论文标题
排斥性旋转的一般流体力学 - $ \ frac {1} {2} $ fermi煤气
Generalized hydrodynamics of the repulsive spin-$\frac{1}{2}$ Fermi gas
论文作者
论文摘要
我们研究了可排斥旋转的一维气体$ 1/2 $费米子的非均匀量子淬灭，如可集成的杨高素模型所述。通过广泛的流体动力学（GHD），我们详细分析了狭窄潜力突然变化后的实时演变。我们特别考虑释放协议和陷阱淬火，包括量子牛顿摇篮的版本。在零温度下，我们采用了简化的相位流体动力图片来表征粒子和旋转密度曲线的动力学。远离零温度，我们对GHD方程进行了彻底的数值研究，并为温度，外部磁场和化学电位的不同值提供了定量预测。我们强调了由于基本激发的多组分性质而产生的定性特征，并讨论了自旋电荷分离和动态极化的特殊影响。
We study non-homogeneous quantum quenches in a one-dimensional gas of repulsive spin-$1/2$ fermions, as described by the integrable Yang-Gaudin model. By means of generalized hydrodynamics (GHD), we analyze in detail the real-time evolution following a sudden change of the confining potential. We consider in particular release protocols and trap quenches, including a version of the quantum Newton's cradle. At zero temperature, we employ a simplified phase-space hydrodynamic picture to characterize the dynamics of the particle- and spin-density profiles. Away from zero temperatures, we perform a thorough numerical study of the GHD equations, and provide quantitative predictions for different values of the temperature, external magnetic field, and chemical potential. We highlight the qualitative features arising due to the multi-component nature of the elementary excitations, discussing in particular effects of spin-charge separation and dynamical polarization.
