Cold atoms in real-space optical lattices

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dc.creatorAlon, Ofir E.
dc.creatorStreltsov, Alexej I.
dc.creatorCederbaum, Lorenz S.
dc.date2006-12-06
dc.date.accessioned2026-07-07T08:21:08Z
dc.date.available2026-07-07T08:21:08Z
dc.descriptionCold atoms in optical lattices are described in {\it real space} by multi-orbital mean-field Ansätze. In this work we consider four typical systems: (i) spinless identical bosons, (ii) spinor identical bosons (iii), Bose-Bose mixtures, and (iv) Bose-Fermi mixtures and derive in each case the corresponding multi-orbital mean-field energy-functional and working equations. The notions of {\it dressed} Wannier functions and Wannier spinors are introduced and the equations defining them are presented and discussed. The dressed Wannier functions are the set of orthogonal, translationally-equivalent orbitals which minimizes the energy of the Hamiltonian including boson-boson (particle-particle) interactions. Illustrative examples of dressed Wannier functions are provided for spinless bosonic atoms and mixtures in one-dimensional optical lattices.
dc.description27 pages, 4 figures; [version minus figures published]
dc.identifierhttps://arxiv.org/abs/cond-mat/0612170
dc.identifierhttp://arxiv.org/abs/cond-mat/0612170
dc.identifierPhys. Rev. A 76, 013611 (2007)
dc.identifierdoi:10.1103/PhysRevA.76.013611
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135268
dc.subjectOther Condensed Matter
dc.titleCold atoms in real-space optical lattices
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