Disorder-induced enhancement of entanglement growth in one dimension: Information leakage at the scale of the localization length
Disorder-induced enhancement of entanglement growth in one dimension: Information leakage at the scale of the localization length
复制标题
无序诱导的一维纠缠增长增强：局域长度尺度的信息泄漏
DOI：
10.1103/physrevb.103.024202
复制
发表时间：
2021
影响因子：
3.7
通讯作者：
Arnab Das
中科院分区：
文献类型：
--
作者：
Roopayan Ghosh;Arnab Das
当一组紧密堆积的自由费米子被允许在一个空的一维晶格上扩散时，扩散的粒子可以在晶格的不同部分之间产生纠缠。我们发现，尽管无序破坏晶格的平移不变性(TI)会减缓局域能级的扩散，但只要子系统位于单粒子局域化长度之内，子系统的纠缠熵仍然可以得到显著的增强。我们表明，这种增强背后的主要机制是由于后向散射导致的互信息传输导致子部分之间的粒子重入交换。我们讨论了与这一现象相关的长度和时间尺度。我们研究了用准周期势和无规势破缺TI的现象。我们进一步探讨了仅在初始状态下随机性的影响。即使在TI晶格中，这也表现出类似的增强效应。我们还讨论了周期势的特殊情况，其中出现了定性上相似的现象，尽管在这种情况下后向散射的相干性导致了我们简单但一般的图像没有捕捉到的效果。
When a group of compactly packed free fermions is allowed to spread over an empty one-dimensional lattice, the spreading particles can create entanglement between different parts of the lattice. We show, although breaking of translational invariance (TI) of the lattice by disorder slows down the spreading of local observables, the entanglement entropy of a subsystem can nonetheless receive a remarkable enhancement as long as the subsystem lies within the single-particle localization length. We show the main mechanism behind this enhancement is the reentrant exchange of particles between the subparts due to transport of mutual information due to backscattering. We discuss the length and timescales relevant to the phenomenon. We study the phenomenon for breaking of TI by both quasiperiodic and random potentials. We further explore the effect of randomness only in the initial state. This also exhibits a similar enhancement effect even in a TI lattice. We also touch upon the special case of periodic potential where qualitatively similar phenomenology emerges, although the coherence in the backscattering in this case leads to effects not captured by our simple yet generic picture.
非平衡量子自旋链中的对数电流波动。
DOI：
10.1103/physreve.78.061115
发表时间：
2008
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
--
作者：
Antal,T;Krapivsky,PL;Rakos,A
通讯作者：
Rakos,A