Entangling two exciton modes placed in two separate exciton-optomechanical cavities

Distributing robust and long-distance entanglement between repeater nodes is a critical task for both foundational tests of quantum physics and the development of scalable quantum networks. In this paper, we propose a scheme for entangling two spatially separated exciton modes located in two exciton-optomechanical cavities. Each cavity, consisting of a semiconductor optomechanical cavity integrated with a quantum well, is simultaneously driven by a red-detuned laser and a squeezed vacuum light. Under realistic experimental conditions, we show that steady-state entanglement can be established between the two exciton modes by transferring quantum correlations from the squeezed light to them. Maximum entanglement is achieved when the exciton modes are tuned to resonance with the anti-Stokes sidebands of the driving lasers. With a high mechanical quality factor, the resulting entanglement exhibits robust behavior against thermal noise and remains significantly nonzero even at room temperature. Furthermore, we discuss a method to access and detect the excitonic entanglement. Our scheme provides a promising platform for practical long-distance entanglement distribution, which is of fundamental importance for quantum information processing and network architectures.