Abstract
The squeezing and entanglement properties of a one-component Bose-Einstein condensate trapped in optical lattices are theoretically studied. A two-mode squeezing parameter for the system is found, which is identical with Einstein-Podolsky-Rosen correlation, indicating the quantum correlation between excitation modes. Its dynamics and relation to the Hamiltonian parameters are quantitatively shown, and some constructive relation between squeezing and condensation is pointed out. For entanglement, the entanglement of formation of the two-mode system is also presented. For the probing of such a correlation, relevant experimental issues about atom shot noise are also discussed.
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