# Quantum evolution in disordered transport

## TL;DR

This paper investigates how weak disorder affects quantum state propagation in waveguides, focusing on transmittance, wave-packet distortion, backscattering, and dephasing, to identify conditions for reliable quantum information transmission.

## Contribution

It introduces a quantum master equation approach to analyze nonequilibrium dynamics of disordered quantum transport, providing new insights into disorder effects on quantum communication.

## Key findings

- Quantifies wave-packet distortion and backscattering due to disorder
- Identifies conditions for reliable quantum state transmission
- Provides a framework for analyzing disorder-induced dephasing

## Abstract

We analyze the propagation of quantum states in the presence of weak disorder. In particular, we investigate the reliable transmittance of quantum states, as potential carriers of quantum information, through disorder-perturbed waveguides. We quantify wave-packet distortion, backscattering, and disorder-induced dephasing, which all act detrimentally on transport, and identify conditions for reliable transmission. Our analysis relies on the treatment of the nonequilibrium dynamics of ensemble-averaged quantum states in terms of quantum master equations.