Theory of correlations between ultra-cold bosons released from an optical lattice

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dc.creatorToth, E.
dc.creatorRey, A. M.
dc.creatorBlakie, P. B.
dc.date2008-03-20
dc.date2008-07-12
dc.date.accessioned2026-07-07T09:51:58Z
dc.date.available2026-07-07T09:51:58Z
dc.descriptionIn 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.
dc.description18 pages, 11 figures. To appear in Phys. Rev. A. (few minor changes made and typos fixed)
dc.identifierhttps://arxiv.org/abs/0803.2922
dc.identifierhttp://arxiv.org/abs/0803.2922
dc.identifierPhys. Rev. A 78, 013627 (2008)
dc.identifierdoi:10.1103/PhysRevA.78.013627
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165430
dc.subjectOther Condensed Matter
dc.titleTheory of correlations between ultra-cold bosons released from an optical lattice
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