Collective modes of vortex lattices in two-component Bose–Einstein condensates under synthetic gauge fields
We study collective modes of vortex lattices in two-component Bose–Einstein condensates subject to synthetic magnetic fields in mutually parallel or antiparallel directions. By means of the Bogoliubov theory with the lowest-Landau-level approximation, we numerically calculate the excitation spectra...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2019-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/aaf373 |
| _version_ | 1797750242913812480 |
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| author | Takumi Yoshino Shunsuke Furukawa Sho Higashikawa Masahito Ueda |
| author_facet | Takumi Yoshino Shunsuke Furukawa Sho Higashikawa Masahito Ueda |
| author_sort | Takumi Yoshino |
| collection | DOAJ |
| description | We study collective modes of vortex lattices in two-component Bose–Einstein condensates subject to synthetic magnetic fields in mutually parallel or antiparallel directions. By means of the Bogoliubov theory with the lowest-Landau-level approximation, we numerically calculate the excitation spectra for a rich variety of vortex lattices that appear commonly for parallel and antiparallel synthetic fields. We find that in all of these cases there appear two distinct modes with linear and quadratic dispersion relations at low energies, which exhibit anisotropy reflecting the symmetry of each lattice structure. Remarkably, the low-energy spectra for the two types of fields are found to be related to each other by simple rescaling when vortices in different components overlap owing to an intercomponent attraction. These results are consistent with an effective field theory analysis. However, the rescaling relations break down for interlaced vortex lattices appearing with an intercomponent repulsion, indicating a nontrivial effect of an intercomponent vortex displacement beyond the effective field theory. We also find that high-energy parts of the excitation bands exhibit line or point nodes as a consequence of a fractional translation symmetry present in some of the lattice structures. |
| first_indexed | 2024-03-12T16:29:48Z |
| format | Article |
| id | doaj.art-ca1a854d867c47879a774fdd7c44e245 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:29:48Z |
| publishDate | 2019-01-01 |
| publisher | IOP Publishing |
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| series | New Journal of Physics |
| spelling | doaj.art-ca1a854d867c47879a774fdd7c44e2452023-08-08T15:33:00ZengIOP PublishingNew Journal of Physics1367-26302019-01-0121101500110.1088/1367-2630/aaf373Collective modes of vortex lattices in two-component Bose–Einstein condensates under synthetic gauge fieldsTakumi Yoshino0Shunsuke Furukawa1https://orcid.org/0000-0003-3376-7198Sho Higashikawa2Masahito Ueda3https://orcid.org/0000-0002-5367-1436Department of Physics, University of Tokyo , 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, JapanDepartment of Physics, University of Tokyo , 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, JapanDepartment of Physics, University of Tokyo , 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, JapanDepartment of Physics, University of Tokyo , 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan; RIKEN Center for Emergent Matter Science (CEMS) , Wako, Saitama 351-0198, JapanWe study collective modes of vortex lattices in two-component Bose–Einstein condensates subject to synthetic magnetic fields in mutually parallel or antiparallel directions. By means of the Bogoliubov theory with the lowest-Landau-level approximation, we numerically calculate the excitation spectra for a rich variety of vortex lattices that appear commonly for parallel and antiparallel synthetic fields. We find that in all of these cases there appear two distinct modes with linear and quadratic dispersion relations at low energies, which exhibit anisotropy reflecting the symmetry of each lattice structure. Remarkably, the low-energy spectra for the two types of fields are found to be related to each other by simple rescaling when vortices in different components overlap owing to an intercomponent attraction. These results are consistent with an effective field theory analysis. However, the rescaling relations break down for interlaced vortex lattices appearing with an intercomponent repulsion, indicating a nontrivial effect of an intercomponent vortex displacement beyond the effective field theory. We also find that high-energy parts of the excitation bands exhibit line or point nodes as a consequence of a fractional translation symmetry present in some of the lattice structures.https://doi.org/10.1088/1367-2630/aaf373multicomponent Bose–Einstein condensatessynthetic gauge fieldsvortex latticesNambu–Goldstone modes |
| spellingShingle | Takumi Yoshino Shunsuke Furukawa Sho Higashikawa Masahito Ueda Collective modes of vortex lattices in two-component Bose–Einstein condensates under synthetic gauge fields New Journal of Physics multicomponent Bose–Einstein condensates synthetic gauge fields vortex lattices Nambu–Goldstone modes |
| title | Collective modes of vortex lattices in two-component Bose–Einstein condensates under synthetic gauge fields |
| title_full | Collective modes of vortex lattices in two-component Bose–Einstein condensates under synthetic gauge fields |
| title_fullStr | Collective modes of vortex lattices in two-component Bose–Einstein condensates under synthetic gauge fields |
| title_full_unstemmed | Collective modes of vortex lattices in two-component Bose–Einstein condensates under synthetic gauge fields |
| title_short | Collective modes of vortex lattices in two-component Bose–Einstein condensates under synthetic gauge fields |
| title_sort | collective modes of vortex lattices in two component bose einstein condensates under synthetic gauge fields |
| topic | multicomponent Bose–Einstein condensates synthetic gauge fields vortex lattices Nambu–Goldstone modes |
| url | https://doi.org/10.1088/1367-2630/aaf373 |
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