Bi-partite mode entanglement of bosonic condensates on tunneling graph

Abstract

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

arXiv comment3 Pages LaTeX, 2 Figures included

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Cited by in corpus (6)

• Entanglement in indistinguishable particle systems
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• Entanglement of eta-pairing state with off-diagonal long-range order
• Mode Entanglement and Entangling power in Bosonic Graphs
• Ground-State Entanglement in Interacting Bosonic Graphs
• Relation between two measures of entanglement in spin-1/2 and spinless fermion quantum chain systems