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Time evolution of entanglement negativity across a defect
Journal of Physics A: Mathematical and Theoretical ( IF 2.1 ) Pub Date : 2020-05-04 , DOI: 10.1088/1751-8121/ab831c
Matthias Gruber , Viktor Eisler

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 ...

中文翻译:

缺陷的纠缠负值的时间演化

我们考虑通过一条缺陷通过连接两个均质的半链来实现自由费米链的淬灭。研究了围绕缺陷的相邻线段之间纠缠负值的时间演化。在初始填充量相等的情况下,负性会随时间呈对数增长,并且在大段数的范围内,基本上等于索引r = 1/2的Rényi互信息的一半。与之形成鲜明对比的是,在有偏见的情况下,人们发现线性增加,然后在两个值的较大值处出现饱和度,这是由于缺陷造成的反向散射所致,并且可以在准粒子图像中再现。此外,仔细检查次要修正值可以发现,否定性和互信息在稳态下具有很小但有限的差异。最后,
更新日期:2020-05-04
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