Collective oscillations of vortices in Bose-Einstein condensates under rotation

K. Machida, T. Mizushima, Masanori Ichioka

Research output: Contribution to journalArticle

Abstract

We investigate low-energy collective excitations in Bose-Einstein condensates (BECs) with a single-vortex line or many vortices by using the microscopic theory based on the Bogoliubov-Popov formalism. The paper is divided into the following two section: (i) We first study the damping process of the quadrupole modes in a three-dimensional cigar-shaped BEC. The selective excitation of such the modes occurs during the rotation of the condensate in the opposite or same direction relative to a vortex velocity field. The dramatic change of the damping process of these modes is explained by the linear response theory. It is proposed that Kelvin modes play a leading part in the decay process of the quadrupole excitation. These results are quantitatively compared with the recent experiment on 87Rb by Bretin et al. [Phys. Rev. Lett. 90, 100403 (2003)]. (ii) In addition, the complete spectrum of the collective excitations in vortex-lattice states is obtained by solving the Bogoliubov-de Gennes equation in a two-dimensional disk-shaped BEC. We also discuss the frequency shift of totally symmetric and twofold symmetric Tkachenko modes.

Original languageEnglish
Pages (from-to)660-668
Number of pages9
JournalLaser Physics
Volume15
Issue number4
Publication statusPublished - Apr 2005

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Bose-Einstein condensates
Vortex flow
vortices
oscillations
Damping
excitation
quadrupoles
damping
Excitation energy
frequency shift
condensates
velocity distribution
formalism
decay
Experiments
energy

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Physics and Astronomy (miscellaneous)

Cite this

Collective oscillations of vortices in Bose-Einstein condensates under rotation. / Machida, K.; Mizushima, T.; Ichioka, Masanori.

In: Laser Physics, Vol. 15, No. 4, 04.2005, p. 660-668.

Research output: Contribution to journalArticle

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