Inert states of spin-S systems

Abstract

We present a simple but efficient geometrical method for determining the inert states of spin-S systems. It can be used if the system is described by a spin vector of a spin-S particle and its energy is invariant in spin rotations and phase changes. Our method is applicable to an arbitrary S and it is based on the representation of a pure spin state of a spin-S particle in terms of 2S points on the surface of a sphere. We use this method to find candidates for some of the ground states of spinor Bose-Einstein condensates.

4 pages, 2 figures, minor changes, references added, typos corrected

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• An alternative representation for pure symmetric states of qubits and its applications to entanglement classification
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• The Local Spin Structure of Large Spin Fermions
• Geometry of pure states of N spin-J system
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• Orthonormal bases of extreme quantumness
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• Berry phases of higher spins due to internal geometry of Majorana constellation and relation to quantum entanglement
• Phase characterization of spinor Bose-Einstein condensates: a Majorana stellar representation approach
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