Optimal electron propagation on a quantum chain by a topological phase

TL;DR

This paper demonstrates that introducing a topological quantum phase in a quantum chain significantly enhances electron transmission by reducing wavepacket spreading and enabling near-coherent propagation over large distances.

Contribution

It reveals that a topological quantum phase can optimize electron propagation in a quantum chain, improving fidelity and coherence during state transfer.

Findings

Topological phase reduces wavepacket spreading

Enhanced fidelity over large distances

Quasi-linear dispersion achieved

Abstract

We study the quantum diffusion of an electron in a quantum chain starting from an initial state localized around a given site. As the wavepacket diffuses, the probability of reconstructing the initial state on another site diminishes drastically with the distance. In order to optimize the state transmission we find that a topological quantum phase can be introduced. The effect of this phase is the reduction of wavepacket spreading together with almost coherent group propagation. In this regime, the electron has a quasi-linear dispersion and high fidelity can be achieved also over large distances in terms of lattice spacing.