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Title: Continuum Theory of Tkachenko Modes in Rapidly Rotating Bose-Einstein Condensate

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.

Authors:
 [1]
  1. Racah Institute of Physics, Hebrew University of Jerusalem, Givat Ram, Jerusalem 91904 (Israel)
Publication Date:
OSTI Identifier:
20884854
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 850; Journal Issue: 1; Conference: LT24: 24. international conference on low temperature physics, Orlando, FL (United States), 10-17 Aug 2005; Other Information: DOI: 10.1063/1.2354604; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN CONDENSATION; COMPRESSIBILITY; DENSITY; VORTICES; WAVE FUNCTIONS

Citation Formats

Sonin, Edouard B. Continuum Theory of Tkachenko Modes in Rapidly Rotating Bose-Einstein Condensate. United States: N. p., 2006. Web. doi:10.1063/1.2354604.
Sonin, Edouard B. Continuum Theory of Tkachenko Modes in Rapidly Rotating Bose-Einstein Condensate. United States. https://doi.org/10.1063/1.2354604
Sonin, Edouard B. 2006. "Continuum Theory of Tkachenko Modes in Rapidly Rotating Bose-Einstein Condensate". United States. https://doi.org/10.1063/1.2354604.
@article{osti_20884854,
title = {Continuum Theory of Tkachenko Modes in Rapidly Rotating Bose-Einstein Condensate},
author = {Sonin, Edouard B},
abstractNote = {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.},
doi = {10.1063/1.2354604},
url = {https://www.osti.gov/biblio/20884854}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 850,
place = {United States},
year = {Thu Sep 07 00:00:00 EDT 2006},
month = {Thu Sep 07 00:00:00 EDT 2006}
}