Mean-field approach to dipole-dipole interaction in an optical lattice

Year: 1999

Authors: Menotti C., Ritsch H.

Autors Affiliation: Scuola Normale Super Pisa, I-56126 Pisa, Italy; Univ Pisa, Dipartimento Fis, Unita INFM, I-56126 Pisa, Italy; Univ Innsbruck, Inst Theoret Phys, A-6020 Innsbruck, Austria.

Abstract: We compare the influence of quantum statistics and atom-atom interaction in bright and dark one-dimensional optical lattices for atoms using quantum rate equations. Via a Hartree-Fock-type mean-field approach we derive an effective nonlinear single-atom equation and solve it self-consistently for a prescribed atomic density. Using a simplified dipole-dipole interaction potential, we show that the atomic energy bands are very sensitive to the mean atomic density, even in a parameter regime where temperature and band populations exhibit only a very small density dependence. Bright lattices show energy shifts towards smaller band separations, while the effect is in the opposite direction and smaller for dark lattices. In general, dipole-dipole interaction strongly dominates the influence of quantum statistics, except for very large detunings, where the spontaneous emission rate is very small. [S1050-2947(99)51610-7].

Journal/Review: PHYSICAL REVIEW A

Volume: 60 (4)      Pages from: R2653  to: R2656

KeyWords: Nonlinear Atom Optics; Cold Cesium Atoms; Trapping Atoms; Spatial Order; Light; Equations; Molasses; Dynamics; Motion
DOI: 10.1103/PhysRevA.60.R2653

Citations: 7
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