Quantum-correlated photons generated by nonlocal electron transport
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Since the realization of high-quality microwave cavities coupled to quantum dots, one can envisage the possibility to investigate the coherent interaction of light and matter in semiconductor quantum devices. Here we study a parallel double quantum dot device operating as single-electron splitter interferometer, with each dot coupled to a local photon cavity. We explore how quantum correlation and entanglement between the two separated cavities are generated by the coherent transport of a single electron passing simultaneously through the two different dots. We calculate the covariance of the cavity occupations by use of a diagrammatic perturbative expansion based on Keldysh Green's functions to the fourth order in the dot-cavity interaction strength, taking into account vertex diagrams. In this way, we demonstrate the creation of entanglement by showing that the classical Cauchy-Schwarz inequality is violated if the energy levels of the two dots are almost degenerate. For large level detunings or a single dot coupled to two cavities, we show that the inequality is not violated.
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HELLBACH, Felicitas, Fabian PAULY, Wolfgang BELZIG, Gianluca RASTELLI, 2022. Quantum-correlated photons generated by nonlocal electron transport. In: Physical Review B. American Physical Society (APS). 2022, 105(24), L241407. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.105.L241407BibTex
@article{Hellbach2022Quant-55472.2, year={2022}, doi={10.1103/PhysRevB.105.L241407}, title={Quantum-correlated photons generated by nonlocal electron transport}, number={24}, volume={105}, issn={2469-9950}, journal={Physical Review B}, author={Hellbach, Felicitas and Pauly, Fabian and Belzig, Wolfgang and Rastelli, Gianluca}, note={Article Number: L241407} }
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