Pseudo-potential treatment of two aligned dipoles under external harmonic confinement

Details Pseudo-potential treatment of two aligned dipoles under external harmonic confinement Pseudo-potential treatment of two aligned dipoles under external harmonic confinement

2007-01-18

arxiv.org/abs/physics/0701217v1

Physics

Atomic Physics

9 pages, 4 figures

Scientific paper

10.1103/PhysRevA.75.052705

Dipolar Bose and Fermi gases, which are currently being studied extensively experimentally and theoretically, interact through anisotropic, long-range potentials. Here, we replace the long-range potential by a zero-range pseudo-potential that simplifies the theoretical treatment of two dipolar particles in a harmonic trap. Our zero-range pseudo-potential description reproduces the energy spectrum of two dipoles interacting through a shape-dependent potential under external confinement very well, provided that sufficiently many partial waves are included, and readily leads to a classification scheme of the energy spectrum in terms of approximate angular momentum quantum numbers. The results may be directly relevant to the physics of dipolar gases loaded into optical lattices.

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