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

TL;DR

This paper investigates spin-wave turbulence in spin-1 ferromagnetic spinor Bose-Einstein condensates, revealing analytical power laws for cascades and confirming them through numerical simulations.

Contribution

It introduces a theoretical framework applying weak wave turbulence theory to derive power-law exponents in spinor BECs and confirms these with numerical results.

Findings

Derivation of -7/3 and -5/3 power laws for cascades.

Numerical confirmation of analytical power laws.

Identification of direct and inverse cascades in spinor BECs.

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.