Hydrodynamic equation of a spinor dipolar Bose-Einstein condensate

Abstract

We introduce equations of motion for spin dynamics in a ferromagnetic Bose-Einstein condensate with magnetic dipole-dipole interaction, written using a vector expressing the superfluid velocity and a complex scalar describing the magnetization. This simple hydrodynamical description extracts the dynamics of spin wave and affords a straightforward approach by which to investigate the spin dynamics of the condensate. To demonstrate the advantages of the description, we illustrate dynamical instability and magnetic fluctuation preference, which are expressed in analytical forms.

13 pages, 5 figures

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Cited by in corpus (22)

• Spinor Bose-Einstein condensates
• Quantum turbulence in trapped atomic Bose-Einstein condensates
• Numerical Studies of Quantum Turbulence
• Domain wall dynamics in the Landau--Lifshitz magnet and the classical-quantum correspondence for spin transport
• Hydrodynamic Description of Spin-1 Bose-Einstein Condensates
• Counterflow instability and turbulence in a spin-1 spinor Bose--Einstein condensate
• Coarsening dynamics driven by vortex-antivortex annihilation in ferromagnetic Bose-Einstein condensates
• Collective spin modes of a trapped quantum ferrofluid
• Quantum hydrodynamics of the spinor Bose-Einstein condensate at non-zero temperatures
• Unconventional Universality Class of One-Dimensional Isolated Coarsening Dynamics in a Spinor Bose Gas
• Dissipative hydrodynamic equation of a ferromagnetic Bose-Einstein condensate: Analogy to magnetization dynamics in conducting ferromagnets
• Spin turbulence with small spin magnitude in spin-1 spinor Bose-Einstein condensates
• Spin mixing and protection of ferromagnetism in a spinor dipolar condensate
• 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
• Three fluid hydrodynamics of spin-1 Bose-Einstein condensates
• Spin-dependent Bragg spectroscopy of a spinor Bose gas
• Excitation Transport through a Domain Wall in a Bose-Einstein Condensate
• Scale-invariant relaxation dynamics in two-component Bose-Einstein condensates with large particle-number imbalance
• Spin turbulence in spinor Bose-Einstein condensates
• Emergent quantum field theories on curved spacetimes in spinor Bose-Einstein condensates: from scalar to Proca fields
• Hydrodynamic model of skyrmions and vorticities in the spin-1 Bose-Einstein condensate in ferromagnetic phase at finite temperatures