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

References in corpus (4)

• Classifying Novel Phases of Spinor Atoms
• Classifying Vortices in S=3 Bose-Einstein Condensates
• Symmetry and inert states of spin Bose Condensates
• Ground states of spin-3 Bose-Einstein condensates for conserved magnetization