2004/08/31 by Lincoln D. Carr, L. D. Carr, Charles W. Clark · 4 citations
Chemistry · Physics and Astronomy · #Bose–Einstein condensate #Chemistry #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Ground state #Instability #Mechanics #Nonlinear Photonic Systems #Nonlinear system #Physics #Quantum electrodynamics #Quantum mechanics #Ring (chemistry) #Rotational symmetry #Stability (learning theory) #Stationary state #Strong Light-Matter Interactions #Vortex #Vortex ring #cond-mat.other #nlin.PS
paper · pdf · doi:10.1103/physreva.74.043613
published as Phys. Rev. A v. 74, 043613 (2006). http://link.aps.org/abstract/PRA/v74/e043613 · 15 pages, 9 figures -- final version
openalex publication_date 2006/10/18 · arxiv created 2006/10/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The form and stability properties of axisymmetric and spherically symmetric stationary states in two and three dimensions, respectively, are elucidated for Bose-Einstein condensates. These states include the ground state, central vortices, and radial excitations of both. The latter are called ring solitons in two dimensions and spherical shells in three. The nonlinear Schr"odinger equation is taken as the fundamental model; both extended and harmonically trapped condensates are considered. It is found that the instability times of ring solitons can be long compared to experimental time scales, making them effectively stable over the lifetime of an experiment.