Classifying Novel Phases of Spinor Atoms

Details Classifying Novel Phases of Spinor Atoms Classifying Novel Phases of Spinor Atoms

2006-07-10

arxiv.org/abs/cond-mat/0607253v4

Phys. Rev. Lett. 97, 180412 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

Added references, corrected typos, minor changes in text

Scientific paper

10.1103/PhysRevLett.97.180412

We consider many-body states of bosonic spinor atoms which, at the mean-field level, can be characterized by a single-particle wave function. Such states include BEC phases and insulating Mott states with one atom per site. We describe and apply a classification scheme that makes explicit spin symmetries of such states and enables one to naturally analyze their collective modes and topological excitations. Quite generally, the method allows classification of a spin F system as a polyhedron with 2F vertices. After discussing the general formalism we apply it to the many-body states of bosons with hyperfine spins two and three. For spin-two atoms we find the ferromagnetic state, a continuum of nematic states, and a state having the symmetry of the point group of the regular tetrahedron. For spin-three atoms we obtain similar ferromagnetic and nematic phases as well as states having symmetries of various types of polyhedra with six vertices: the hexagon, the pyramid with pentagonal base, the prism, and the octahedron.

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