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Skyrmion in spinor condensates and its stability in trap potentials
| Title: | Skyrmion in spinor condensates and its stability in trap potentials |
| Authors: | Tokuno, A. Browse this author | | Mitamura, Y. Browse this author | | Oshikawa, M. Browse this author | | Herbut, I. F. Browse this author |
| Keywords: | Bose-Einstein condensation | | ground states | | skyrmions | | SU(2) theory |
| Issue Date: | May-2009 |
| Publisher: | American Physical Society |
| Journal Title: | Physical Review A |
| Volume: | 79 |
| Issue: | 5 |
| Start Page: | 053626 |
| Publisher DOI: | 10.1103/PhysRevA.79.053626 |
| Abstract: | A necessary condition for the existence of a skyrmion in two-component Bose-Einstein condensates with SU(2) symmetry was recently provided by two of the authors [I. F. Herbut and M. Oshikawa, Phys. Rev. Lett. 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 ～10^4. |
| Rights: | © 2009 The American Physical Society |
| Type: | article |
| URI: | http://hdl.handle.net/2115/38745 |
| Appears in Collections: | 工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 得能 光行
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