Physics – Quantum Physics
Scientific paper
2002-12-20
Phys. Rev. A 67, 054301 (2003)
Physics
Quantum Physics
3 Pages LaTeX, 2 Figures included
Scientific paper
10.1103/PhysRevA.67.054301
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 $\Gamma.$
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