Entangling two exciton modes using exciton optomechanics

Exciton optomechanics, bridging cavity exciton polaritons and optomechanics, opens new opportunities for the study of light-matter strong interactions and nonlinearities, due to the rich nonlinear couplings among excitons, phonons, and photons. Here, we propose to entangle two exciton modes in an exciton-optomechanics system, which consists of a semiconductor microcavity integrated with two quantum wells. The quantum wells support two exciton modes, which simultaneously couple to an optical cavity mode via a linear dipole interaction and to a mechanical vibration mode via a nonlinear deformation potential interaction. We show that by strongly driving the microcavity with a red-detuned laser field and when the two exciton modes are respectively resonant with the Stokes and anti-Stokes sidebands scattered by the mechanical motion, stationary entanglement between the two exciton modes can be established under realistic parameters. The protocol is within reach of current technology and may become a promising approach for preparing excitonic entanglement.