Phase characterization of spinor Bose-Einstein condensates: a Majorana
stellar representation approach
- URL: http://arxiv.org/abs/2211.16428v3
- Date: Sun, 11 Jun 2023 16:48:46 GMT
- Title: Phase characterization of spinor Bose-Einstein condensates: a Majorana
stellar representation approach
- Authors: E. Serrano-Ens\'astiga, F. Mireles
- Abstract summary: We study the variational perturbations for the mean-field solution of an interacting spinor system with underlying rotational symmetries.
An approach based upon the Majorana stellar representation for mixed states and group theory is introduced to this end.
We apply it to characterize the phases of a spin-1 Bose-Einstein condensate and to study the behavior of these phases with entropy.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the variational perturbations for the mean-field solution of an
interacting spinor system with underlying rotational symmetries. An approach
based upon the Majorana stellar representation for mixed states and group
theory is introduced to this end. The method reduces significantly the unknown
degrees of freedom of the perturbation, allowing us a simplified and direct
exploration on emergent physical phenomena. We apply it to characterize the
phases of a spin-1 Bose-Einstein condensate and to study the behavior of these
phases with entropy. The spin-2 phase diagram was also investigated within the
Hartree-Fock approximation, where a non-linear deviation of the cyclic-nematic
phase boundary with temperature is predicted.
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