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

H. T. Ng·K. Burnett
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Abstract

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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H. T. Ng, K. Burnett. 2006-06-13. Entanglement between atomic condensates in an optical lattice: effects of interaction range. https://doi.org/10.1103/physreva.75.023601

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