Non-uniform vortex lattices in inhomogeneous rotating Bose-Einstein condensates

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, $\omega$, to the rotational frequency, $\Omega$, of the system. Finally, we show how the equilibrium lattice distortion emerges from elastohydrodynamic theory for inhomogeneous systems.

6 pages, no figures

References in corpus (11)

• Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
• Experimental studies of equilibrium vortex properties in a Bose-condensed gas
• Landau levels and the Thomas-Fermi structure of rapidly rotating Bose-Einstein condensates
• Vortex lattices in the lowest Landau level for confined Bose-Einstein condensates
• Vortices in Spatially Inhomogeneous Superfluids
• Vortex lattices in rapidly rotating Bose-Einstein condensates: modes and correlation functions
• Ground State and Tkachenko Modes of a Rapidly Rotating Bose-Einstein Condensate in the Lowest Landau Level State
• Vortex Lattice Inhomogeneity in Spatially Inhomogeneous Superfluids
• Vortex lattice stability and phase coherence in three-dimensional rapidly rotating Bose condensates
• Structure of vortices in rotating Bose-Einstein condensates
• Breathing mode of rapidly rotating Bose-Einstein condensates

Cited by in corpus (9)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Vortex structures in rotating Bose-Einstein condensates
• Bosonic superfluid on lowest Landau level
• Inhomogeneous Vortex Patterns in Rotating Bose-Einstein Condensates
• Dislocation-Mediated Melting in Superfluid Vortex Lattices
• Commensurability and hysteretic evolution of vortex configurations in rotating optical lattices
• The dynamics of straight vortex filaments in a Bose-Einstein condensate with a Gaussian density profile
• Vortex structures of rotating Bose-Einstein condensates in anisotropic harmonic potential
• The axial breathing mode in rapidly rotating Bose-Einstein condensates and uncertainty of the rotation velocity