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Bi-partite mode entanglement of bosonic condensates on tunneling graph

Paolo Zanardi
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Abstract

We study a set of $L$ spatial bosonic modes localized on a graph $Γ.$ The particles are allowed to tunnel from vertex to vertex by hopping along the edges of $Γ.$ 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 $Γ.$

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Paolo Zanardi. 2002-12-20. Bi-partite mode entanglement of bosonic condensates on tunneling graph. https://doi.org/10.1103/physreva.67.054301

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