2006/12/06 by Ofir E. Alon, Alexej I. Streltsov, Lorenz S. Cederbaum · 1 citation
Chemistry · Physics and Astronomy · #Bose–Einstein condensate #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fermi Gamma-ray Space Telescope #Field (mathematics) #Mean field theory #Physics #Quantum mechanics #Quantum optics and atomic interactions #Space (punctuation) #Spectroscopy and Laser Applications #Spinor #Symmetry (geometry) #Symmetry breaking #Translational symmetry #cond-mat.other
paper · pdf · doi:10.1103/physreva.76.013611
published as Phys. Rev. A 76, 013611 (2007) · 27 pages, 4 figures; [version minus figures published]
arxiv created 2006/12/06 · openalex publication_date 2007/07/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Cold atoms in optical lattices are described in real space by the multiorbital mean-field approach. 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 multiorbital mean-field energy functional and working equations. The general equations as well as those obtained by explicitly utilizing the translational symmetry of lattices are presented. We discuss the effects of particle-particle interactions and translational symmetry on properties of the solutions.