Spin-glass-like behavior in the spin turbulence of spinor Bose-Einstein condensates
Makoto Tsubota, Yusuke Aoki, Kazuya Fujimoto
We study numerically the spin turbulence (ST) in spin-1 ferromagnetic spinor Bose-Einstein condensates (BECs). ST is characterized by a $\ensuremath{-}7/3$ 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 an 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 $\ensuremath{-}7/3$ power law, thus succeeding in describing ST well.
arXiv:1304.4674•Physical Review A•Dec 6, 2013•14 citations