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Title: Entanglement in the Bogoliubov vacuum

Journal Article · · Physical Review. A
 [1];  [2];  [2]
  1. Dipartimento di Fisica, Universita di Trento, Via Sommarive 14, I-38050 Povo, TN (Italy)
  2. Institut fuer Theoretische Physik, Universitaet Hannover, Appelstrasse 2, D-30167 Hannover (Germany)

We analyze the entanglement properties of the Bogoliubov vacuum, which is obtained as a second-order approximation to the ground state of an interacting Bose-Einstein condensate. We work on one- and two-dimensional lattices and study the entanglement between two groups of lattice sites as a function of the geometry of the configuration and the strength of the interactions. As our measure of entanglement we use the logarithmic negativity, supplemented by an algorithmic check [G. Giedke et al., Phys. Rev. Lett. 87, 167904 (2001)] for bound entanglement where appropriate. The short-range entanglement is found to grow approximately linearly with the group sizes and to be favored by strong interactions. Conversely, long-range entanglement is favored by relatively weak interactions. No examples of bound entanglement are found.

OSTI ID:
20717947
Journal Information:
Physical Review. A, Vol. 71, Issue 6; Other Information: DOI: 10.1103/PhysRevA.71.063605; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
Country of Publication:
United States
Language:
English

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