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Phys. Rev. A 67, 054301 (2003) [4 pages]

Bipartite mode entanglement of bosonic condensates on tunneling graphs

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Paolo Zanardi
Institute for Scientific Interchange (ISI) Foundation, Viale Settimio Severo 65, I-10133 Torino, Italy
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Received 20 December 2002; published 20 May 2003

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 bipartite quantum entanglement of a graph vertex with respect to the rest of the graph depends on the topology of Γ.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.67.054301
DOI:
10.1103/PhysRevA.67.054301
PACS:
03.67.-a