Entanglement between Distant Regions in Disordered Quantum Wires. Issue 4 (24th February 2020)

• Record Type: Journal Article
• Authors: Schreiber, Yishai; Berkovits, Richard
• Is Part Of: Advanced quantum technologies. Volume 3:Issue 4(2020)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2020-02-24
• Subjects: Anderson model -- entanglement negativity -- many‐body phenomena -- necklace states; Quantum theory -- Periodicals; Quantum computing -- Periodicals; Quantum chemistry -- Periodicals; Quantum electronics -- Periodicals; 537.5
• DOI: 10.1002/qute.201900113
• Languages: English
• ISSNs: 2511-9044

Abstract

Abstract: 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. Abstract : Entanglement negativity, a measure of quantum entanglement between two regions in a larger system, is studied in disordered systems. Typically it decays with distance between regions, but due to rare resonances between states there are cases where the negativity does not decay. The distribution is studied and a specific example is presented.