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Title: Classification of the ground states and topological defects in a rotating two-component Bose-Einstein condensate

Abstract

We classify the ground states and topological defects of a rotating two-component condensate when varying several parameters: the intracomponent coupling strengths, the intercomponent coupling strength, and the particle numbers. No restriction is placed on the masses or trapping frequencies of the individual components. We present numerical phase diagrams which show the boundaries between the regions of coexistence, spatial separation, and symmetry breaking. Defects such as triangular coreless vortex lattices, square coreless vortex lattices, and giant skyrmions are classified. Various aspects of the phase diagrams are analytically justified thanks to a nonlinear {sigma} model that describes the condensate in terms of the total density and a pseudo-spin representation.

Authors:
 [1];  [2];  [3]
  1. Laboratoire de Physique Statistique, Ecole Normale Superieure, UPMC Paris 06, Universite Paris Diderot, CNRS, 24 rue Lhomond, F-75005 Paris (France)
  2. (France)
  3. CNRS and Universite Versailles-Saint-Quentin-en-Yvelines, Laboratoire de Mathematiques de Versailles, CNRS UMR 8100, 45 avenue des Etats-Unis, F-78035 Versailles Cedex (France)
Publication Date:
OSTI Identifier:
22068756
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; BOSE-EINSTEIN CONDENSATION; CONDENSATES; COUPLING; DEFECTS; DENSITY; GROUND STATES; MASS; NONLINEAR PROBLEMS; PHASE DIAGRAMS; SKYRME POTENTIAL; SOLITONS; SPIN; SYMMETRY BREAKING; TOPOLOGY; TRAPPING; VORTICES

Citation Formats

Mason, Peter, Institut Jean Le Rond D'Alembert, UMR 7190 CNRS-UPMC, 4 place Jussieu, F-75005 Paris, and Aftalion, Amandine. Classification of the ground states and topological defects in a rotating two-component Bose-Einstein condensate. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.033611.
Mason, Peter, Institut Jean Le Rond D'Alembert, UMR 7190 CNRS-UPMC, 4 place Jussieu, F-75005 Paris, & Aftalion, Amandine. Classification of the ground states and topological defects in a rotating two-component Bose-Einstein condensate. United States. doi:10.1103/PHYSREVA.84.033611.
Mason, Peter, Institut Jean Le Rond D'Alembert, UMR 7190 CNRS-UPMC, 4 place Jussieu, F-75005 Paris, and Aftalion, Amandine. Thu . "Classification of the ground states and topological defects in a rotating two-component Bose-Einstein condensate". United States. doi:10.1103/PHYSREVA.84.033611.
@article{osti_22068756,
title = {Classification of the ground states and topological defects in a rotating two-component Bose-Einstein condensate},
author = {Mason, Peter and Institut Jean Le Rond D'Alembert, UMR 7190 CNRS-UPMC, 4 place Jussieu, F-75005 Paris and Aftalion, Amandine},
abstractNote = {We classify the ground states and topological defects of a rotating two-component condensate when varying several parameters: the intracomponent coupling strengths, the intercomponent coupling strength, and the particle numbers. No restriction is placed on the masses or trapping frequencies of the individual components. We present numerical phase diagrams which show the boundaries between the regions of coexistence, spatial separation, and symmetry breaking. Defects such as triangular coreless vortex lattices, square coreless vortex lattices, and giant skyrmions are classified. Various aspects of the phase diagrams are analytically justified thanks to a nonlinear {sigma} model that describes the condensate in terms of the total density and a pseudo-spin representation.},
doi = {10.1103/PHYSREVA.84.033611},
journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 84,
place = {United States},
year = {2011},
month = {9}
}