Quantum-correlated photons generated by nonlocal electron transport

Since the realization of high-quality microwave cavities coupled to quantum dots, one can envisage possibility investigate coherent interaction light and matter in semiconductor devices. Here we study a parallel double dot device operating as single-electron splitter interferometer, with each local photon cavity. We explore how correlation entanglement between two separated are generated by transport single electron passing simultaneously through different dots. calculate covariance cavity occupations use diagrammatic perturbative expansion based on Keldysh Green's functions fourth order dot-cavity strength, taking into account vertex diagrams. In this way, demonstrate creation showing that classical Cauchy-Schwarz inequality is violated if energy levels dots almost degenerate. For large level detunings or cavities, show not violated.