2015/02/28 by Kazue Kudo, Yuki Kawaguchi · 2 citations
Physics and Astronomy · #Annihilation #Bose–Einstein condensate #Classical XY model #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Ferromagnetism #Ising model #Magnetic field #Magnetization #Mechanics #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Superfluidity #Theoretical and Computational Physics #Vortex #Zeeman effect #Zeeman energy #cond-mat.quant-gas #nlin.PS
paper · pdf · doi:10.1103/physreva.91.053609
published as Phys. Rev. A 91, 053609 (2015) · 9 pages, 5 figures
arxiv created 2015/05/08 · openalex publication_date 2015/05/12 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In ferromagnetic Bose-Einstein condensates (BECs), the quadratic Zeeman effect controls magnetic anisotropy, which affects magnetic domain pattern formation. While the longitudinal magnetization is dominant (similar to the Ising model) for a negative quadratic Zeeman energy, the transverse magnetization is dominant (similar to the XY model) for a positive one. When the quadratic Zeeman energy is positive, the coarsening dynamics is driven by vortex-antivortex annihilation in the same way as the XY model. However, due to a superfluid flow of atoms, there exist several combinations of vortex-antivortex pairs in ferromagnetic BECs, which makes the coarsening dynamics more complicated than that of the XY model. We propose a revised domain growth law, which is based on the growth law of the two-dimensional XY model, for a two-dimensional ferromagnetic BEC with a positive quadratic Zeeman energy.