论文标题
纠缠负面性的时间演变
Time evolution of entanglement negativity across a defect
论文作者
论文摘要
我们通过通过缺陷加入两个同质的半链来考虑自由屈服链中的淬火。纠缠负性的时间演变在围绕缺陷的相邻部分之间进行了研究。如果具有相等的初始填充物，则消极度会随着时间的推移而对数增长，并且基本上等于rényi互信息的一半，并在大段的限制下用索引$α= 1/2 $。相比之下，在有偏见的情况下，发现了线性增加，然后以两种量的饱和度为饱和度，这是由于缺陷的反向散射，并且可以在准粒子图片中复制。此外，仔细检查均匀的校正表明，否定性和相互信息在稳态中具有很小但有限的差异。最后，我们还通过密度 - 矩阵重新归一化的方法研究了XXZ自旋链中的类似淬火，并比较了对费米尼斯病例的消极性结果。
We consider a quench in a free-fermion chain by joining two homogeneous half-chains via a defect. The time evolution of the entanglement negativity is studied between adjacent segments surrounding the defect. In case of equal initial fillings, the negativity grows logarithmically in time and essentially equals one-half of the Rényi mutual information with index $α= 1/2$ in the limit of large segments. In sharp contrast, in the biased case one finds a linear increase followed by the saturation at an extensive value for both quantities, which is due to the backscattering from the defect and can be reproduced in a quasiparticle picture. Furthermore, a closer inspection of the subleading corrections reveals that the negativity and the mutual information have a small but finite difference in the steady state. Finally, we also study a similar quench in the XXZ spin chain via density-matrix renormalization group methods and compare the results for the negativity to the fermionic case.
