# Two particle quantum walks with topological phases

**Authors:** Samuel Huberman

arXiv: 1702.00821 · 2017-02-06

## TL;DR

This paper numerically investigates two-particle split step quantum walks, analyzing how topological phases influence entanglement entropy and particle distributions across different initial states and disorder levels.

## Contribution

It introduces a detailed numerical study of two-particle quantum walks with topological phases, focusing on entanglement and spatial distributions under various conditions.

## Key findings

- Topological phases significantly affect entanglement entropy.
- Disorder influences particle distribution patterns.
- Initial states impact the quantum walk dynamics.

## Abstract

The split step quantum walk for two noninteracting particles is numerically simulated. The entropy of entanglement and spatial particle distributions are calculated for a range of initial states and for a range of disorder. The impact of varying the topological phase on these quantities is discussed.

## Full text

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## Figures

26 figures with captions in the complete paper: https://tomesphere.com/paper/1702.00821/full.md

## References

13 references — full list in the complete paper: https://tomesphere.com/paper/1702.00821/full.md

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Source: https://tomesphere.com/paper/1702.00821