Entanglement between Distant Regions in Disordered Quantum Wires

被引:3
作者
Schreiber, Yishai [1 ]
Berkovits, Richard [1 ]
机构
[1] Bar Ilan Univ, Dept Phys, Jack & Pearl Resnick Inst, IL-5290002 Ramat Gan, Israel
关键词
Anderson model; entanglement negativity; many-body phenomena; necklace states;
D O I
10.1002/qute.201900113
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The entanglement negativity for spinless fermions in a strongly disordered 1D Anderson model is studied. For two close regions, the negativity is log-normally distributed, and is suppressed by repulsive interactions. With increasing distance between the regions, the typical negativity decays, but there remains a peak in the distribution, also at high values, representing highly entangled distant regions. For intermediate distances, in the noninteracting case, two distinct peaks are observed. As a function of interaction strength, the two peaks merge into each other. The abundance and nature of these entangled regions is studied. The relation to resonances between single-particle eigenstates is demonstrated. Thus, although the system is strongly disordered, it is nevertheless possible to encounter two far-away regions which are entangled.
引用
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页数:8
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