. \ref{['fig:2']}.
• Figure 4: The exciton-phonon entanglement ($E_{N}^{a,b}$) versus $\Delta_{F}/\omega_{b}$ and the exciton-drive detuning $\Delta_{a}/\omega_{b}$ (a) $G = 0$, (b) $G = 0.08\omega_{b}$, the phase $\varphi$ associated with the OPA drive field is assumed to be $0$. Moreover, we set $\Delta_{F}/\omega_{b} = 0.1$ (solid line) and $\Delta_{F}/\omega_{b} = -0.1$ (dashed line) in (c)-(d). The other parameters are the same as in Fig. \ref{['fig:2']}.
• Figure 5: Bidirectional contrast ratios (a) $C_{N}^{c,a}$, (b) $C_{N}^{c,b}$ and (c) $C_{N}^{a,b}$ versus the OPA nonlinear gain $G/\kappa_{c}$ and the exciton-drive detuning $\Delta_{a}/\omega_{b}$, with phase $\varphi = \pi/2$ and $|\Delta_F| = 0.1\omega_b$. The region enclosed by the red dashed line indicates the ideal nonreciprocal entanglement. The other parameters are the same as in Fig. \ref{['fig:2']}.