Inert-states of spin-5 and spin-6 Bose-Einstein condensates

TL;DR

This paper classifies all inert-states of spin-5 and spin-6 Bose-Einstein condensates, revealing states that remain stationary despite changes in Hamiltonian parameters, based on symmetry and Michel's theorem.

Contribution

It provides a comprehensive calculation and classification of inert-states for high-spin Bose-Einstein condensates using symmetry analysis and Michel's theorem.

Findings

Identification of all inert-states for spin-5 and spin-6 condensates.

Application of symmetry classification via polyhedral models.

Demonstration of inert-states' stability under parameter variations.

Abstract

In this paper we consider spinor Bose-Einstein condensates with spin f=5 and f=6 in the presence and absence of external magnetic field at the mean field level. We calculate all of so-called inert-states of these systems. Inert-states are very unique class of stationary states because they remain stationary while Hamiltonian parameters change. Their existence comes from Michel's theorem. For illustration of symmetry properties of the inert-states we use method that allows classification of the systems as a polyhedron with 2f vertices proposed by R. Barnett et al., Phys. Rev. Lett. 97, 180412 (2006).