AI 中文总结
研究通过多间隙裂环谐振器架构连接分布式量子材料，利用腔真空涨落介导相互作用，实现远程库珀对和安德列夫量子隐形传态，证明纠缠熵与晶格面积成线性关系，为介观物质平衡量子网络提供新范式。
AI 中文摘要
我们引入一种架构，其中分布在空间分离节点上的介观量子物质可在平衡状态下相关联，创建一种前所未有的多体量子系统形式。设计的核心是多间隙裂环谐振器（SRR），其腔光子有多个热点，每个热点在分裂间隙处具有深亚波长体积且相隔毫米级距离。腔的真空涨落可介导多体相互作用，连接嵌入多个间隙的分布式量子材料，使其耦合成单个平衡的相关介观系统。以具有两个分裂间隙的太赫兹SRR为例，每个间隙靠近金属莫尔超晶格，腔真空中光子的虚拟交换介导间隙间的电流 - 电流相互作用。固有的吸引相互作用通道导致类似于介观超导性的远程库珀对，通过密度矩阵重整化群和精确对角化计算得以证明。由于库珀对的两个组成部分现在在毫米级距离上配对，一个在一个分裂间隙入射的空穴可在远程间隙转换为出射电子，此过程称为安德列夫量子隐形传态。两个介观超晶格之间的纠缠熵与介观晶格的面积（总位点数）成线性比例。我们的结果为介观物质的平衡量子网络提出了一个有趣的范式，可实现涌现的非局部功能和分布式量子资源。
英文摘要
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 moiré 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.
