Atom-number squeezing and bipartite entanglement of two-component Bose-Einstein condensates: analytical results

Abstract

We investigate spin dynamics of a two-component Bose-Einstein condensates with weak Josephson coupling. Analytical expressions of atom-number squeezing and bipartite entanglement are presented for atom-atom repulsive interactions. For attractive interactions, there is no number squeezing; however, the squeezing parameter is still useful to recognize the appearance of Schr\"odinger's cat state.

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