Quantum Walk in Periodic Potential on a Line and a Model of Interacting Opinions

TL;DR

This paper explores quantum walk behavior in periodic potentials, focusing on localization and recurrence, and introduces a model for opinion dynamics with multiple choices, providing insights into quantum and social systems.

Contribution

It presents a combined study of quantum walk localization phenomena and a novel opinion dynamics model with multiple options.

Findings

Quantum walk exhibits localization in periodic potentials.

Recurrence properties depend on potential parameters.

The opinion model captures complex social interactions.

Abstract

Two subjects are discussed in this work: localisation and recurrence in a model of quantum walk in a periodic potential, and a model of opinion dynamics with multiple choices of opinions.