Collective modes of vortex lattices in two-component Bose-Einstein condensates under synthetic gauge fields

Takumi Yoshino, Shunsuke Furukawa, Sho Higashikawa, Masahito Ueda

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Article number015001
JournalNew Journal of Physics
Volume21
Issue number1
DOIs
Publication statusPublished - 2019 Jan 8
Externally publishedYes

Keywords

  • Nambu-Goldstone modes
  • multicomponent Bose-Einstein condensates
  • synthetic gauge fields
  • vortex lattices

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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