Dissipative hydrodynamic equation of a ferromagnetic Bose-Einstein condensate: Analogy to magnetization dynamics in conducting ferromagnets
arXiv:1106.2876 · doi:10.1103/PhysRevA.84.043607
Abstract
The hydrodynamic equation of a spinor Bose-Einstein condensate (BEC) gives a simple description of spin dynamics in the condensate. We introduce the hydrodynamic equation of a ferromagnetic BEC with dissipation originating from the energy dissipation of the condensate. The dissipative hydrodynamic equation has the same form as an extended Landau-Lifshitz-Gilbert (LLG) equation, which describes the magnetization dynamics of ferromagnets interacting with spin-polarized currents. Employing the dissipative hydrodynamic equation, we demonstrate the magnetic domain pattern dynamics of a ferromagnetic BEC in the presence and absence of a current of particles, and discuss the effects of the current on domain pattern formation. We also discuss the characteristic lengths of domain patterns that have domain walls with and without finite magnetization.
19 pages, 5 figures
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- Coarsening dynamics driven by vortex-antivortex annihilation in ferromagnetic Bose-Einstein condensates
- Flemish Strings of Magnetic Solitons and a Non-Thermal Fixed Point in a One-Dimensional Antiferromagnetic Spin-1 Bose Gas
- Spin turbulence with small spin magnitude in spin-1 spinor Bose-Einstein condensates
- Direct and inverse cascades of spin-wave turbulence in spin-1 ferromagnetic spinor Bose-Einstein condensates
- Spin-glass-like behavior in the spin turbulence of spinor Bose-Einstein condensates
- Superfluidity and spin superfluidity in spinor Bose gases
- Stoner-Wohlfarth switching of the condensate magnetization in a dipolar spinor gas and the metrology of excitation damping
- Effects of Landau-Lifshitz-Gilbert damping on domain growth
- Spin turbulence in spinor Bose-Einstein condensates
- Upper bound of one-magnon excitation and lower bound of effective mass for ferromagnetic spinor Bose and Fermi gases
- Scale-invariant relaxation dynamics in two-component Bose-Einstein condensates with large particle-number imbalance
- Geometrically Frustrated Coarsening Dynamics in Spinor Bose-Fermi Mixtures