Genuine tripartite entanglement for exciton modes through exciton optomechanics

Exciton optomechanics, a hybrid platform facilitating nonlinear interactions among excitons, phonons, and photons, offers unique opportunities to explore light-matter interactions and their intrinsic nonlinearities. In this study, we propose a scheme to generate genuine tripartite entanglement among three exciton modes within an exciton-optomechanical system comprising a semiconductor optomechanical microcavity with three integrated quantum wells. The exciton modes supported by these quantum wells simultaneously interact with an optical cavity mode via a beam-splitter-type interaction and couple to a mechanical vibration mode through a nonlinear deformation potential interaction. By employing experimentally feasible parameters and carefully chosen detunings, the three exciton modes achieve resonance with the Stokes and anti-Stokes sidebands scattered by mechanical motion, enabling genuine tripartite entanglement. Notably, this steady-state entanglement is robust against thermal baths, providing a promising approach for generating excitonic multipartite entanglement.