Bi-partite mode entanglement of bosonic condensates on tunneling graph

Abstract

We study a set of L spatial bosonic modes localized on a graph . The particles are allowed to tunnel from vertex to vertex by hopping along the edges of . We analyze how, in the exact many-body eigenstates of the system i.e., Bose-Einstein condensates over single-particle eigenfunctions, the bi-partite quantum entanglement of a lattice vertex with respect to the rest of the graph depends on the topology of .

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