TY - JOUR
T1 - Multiorbital mean-field approach for bosons, spinor bosons, and Bose-Bose and Bose-Fermi mixtures in real-space optical lattices
AU - Alon, Ofir E.
AU - Streltsov, Alexej I.
AU - Cederbaum, Lorenz S.
PY - 2007/7/12
Y1 - 2007/7/12
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=34547202443&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.76.013611
DO - 10.1103/PhysRevA.76.013611
M3 - Article
AN - SCOPUS:34547202443
SN - 1050-2947
VL - 76
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 1
M1 - 013611
ER -