Spin-glass-like behavior in the spin turbulence of spinor Bose-Einstein condensates

TL;DR

This paper investigates the spin turbulence in spin-1 ferromagnetic spinor Bose-Einstein condensates, revealing a spin-glass-like state characterized by a -7/3 power law in the energy spectrum.

Contribution

It introduces the spin glass order parameter into the analysis of spin turbulence in spinor BECs, providing a new way to describe the disordered spin state.

Findings

Spin turbulence exhibits a -7/3 power law in the energy spectrum.

The spin density vector is spatially disordered but temporally frozen.

The spin glass order parameter effectively characterizes the turbulence state.

Abstract

We study numerically the spin turbulence in spin-1 ferromagnetic spinor Bose-Einstein condensates (BECs). Spin turbulence (ST) is characterized by a -7/3 power law in the spectrum of the spin-dependent interaction energy. The direction of the spin density vector is spatially disordered but temporally frozen in ST, showing some analogy with the spin glass state. Thus, we introduce the order parameter of spin glass into ST in spinor BECs. When ST develops through some instability, the order parameter grows with a -7/3 power law, thus succeeding in describing ST well.