2008/02/27 by Hidetsugu Sakaguchi, H. Sakaguchi, H. Takeshita +1 · 13 citations
Computer Science · Physics and Astronomy · #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Explicit symmetry breaking #Geometry #Ginzburg–Landau theory #Instability #Mechanics #Nonlinear Dynamics and Pattern Formation #Nucleation #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Spontaneous symmetry breaking #Superconductivity #Symmetry (geometry) #Symmetry breaking #Vortex #Vortex state #cond-mat.soft #cond-mat.supr-con
paper · pdf · doi:10.1143/jpsj.77.054003
published in Journal of the Physical Society of Japan 77(5), 054003 (Physical Society of Japan) · 10 pages, 9 figures
arxiv created 2008/02/27 · openalex publication_date 2008/04/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We numerically study the symmetry breaking instabilities of vortex patterns in a rotating harmonic potential using a type of Ginzburg-Landau equation. The configurations of vortex lattices change markedly by the symmetry-breaking instabilities, and then, some vortices move away from the confinement potential, which leads to the annihilation of vortices. The symmetry-breaking instabilities and the instabilities of vortex nucleation determine the parameter region of stable vortex patterns. We verify that the symmetry-breaking instabilities also occur in a type of complex Ginzburg-Landau equation.