Circuit quantum electrodynamics (cQED) systems represent an important platform to study light-matter interaction at the nanoscale. However, an all-electrical scheme for photon statistics engineering in cQED, has so far not been established. Here, we propose a generation scheme of arbitrary photon statistics, based on current-driven joint interference effect in a three-body setup with one biased double quantum dot capacitively coupled to two microwave cavities. Antibunched, bunched, superthermal, and coherent photon emissions can be achieved and regulated by tuning inelastic electron tunneling processes. Generation of quantum correlation between cavities, indicated by the violation of classical Cauchy-Schwarz inequality, and quantum to classical transition can be further observed. Our scheme, proposed in a three-body cQED, can be extended toward many-body systems, as verified in a four-body setup.

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• Circuit quantum electrodynamics
• Light-matter interaction
• Photon statistics
• Quantum optics
• Quantum transport
• Quantum-to-classical transition
• Nonequilibrium systems
• Quantum cavities
• Master equation