Scaling of the spin-interaction energy spectrum in turbulent spinor Bose-Einstein condensates

Universal scaling laws in the kinetic energy spectrum are a hallmark of turbulence in both classical and quantum fluids. Recently, the formation of complex spin textures by chaotic spin dynamics in antiferromagnetic spin-1 Bose-Einstein condensates (BECs) was reported, and this approach was proposed as a new turbulence generation method. By measuring the spatial spin distribution in this turbulent system, we observed two distinct scaling regions in the spin-interaction energy power spectrum. The exponents are -1 and -7/3, which are distinct from the scaling laws in conventional turbulence. This novel scaling behaviors are explained by the spin hydrodynamic equation of the antiferromagnetic spin-1 BECs. Furthermore, this scaling behavior remains robust as the system's spin-nematic anisotropy is varied. This work extends the scope of turbulence research by establishing a new type of turbulence within the spin sector.