Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2008-03-20
Phys. Rev. A 78, 013627 (2008)
Physics
Condensed Matter
Other Condensed Matter
18 pages, 11 figures. To appear in Phys. Rev. A. (few minor changes made and typos fixed)
Scientific paper
10.1103/PhysRevA.78.013627
In this paper we develop a theoretical description of the correlations between ultra-cold bosons after free expansion from confinement in an optical lattice. We consider the system evolution during expansion and give criteria for a far field regime. We develop expressions for first and second order two-point correlations based on a variety of commonly used approximations to the many-body state of the system including Bogoliubov, meanfield decoupling, and particle-hole perturbative solution about the perfect Mott-insulator state. Using these approaches we examine the effects of quantum depletion and pairing on the system correlations. Comparison with the directly calculated correlation functions is used to justify a Gaussian form of our theory from which we develop a general three-dimensional formalism for inhomogeneous lattice systems suitable for numerical calculations of realistic experimental regimes.
Blakie Blair P.
Rey Ana Maria
Toth E.
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