Bifurcations, stability, and dynamics of multiple matter-wave vortex states

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Autor/in:
Erscheinungsjahr:
2010
Medientyp:
Text
Schlagworte:
  • Bose-Einstein condensates
  • Vortices
  • Vortex lattice
  • Atoms
  • Bose-Einstein Condensates
  • Gases
  • Bose-Einstein condensates
  • Vortices
  • Vortex lattice
  • Atoms
  • Bose-Einstein Condensates
  • Gases
Beschreibung:
  • In the present work, we offer a unifying perspective between the dark soliton stripe and the vortex multipole (dipole, tripole, aligned quadrupole, quintopole, etc.) states that emerge in the context of quasi-two-dimensional Bose-Einstein condensates. In particular, we illustrate that the multivortex states with the vortices aligned along the (former) dark soliton stripe sequentially bifurcate from the latter state in a supercritical pitchfork manner. Each additional bifurcation adds an extra mode to the dark soliton instability and an extra vortex to the configuration; moreover, the bifurcating states inherit the stability properties of the soliton prior to the bifurcation. The critical points of this bifurcation are computed analytically via a few-mode truncation of the system, which clearly showcases the symmetry-breaking nature of the corresponding bifurcation. We complement this small(-er) amplitude, few mode bifurcation picture, with a larger amplitude, particle-based description of the ensuing vortices. The latter enables us to characterize the equilibrium position of the vortices, as well as their intrinsic dynamics and anomalous modes, thus providing a qualitative description of the nonequilibrium multivortex dynamics.
Lizenz:
  • info:eu-repo/semantics/closedAccess
Quellsystem:
Forschungsinformationssystem der UHH

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oai:www.edit.fis.uni-hamburg.de:publications/8da38c08-ef63-4166-86b6-2c54e6f93d08