Vibrations of a columnar vortex in a trapped Bose-Einstein condensate

Lyndon Koens, Tapio P. Simula, and Andrew M. Martin
Phys. Rev. A 87, 063614 – Published 14 June 2013

Abstract

We derive a governing equation for a Kelvin wave supported on a vortex line in a Bose-Einstein condensate, in a rotating cylindrically symmetric parabolic trap, where it is assumed that the shape of the vortex line is dominated by the properties of the condensate at the center of the trap. From this solution the Kelvin wave dispersion relation is determined. In the limit of an oblate trap and in the absence of longitudinal trapping our results are consistent with previous work. We show that the derived Kelvin wave dispersion in the general case is in quantitative agreement with numerical calculations of the Bogoliubov spectrum.

  • Figure
  • Received 8 August 2012

DOI:https://doi.org/10.1103/PhysRevA.87.063614

©2013 American Physical Society

Authors & Affiliations

Lyndon Koens1,2, Tapio P. Simula3, and Andrew M. Martin1

  • 1School of Physics, The University of Melbourne, Parkville, Victoria 3010, Australia
  • 2Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, CB3 0WA, United Kingdom
  • 3School of Physics, Monash University, Clayton, Victoria 3800, Australia

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 87, Iss. 6 — June 2013

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×