Entanglement contour perspective for strong area law violation in a disordered long-range hopping model.
We numerically investigate the link between the delocalization-localization transition and bipartite entanglement entropy in a disordered long-range hopping model of non-interacting spinless fermions by studying various static and dynamical quantities. This includes the inverse paricipation ratio, level-statistics, entanglement entropy and number fluctuations in the subsytem 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. The relationship between entanglement entropy and number fluctuations in the subsystem is also investigated and the relationship seems to show 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.
Publisher URL: http://arxiv.org/abs/1711.06338
DOI: arXiv:1711.06338v1
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