Noisy quantum walks of two indistinguishable interacting particles

TL;DR

This paper studies how two indistinguishable interacting particles perform quantum walks on a noisy lattice, revealing how noise and interactions influence their propagation, with implications for quantum transport in noisy environments.

Contribution

It introduces a realistic non-Gaussian noise model and analyzes its impact on two-particle quantum walks, highlighting the interplay between noise, interaction, and indistinguishability.

Findings

Fast noise accelerates particle propagation compared to noiseless case.

Interaction and noise together modify the band structure, affecting dynamics.

The model provides insights into quantum transport under realistic environmental conditions.

Abstract

We investigate the dynamics of continuous-time two-particle quantum walks on a one-dimensional noisy lattice. Depending on the initial condition, we show how the interplay between particle indistinguishability and interaction determines distinct propagation regimes. A realistic model for the environment is considered by introducing non-Gaussian noise as time-dependent fluctuations of the tunneling amplitudes between adjacent sites. We observe that the combined effect of particle interaction and fast noise (weak coupling with the environment) provides a faster propagation compared to the noiseless case. This effect can be understood in terms of the band structure of the Hubbard model, and a detailed analysis as a function of both noise and system parameters is presented.