Nonuniform vortex lattices in inhomogeneous rotating Bose-Einstein condensates

Gordon Baym, C. J. Pethick, S. Andrew Gifford, and Gentaro Watanabe
Phys. Rev. A 75, 013602 – Published 3 January 2007

Abstract

We derive a general framework, in terms of elastic theory, for describing the distortion of the vortex lattice in a rotating Bose-Einstein condensate at arbitrary rotation speed and determining the dependence of the distortion on the density inhomogeneity of the system. In the rapidly rotating limit, we derive the energetics in terms of Landau levels, including excitation to higher levels; the distortion depends on the excitation of higher levels as well as on the density gradient. As we show, the dominant effect of higher Landau levels in a distorted lattice in equilibrium is simply to renormalize the frequency entering the lowest Landau level condensate wave function—from the transverse trap frequency, ω, to the rotational frequency, Ω, of the system. Finally, we show how the equilibrium lattice distortion emerges from elastohydrodynamic theory for inhomogeneous systems.

  • Received 9 August 2006

DOI:https://doi.org/10.1103/PhysRevA.75.013602

©2007 American Physical Society

Authors & Affiliations

Gordon Baym1,2, C. J. Pethick1, S. Andrew Gifford2, and Gentaro Watanabe1,3

  • 1NORDITA, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
  • 2Department of Physics, University of Illinois, 1110 West Green Street, Urbana, Illinois 61801, USA
  • 3The Institute of Chemical and Physical Research (RIKEN), 2-1 Hirosawa, Wako, Saitama 351-0198, Japan

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 75, Iss. 1 — January 2007

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
×