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The Bogoliubov approach to number squeezing of atoms in an optical lattice Export

by: Keith Burnett, Mark Edwards, Charles W. Clark, Martin Shotter
Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 35, No. 7. (2002), pp. 1671-1678.

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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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