Eur. Phys. J. B 59, 193-198 (2007)
https://doi.org/10.1140/epjb/e2007-00284-2

Dynamics of texture for spinor condensates

Simple analytic solutions

Department of Physics, Ritsumeikan University-BKC, Noji-Hill, Kusatsu City, Shiga, 525-8577, Japan

Corresponding author: ^a rp014029@se.ritsumei.ac.jp

Received: 12 April 2007
Revised: 22 August 2008
Published online: 17 October 2007

Abstract

We study a dynamics of texture for a two-component spinor bose condensate. This is carried out by adopting a time dependent Landau-Ginzburg Lagrangian for a spinor order parameter. By using a polar form of the spinor order parameter, we obtain a field equation for the texture. In particular we consider a one dimensional model in which we can obtain analytic forms for the textures in terms of elliptic functions of several kinds. We find that these solutions are characterized by a modulus parameter, and changes in this parameter cause structural changes of texture.