Low-energy elementary excitations of a trapped Bose-condensed gas

1997/05/06 by Patrik Öhberg, P. Ohberg, E.L. Surkov +8 · 8 citations
Physics and Astronomy · #Angular momentum #Asymmetry #Atomic and Subatomic Physics Research #Bose gas #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Context (archaeology) #Degeneracy (biology) #Eigenvalues and eigenvectors #Excitation #Fermi Gamma-ray Space Telescope #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Symmetry (geometry) #physics.atom-ph

paper · pdf · doi:10.1103/physreva.56.r3346

4 pages, LaTeX, other comments are at http://WWW.amolf.nl/departments/quantumgassen/TITLE.HTML

arxiv created 1997/05/06 · openalex publication_date 1997/11/01 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We develop a method of finding analytical solutions of the Bogolyubov--de Gennes equations for the excitations of a Bose condensate in the Thomas-Fermi regime in harmonic traps of any asymmetry and introduce a classification of eigenstates. In the case of cylindrical symmetry we emphasize the presence of an accidental degeneracy in the excitation spectrum at certain values of the projection of orbital angular momentum on the symmetry axis and discuss possible consequences of the degeneracy in the context of new signatures of Bose-Einstein condensation.

Citations

• Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions
• Collective Excitations of a Bose-Einstein Condensate in a Dilute Gas
• Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor
• Bose-Einstein Condensation in a Gas of Sodium Atoms

Cited by

• Unusual behavior of sound velocity of a Bose gas in an optical superlattice at quasi-one-dimension
• Semiclassical solution of the quantum hydrodynamic equation for trapped Bose-Einstein condensed gas in thel=0case
• Polaron physics in optical lattices
• Collective excitations of a two-dimensional interacting Bose gas in external fields
• Dynamics of vortex matter in rotating two-species Bose-Einstein condensates
• Using Polarons for sub-nK Quantum Nondemolition Thermometry in a Bose-Einstein Condensate
• Decay of a superfluid current of ultracold atoms in a toroidal trap
• Bose-Einstein condensation in shallow traps