Spin turbulence with small spin magnitude in spin-1 spinor Bose-Einstein condensates
arXiv:1308.5504 · doi:10.1103/PhysRevA.88.063628
Abstract
We theoretically and numerically study spin turbulence (ST) with small spin magnitude in spin-1 spinor Bose-Einstein condensates by using the spin-1 spinor Gross-Pitaevskii (GP)equations. This kind of ST is realized in two cases: (i) with antiferromagnetic interaction and (ii) with ferromagnetic interaction under a static magnetic field. The ST with small spin magnitude can exhibit two characteristic power laws in the spectrum of the spin-dependent interaction energy: -1 and -7/3 power laws in the low- and high-wave-number regions, respectively. These power laws are derived from a Kolmogorov-type dimensional scaling analysis for the equations of motion of the spin vector and nematic tensor. To confirm these power laws, we perform a numerical calculation of the spin-1 spinor GP equations in a two-dimensional uniform system. In case (i), the -7/3 power law appears in the high-wave-number region, but the spectrum in the low-wave-number region deviates from the -1 power law. In contrast, both -1 and -7/3 power laws are found to clearly appear in case (ii).
9 pages, 6 figures
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- A route to non-Abelian quantum turbulence in spinor Bose-Einstein condensates
- Quantum hydrodynamic theory of quantum fluctuations in dipolar Bose-Einstein condensate
- Direct and inverse cascades of spin-wave turbulence in spin-1 ferromagnetic spinor Bose-Einstein condensates
- Spin-superflow turbulence in spin-1 ferromagnetic spinor Bose-Einstein condensates
- Turbulence in quantum fluids
- Chaos-assisted Turbulence in Spinor Bose-Einstein Condensates
- Random spin textures in turbulent spinor Bose-Einstein condensates
- A Simple XY Model for Cascade Transfer