Hydrodynamic relaxation of spin helices

Hydrodynamic relaxation of spin helices
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自旋螺旋的流体动力学弛豫

DOI:
10.1103/physrevb.108.075135
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发表时间:
2023
期刊:
影响因子:
3.7
通讯作者:
De Nardis, Jacopo
De Nardis, Jacopo
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Cecile, Guillaume;Gopalakrishnan, Sarang;Vasseur, Romain;De Nardis, Jacopo

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受最近冷原子实验的启发,我们研究了量子XXZ自旋链中自旋螺旋的弛豫。实验观察到的自旋螺旋弛豫遵循与线性响应传输本质上不同的标度定律。我们构建了这种自旋螺旋弛豫的理论,将广义流体动力学与扩散校正和局部密度近似的广义形式相结合。尽管螺旋远离局部平衡,但我们的流体动力学方法再现了实验观察到的弛豫动力学,并预测了后期弛豫,这超出了实验可达到的时间尺度。特别是,我们的理论解释了具有明显异常扩散的时间区域的存在,以及短时间和中间时间正负各向异性区域之间的不对称性。
Motivated by recent cold-atom experiments, we study the relaxation of spin helices in quantumXXZspin chains. The experimentally observed relaxation of spin helices follows scaling laws that are qualitatively different from linear-response transport. We construct a theory of the relaxation of such spin helices, combining generalized hydrodynamics with diffusive corrections and a generalized form of the local density approximation. Although helices are far from local equilibrium, our hydrodynamic approach reproduces the experimentally observed relaxational dynamics and also predicts the late-time relaxation, which is outside the experimentally accessible timescales. In particular, our theory explains the existence of temporal regimes with apparent anomalous diffusion, as well as the asymmetry between positive and negative anisotropy regimes at short and intermediate times.
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