Excited states of a dilute Bose-Einstein condensate in a harmonic trap

1997/04/28 by Alexander L. Fetter, Daniel S. Rokhsar, Daniel Rokhsar · 6 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreva.57.1191

15 pages, REVTEX

arxiv created 1997/04/28 · openalex publication_date 1998/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The low-lying hydrodynamic normal modes of a dilute Bose-Einstein gas in an isotropic harmonic trap determine the corresponding Bogoliubov amplitudes. In the Thomas-Fermi limit, these modes have large low-temperature occupation numbers, and they permit an explicit construction of the dynamic structure function S(q,ω). The total noncondensate number N'(0) at zero temperature increases like R⁶, where R is the condensate radius measured in units of the oscillator length. The lowest dipole modes are constructed explicitly in the Bogoliubov approximation.

Citations

• Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor
• Structure of a quantized vortex in boson systems

Cited by

• Condensate fluctuations in finite Bose-Einstein condensates at finite temperature
• Theory of coherent Bragg spectroscopy of a trapped Bose-Einstein condensate
• Response of Bose-Einstein condensates to external perturbations at finite temperature
• Rotational States of Bose Gases with Attractive Interactions in Anharmonic Traps
• Dynamic response of interacting one-dimensional fermions in the harmonic atom trap: Phase response and the inhomogeneous mobility
• Vortices in a trapped dilute Bose-Einstein condensate