We describe an approach for finding the number squeezing for arrays of atoms in an optical lattice. It is based on a straightforward extension of the Bogoliubov method. We discuss the conditions for optimizing squeezing and how to predict what will be obtained in a given experiment. We consider using the method to deal with finite temperatures. The method also appears to be extensible to inhomogeneous and time-dependent systems.
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Burnett et al. (2002) studied this question.
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