HalfSkyrmions and spikevortex solutions of twocomponent nonlinear Schroedinger systems
Abstract
Recently, Skyrmions with integer topological charges have been observed numerically but have not yet been shown rigorously on twocomponent systems of nonlinear Schroedinger equations (NLSEs) describing a binary mixture of BoseEinstein condensates [see Battye et al., Phys. Rev. Lett. 88, 080401 (2002) and Savage and Ruostekoski, Phys. Rev. Lett. 91, 010403 (2003)] Besides, halfSkyrmions characterized by halfinteger topological charges can also be found in the nonlinear {sigma} model which is a model of the BoseEinstein condensate of the Schwinger bosons [see Morinari, Phys. Rev. B 72, 104502 (2005)]. Here we prove rigorously the existence of halfSkyrmions which may come from a new type of soliton solutions called spikevortex solutions of twocomponent systems of NLSE on the entire plane R{sup 2}. These spikevortex solutions having spikes in one component and a vortex in the other component may form halfSkyrmions. By LiapunovSchmidt reduction process, we may find spikevortex solutions of twocomponent systems of NLSE.
 Authors:
 Department of Mathematics, National Taiwan University, Taipei 106, Taiwan (China) and National Center of Theoretical Sciences, National Tsing Hua University, Hsinchu, Taiwan 30043 (China)
 (China)
 Publication Date:
 OSTI Identifier:
 20929726
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Journal of Mathematical Physics; Journal Volume: 48; Journal Issue: 5; Other Information: DOI: 10.1063/1.2722559; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AXIOMATIC FIELD THEORY; BINARY MIXTURES; BOSEEINSTEIN CONDENSATION; BOSONS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; SCHROEDINGER EQUATION; SCHWINGER SOURCE THEORY; SIGMA MODEL; SKYRME POTENTIAL; SOLITONS; TOPOLOGY
Citation Formats
Lin, T.C., Wei Juncheng, and Department of Mathematics, hinese University of Hong Kong, Shatin, Hong Kong. HalfSkyrmions and spikevortex solutions of twocomponent nonlinear Schroedinger systems. United States: N. p., 2007.
Web. doi:10.1063/1.2722559.
Lin, T.C., Wei Juncheng, & Department of Mathematics, hinese University of Hong Kong, Shatin, Hong Kong. HalfSkyrmions and spikevortex solutions of twocomponent nonlinear Schroedinger systems. United States. doi:10.1063/1.2722559.
Lin, T.C., Wei Juncheng, and Department of Mathematics, hinese University of Hong Kong, Shatin, Hong Kong. Tue .
"HalfSkyrmions and spikevortex solutions of twocomponent nonlinear Schroedinger systems". United States.
doi:10.1063/1.2722559.
@article{osti_20929726,
title = {HalfSkyrmions and spikevortex solutions of twocomponent nonlinear Schroedinger systems},
author = {Lin, T.C. and Wei Juncheng and Department of Mathematics, hinese University of Hong Kong, Shatin, Hong Kong},
abstractNote = {Recently, Skyrmions with integer topological charges have been observed numerically but have not yet been shown rigorously on twocomponent systems of nonlinear Schroedinger equations (NLSEs) describing a binary mixture of BoseEinstein condensates [see Battye et al., Phys. Rev. Lett. 88, 080401 (2002) and Savage and Ruostekoski, Phys. Rev. Lett. 91, 010403 (2003)] Besides, halfSkyrmions characterized by halfinteger topological charges can also be found in the nonlinear {sigma} model which is a model of the BoseEinstein condensate of the Schwinger bosons [see Morinari, Phys. Rev. B 72, 104502 (2005)]. Here we prove rigorously the existence of halfSkyrmions which may come from a new type of soliton solutions called spikevortex solutions of twocomponent systems of NLSE on the entire plane R{sup 2}. These spikevortex solutions having spikes in one component and a vortex in the other component may form halfSkyrmions. By LiapunovSchmidt reduction process, we may find spikevortex solutions of twocomponent systems of NLSE.},
doi = {10.1063/1.2722559},
journal = {Journal of Mathematical Physics},
number = 5,
volume = 48,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}

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