Direct and inverse cascades of spin-wave turbulence in spin-1 ferromagnetic spinor Bose-Einstein condensates

Abstract

We theoretically and numerically study spin-wave turbulence in spin-1 ferromagnetic spinor Bose-Einstein condensates, finding direct and inverse cascades with power-law behavior. To derive these power exponents analytically, the conventional weak wave turbulence theory is applied to the spin-1 spinor Gross-Pitaevskii equation. Thus, we obtain the $-7/3$ and $-5/3$ power laws in the transverse spin correlation function for the direct and inverse cascades, respectively. To confirm these power laws, numerical calculations are performed that obtain results consistent with these power laws.

11 pages, 9 figures

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Cited by in corpus (11)

• Different growth rates for spin and superfluid order in a quenched spinor condensate
• Emergence and scaling of spin turbulence in quenched antiferromagnetic spinor Bose-Einstein condensates
• Flemish Strings of Magnetic Solitons and a Non-Thermal Fixed Point in a One-Dimensional Antiferromagnetic Spin-1 Bose Gas
• Universal prethermal dynamics in Heisenberg ferromagnets
• Spectral analysis for compressible quantum fluids
• Anomalous phase ordering of a quenched ferromagnetic superfluid
• Turbulent relaxation after a quench in the Heisenberg model
• Crossover from weak to strong quench in a spinor Bose-Einstein condensate
• Far-from-equilibrium universality in two-dimensional Heisenberg antiferromagnets
• Rayleigh-Taylor, Kelvin-Helmholtz and immiscible to miscible quenching instabilities in binary Bose-Einstein condensates
• A Simple XY Model for Cascade Transfer