Stability of excited states of a Bose-Einstein condensate in an anharmonic trap

2008/04/29 by Dmitry A. Zezyulin, G. L. Alfimov, Georgy L. Alfimov +4 · 1 citation
Mathematics · Physics and Astronomy · #Anharmonicity #Bose–Einstein condensate #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Equidistant #Excited state #Geometry #Harmonic #Harmonic potential #Limit (mathematics) #Mathematical analysis #Mathematics #Nonlinear system #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Stability (learning theory) #Strong Light-Matter Interactions #Trap (plumbing) #nlin.PS

paper · pdf · doi:10.1103/physreva.78.013606

arxiv created 2008/04/29 · openalex publication_date 2008/07/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We analyze the stability of nonground nonlinear states of a Bose-Einstein condensate in the mean-field limit in effectively one-dimensional (``cigar-shape'') traps for various types of confining potentials. We find that nonlinear states become, in general, more stable when switching from a harmonic potential to an anharmonic one. We discuss the relation between this fact and the specifics of the harmonic potential which has an equidistant spectrum.

Citations

• Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions
• Bosons in anisotropic traps: Ground state and vortices
• Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor
• Reversal of the circulation of a vortex by quantum tunneling in trapped Bose systems

Cited by

• Spectral and Dynamical Properties of the Fractional Nonlinear Schrödinger Equation under Harmonic Confinement