Effective field theory for spinor dipolar Bose Einstein condensates

Abstract

We show that the effective theory of long wavelength low energy behavior of a dipolar Bose-Einstein condensate(BEC) with large dipole moments (treated as a classical spin) can be modeled using an extended Non-linear sigma model (NLSM) like energy functional with an additional non-local term that represents long ranged anisotropic dipole-dipole interaction. Minimizing this effective energy functional we calculate the density and spin-profile of the dipolar Bose-Einstein condensate in the mean-field regime for various trapping geometries. The resulting configurations show strong intertwining between the spin and mass density of the condensate, transfer between spin and orbital angular momentum in the form of Einstein-de Hass effect, and novel topological properties. We have also described the theoretical framework in which the collective excitations around these mean field solutions can be studied and discuss some examples qualitatively.

Latex + 3 eps figures, accepted for publication in a special issue of EPJB on "Novel Quantum Phases and Mesoscopic Physics in Quantum Gases"

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Cited by in corpus (3)

• Dipolar and spinor bosonic systems
• Interaction induced ferro-electricity in the rotational states of polar molecules
• Spin textures in condensates with large dipole moments