Spin Turbulence in Spin-1 Spinor Bose-Einstein Condensate with Antiferromagnetic Interaction

Abstract

We theoretically and numerically study turbulence in spin-1 spinor Bose-Einstein condensates (BECs) with antiferromagnetic (AF) interaction by using the spinor Gross-Pitaevskii equations. In this system, the dynamical instability is caused by the counterflow, leading to the disturbed distribution of the spin density vector, which we call spin turbulence (ST). Previously, we investigated the ST in spin-1 spinor BEC with ferromagnetic interaction, finding that the spectrum of spin-dependent interaction energy exhibited the −7/3 power law. In this study, we investigate the ST in the spin-1 spinor BEC with AF interaction, pointing out the −1 and −7/3 power laws in the low and high wave number regions, respectively. These power laws can be obtained by the Kolmogorov-type dimensional scaling analysis for the equations of spin vector and nematic tensor. However, our numerical calculation finds the −7/3 power law in the high wave number region, while the spectrum in the low wave number region deviates from the −1 power law.