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Entanglement between atomic condensates in an optical lattice: effects of interaction range

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arxiv quant-ph/0606110 v2 pith:QOK3NMKH submitted 2006-06-13 quant-ph cond-mat.stat-mech

Entanglement between atomic condensates in an optical lattice: effects of interaction range

classification quant-ph cond-mat.stat-mech
keywords latticecondensatesentanglementbose-einsteinentropyinteractionnearestneighbors
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the area-dependent entropy and two-site entanglement for two state Bose-Einstein condensates in a 2D optical lattice. We consider the case where the array of two component condensates behave like an ensemble of spin-half particles with the interaction to its nearest neighbors and next nearest neighbors. We show how the Hamiltonian of their Bose-Einstein condensate lattice with nearest-neighbor and next-nearest-neighbor interactions can be mapped into a harmonic lattice. We use this to determine the entropy and entanglement content of the lattice.

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