论文标题
巨大XXZ链中全球淬火后相关性的幂律衰减
Power-law decay of correlations after a global quench in the massive XXZ chain
论文作者
论文摘要
我们研究了在各向异性参数的全局量子淬灭之后，研究了XXZ Spin-1/2链的抗铁磁相中相等相关性的弛豫动力学。我们特别关注从最初的Néel状态开始的放松动态。使用最先进的密度 - 矩阵重新归一化组模拟，有效自由屈服模型的精确解决方案以及热力学伯特·安萨兹（Bethe Ansatz）内的淬火方法，我们表明晚期放松的特征是powerlaw衰减$ \ sim t^{ - 3/2/2} $ sim t^{-3/2} $独立于矛盾。这与先前研究的抗铁磁阶参数的指数衰减相反。值得注意的是，即使在定量级别上，如果考虑到对领先的渐近行为的较高校正，则有效的模型也很好地描述了数值数据。
We investigate the relaxation dynamics of equal-time correlations in the antiferromagnetic phase of the XXZ spin-1/2 chain following a global quantum quench of the anisotropy parameter. We focus, in particular, on the relaxation dynamics starting from an initial Néel state. Using state-of-the-art density-matrix renormalization group simulations, the exact solution of an effective free-fermion model, and the quench-action approach within the thermodynamic Bethe ansatz, we show that the late-time relaxation is characterized by a power-law decay $\sim t^{-3/2}$ independent of anisotropy. This is in contrast to the previously studied exponential decay of the antiferromagnetic order parameter. Remarkably, the effective model describes the numerical data extremely well even on a quantitative level if higher order corrections to the leading asymptotic behavior are taken into account.
