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The European Physical Journal B

, Volume 68, Issue 3, pp 391–400 | Cite as

Effective field theory for spinor dipolar Bose Einstein condensates

  • M. Takahashi
  • S. GhoshEmail author
  • T. Mizushima
  • K. Machida
Article

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.

PACS

03.75.Mn Multicomponent condensates; spinor condensates 03.75.Hh Static properties of condensates; thermodynamical, statistical, and structural properties 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • M. Takahashi
    • 1
  • S. Ghosh
    • 2
    Email author
  • T. Mizushima
    • 1
  • K. Machida
    • 1
  1. 1.Department of PhysicsOkayama UniversityOkayamaJapan
  2. 2.Department of PhysicsIndian Institute of TechnologyNew DelhiIndia

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