Effects of long-range hopping and interactions on quantum walk in ordered and disordered lattices

TL;DR

This paper investigates how long-range hopping and interactions influence quantum walk dynamics of hard-core bosons in ordered and disordered 1D lattices, revealing that hopping range significantly affects correlation patterns and localization.

Contribution

It demonstrates that long-range hopping impacts correlation asymmetry and localization more than interaction range, providing new insights into quantum transport phenomena.

Findings

Long-range hopping causes asymmetry in correlation diagrams.

Weakly repulsive interactions enhance tunneling through impurities.

Long-range hopping significantly affects localization and scattering.

Abstract

We study the effects of long-range hopping and long-range inter-particle interactions on quantum walk of hard-core bosons in ideal and disordered one-dimensional lattices. We find that the range of hopping has a much more significant effect on the particle correlation dynamics than the range of interactions. We illustrate that long-range hopping makes the correlation diagrams asymmetric with respect to the sign of the interaction and examine the relative role of repulsive and attractive interactions on the dynamics of scattering by isolated impurities and Anderson localization in dis- ordered lattices. We show that weakly repulsive interactions increase the probability of tunnelling through isolated impurities and decrease the localization.