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arXiv · 2607.18916

Bridging distributed quantum materials via multi-hotspot vacuum: remote Cooper pairing and Andreev teleportation

Abstract

We introduce an architecture where mesoscopic quantum matter distributed over spatially separated nodes can be correlated in equilibrium, creating an unprecedented form of many-body quantum system. Central to the design is a multi-gap split-ring resonator (SRR) where the cavity photon has multiple hot spots -- each with deep-subwavelength volume at a split gap and separated by millimeter-scale distances. The cavity's vacuum fluctuations can then mediate a many-body interaction that bridges the distributed quantum materials embedded in the multiple gaps, coupling them into a single correlated mesoscopic system in equilibrium. As an example, we consider a THz SRR with two split gaps, each proximitized to a metallic moir\'e superlattice, where virtual exchange of a photon in the cavity vacuum mediates a current-current interaction across the gaps. The inherent attractive interaction channels lead to remote Cooper pairing reminiscent of mesoscopic superconductivity, demonstrated with density matrix renormalization group and exact diagonalization calculations. With the two constituents of a Cooper pair now paired across a millimeter-scale separation, a hole incident at one split gap can be converted into an outgoing electron at the remote gap, a process we term Andreev teleportation. The entanglement entropy between the two mesoscopic superlattices is shown to scale linearly with the area (total number of sites) of the mesoscopic lattice. Our results suggest an intriguing paradigm for equilibrium quantum networks of mesoscopic matter that enable emergent nonlocal functionalities and distributed quantum resources.

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Zuzhang Lin, Zhijian Song, Chengxin Xiao, Wang Yao. 2026-07-21. Bridging distributed quantum materials via multi-hotspot vacuum: remote Cooper pairing and Andreev teleportation. https://arxiv.org/abs/2607.18916

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