Phase characterization of spinor Bose-Einstein condensates: A Majorana stellar representation approach

Majorana stellar representation; Rotational symmetries; Spinor Bose-Einstein condensates; Variational perturbations; Bose-Einstein condensates; Majorana; Majoranum stellar representation; Mean-field solution; Phase characterization; Spinor bose-einstein condensate; Spinors; Stellars; Variational perturbation; Physics and Astronomy (all); cond-mat.quant-gas; Quantum Physics

Abstract :

[en] 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.

Disciplines :

Physics

Author, co-author :

Serrano Ensástiga, Eduardo ; Université de Liège - ULiège > Complex and Entangled Systems from Atoms to Materials (CESAM) ; Departamento de Física, Centro de Nanociencias y Nanotecnología, Universidad Nacional Autónoma de México, Ensenada, Mexico

Mireles, Francisco; Departamento de Física, Centro de Nanociencias y Nanotecnología, Universidad Nacional Autónoma de México, Ensenada, Mexico

Language :

English

Title :

Phase characterization of spinor Bose-Einstein condensates: A Majorana stellar representation approach

Publication date :

28 December 2023

Journal title :

Physics Letters A

ISSN :

0375-9601

eISSN :

1873-2429

Publisher :

Elsevier B.V.

Volume :

492

Pages :

129188

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://api.elsevier.com/content/article/PII:S0375960123005686?httpAccept=text/xml

Funders :

ULiège - Université de Liège
UNAM - Universidad Nacional Autónoma de México

Funding text :

E.S.-E. acknowledges support from the postdoctoral fellowships offered by DGAPA-UNAM and the IPD-STEMA program of the University of Liège . F.M. acknowledges the support of DGAPA-UNAM through the project PAPIIT No. IN113920 .

Available on ORBi :

since 22 December 2025

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