Skyrmion in spinor condensates and its stability in trap potentials

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dc.creatorTokuno, Akiyuki
dc.creatorMitamura, Yohei
dc.creatorOshikawa, Masaki
dc.creatorHerbut, Igor F.
dc.date2008-12-15
dc.date2009-05-19
dc.date.accessioned2026-07-07T13:15:47Z
dc.date.available2026-07-07T13:15:47Z
dc.descriptionA necessary condition for the existence of a skyrmion in two-component Bose-Einstein condensates with $\mathrm{SU(2)}$ symmetry was recently provided by two of the authors [Phys. Rev. Lett. {\bf 97}, 080403 (2006)], by mapping the problem to a classical particle in a potential subject to time-dependent dissipation. Here we further elaborate this approach. For two classes of models, we demonstrate the existence of the critical dissipation strength above which the skyrmion solution does not exist. Furthermore, we discuss the local stability of the skyrmion solution by considering the second-order variation. A sufficient condition for the local stability is given in terms of the ground-state energy of a one-dimensional quantum-mechanical Hamiltonian. This condition requires a minimum number of bosons, for a certain class of the trap potential. In the optimal case, the minimum number of bosons can be as small $\sim 10^4$.
dc.description12 pages, 9 figures, final version
dc.identifierhttps://arxiv.org/abs/0812.2736
dc.identifierhttp://arxiv.org/abs/0812.2736
dc.identifierPhys. Rev. A 79, 053626 (2009)
dc.identifierdoi:10.1103/PhysRevA.79.053626
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230580
dc.subjectOther Condensed Matter
dc.subjectStatistical Mechanics
dc.titleSkyrmion in spinor condensates and its stability in trap potentials
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