Spin Turbulence and the −7/3 Power Law in a Trapped Spin-1 Spinor Bose-Einstein Condensate

Abstract

We numerically study the spin turbulence in a two-dimensional trapped spin-1 spinor Bose-Einstein condensate, focusing on the energy spectrum. The spin turbulence in the trapped system is generated through the instability of the initial helical structure of the spin density vector. The spectrum of the spin-dependent interaction energy in the ferromagnetic case becomes to exhibit the −7/3 power law as the spin turbulence develops, which was confirmed in a uniform system by the counterflow instability. Hence the spin turbulence with the −7/3 energy spectrum is robust independently of how the turbulence is generated.