Kinetic helicity of vortex in Bose-Einstein condensates
College of Electric and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China
Corresponding author: a email@example.com
Revised: 9 November 2005
Published online: 17 January 2006
Kinetic helicity of vortex in Bose-Einstein condensates is studied and classified by Hopf index, linking number in geometry. A mechanism of generation and annihilation of vortex line is given by method of phase singularity theory. The dynamic behavior of vortex at the critical points is discussed detailly, and three kinds of length approximation relations at the neighborhood of singularity point are given.
PACS: 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices and topological excitations / 67.40.Vs – Vortices and turbulence / 03.65.Vf – Phases: geometric; dynamic or topological
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006