Entanglement contour perspective for strong area law violation in a disordered long-range hopping model
Abstract
We numerically investigate the link between the delocalization-localization transition and entanglement in a disordered long-range hopping model of spinless fermions by studying various static and dynamical quantities. This includes the inverse participation ratio, level-statistics, entanglement entropy and number fluctuations in the subsystem along with quench and wave-packet dynamics. Finite systems show delocalized, quasi-localized and localized phases. The delocalized phase shows strong area-law violation whereas the (quasi)localized phase adheres to (for large subsystems) the strict area law. The idea of `entanglement contour' nicely explains the violation of area-law and its relationship with `fluctuation contour' reveals a signature at the transition point. The relationship between entanglement entropy and number fluctuations in the subsystem also carries signatures for the transition in the model. Results from Aubry-Andre-Harper model are compared in this context. The propagation of charge and entanglement are contrasted by studying quench and wavepacket dynamics at the single-particle and many-particle levels.
Keywords
Cite
@article{arxiv.1711.06338,
title = {Entanglement contour perspective for strong area law violation in a disordered long-range hopping model},
author = {Nilanjan Roy and Auditya Sharma},
journal= {arXiv preprint arXiv:1711.06338},
year = {2018}
}
Comments
16 pages, 16 figures