Classifying Vortices in S=3 Bose-Einstein Condensates

Details Classifying Vortices in S=3 Bose-Einstein Condensates Classifying Vortices in S=3 Bose-Einstein Condensates

2006-11-09

arxiv.org/abs/cond-mat/0611230v3

Phys. Rev. A 76, 013605 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevA.76.013605

Motivated by the recent realization of a $^{52}$Cr Bose-Einstein condensate, we consider the phase diagram of a general spin-three condensate as a function of its scattering lengths. We classify each phase according to its ``reciprocal spinor,'' using a method developed in a previous work. We show that such a classification can be naturally extended to describe the vortices for a spinor condensate by using the topological theory of defects. To illustrate, we systematically describe the types of vortex excitations for each phase of the spin-three condensate.

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