Classifying novel phases of spinor atoms

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Title: Classifying novel phases of spinor atoms
Authors: Barnett, R
Turner, A
Demler, E
Item Type: Journal Article
Abstract: We consider many-body states of bosonic spinor atoms which, at the mean-field level, can be characterized by a single-particle wave function for the Bose-Einstein condensation and Mott insulating states. We describe and apply a classification scheme that makes explicit the 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. We apply the method to the many-body states of bosons with 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.
Issue Date: 3-Nov-2006
Date of Acceptance: 1-Nov-2006
ISSN: 0031-9007
Publisher: American Physical Society
Journal / Book Title: Physical Review Letters
Volume: 97
Issue: 18
Copyright Statement: © 2006 American Physical Society
Keywords: Science & Technology
Physical Sciences
Physics, Multidisciplinary
02 Physical Sciences
General Physics
Publication Status: Published
Article Number: 180412
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences

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