Continuum theory of Tkachenko modes in rapidly rotating Bose-Einstein condensate

Edouard B. Sonin*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The continuum theory of Tkachenko modes in a rotating 2D Bose-Einstein condensate (BEC) is considered taking into account density inhomogeneity and compressibility of the condensate. Two regimes of rotation are discussed: (i) the Vortex Line Lattice (VLL) regime, in which the vortex array consists of thin vortex lines with the core size much less than the intervortex distance; (ii) the Lowest-Landau Level (LLL) regime, in which vortex cores overlap and the BEC wave function is a superposition of states at the lowest Landau level. The theory is in good agreement with experimental observation of Tkachenko modes in the VLL regime. But theoretical frequencies in the LLL regime are essentially higher than those observed for very rapidly rotating BEC. This provides evidence that the experiment has not yet reached the LLL regime.

Original languageEnglish
Title of host publicationLOW TEMPERATURE PHYSICS
Subtitle of host publication24th International Conference on Low Temperature Physics - LT24
Pages55-56
Number of pages2
DOIs
StatePublished - 2006
EventLOW TEMPERATURE PHYSICS: 24th International Conference on Low Temperature Physics - LT24 - Orlando, FL, United States
Duration: 10 Aug 200617 Oct 2006

Publication series

NameAIP Conference Proceedings
Volume850
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceLOW TEMPERATURE PHYSICS: 24th International Conference on Low Temperature Physics - LT24
Country/TerritoryUnited States
CityOrlando, FL
Period10/08/0617/10/06

Keywords

  • BEC
  • Lowest Landau level
  • Rotation
  • Tkachenko wave
  • Vortices

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