2007/07/31 by Yi-Shi Duan, Li-Da Zhang, Lida Zhang +1
Physics and Astronomy · #Abelian group #Angular momentum #Chern–Simons theory #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Gauge theory #Geometry #Mathematical physics #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum mechanics #Quantum optics and atomic interactions #Scalar (mathematics) #Scalar field #Scalar field theory #Scalar potential #Topological defect #Topology (electrical circuits) #Vortex #hep-th
paper · pdf · doi:10.1142/s0217732308026273
published as Mod.Phys.Lett.A23:2189-2198,2008 · 9 pages, no figures
openalex publication_date 2008/08/30 · arxiv created 2008/08/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Making use of ϕ-mapping topological current method, we discuss the self-dual vortices in the Abelian Chern–Simons model with two complex scalar fields. For each scalar field, an exact nontrivial equation with a topological term which is missing in many references is derived analytically. The general angular momentum is obtained. The magnetic flux which relates the two scalar fields is calculated. Furthermore, we investigate the vortex evolution processes, and find that because of the presence of the vortex molecule, these evolution processes are more complicated than the vortex evolution processes in the corresponding single scalar field model.