# Noise, delocalization, and quantum diffusion in one-dimensional tight-binding models

## TL;DR

This paper studies how white noise influences quantum diffusion in one-dimensional tight-binding models, revealing that noise can induce delocalization and transition systems into diffusive phases, which aids understanding of disorder-noise interplay.

## Contribution

It demonstrates that white noise can delocalize localized quantum systems in 1D tight-binding models, enabling controlled exploration of quantum phases and disorder effects.

## Key findings

- White noise induces delocalization in localized systems.
- Noise can transition systems into diffusive phases.
- Controlled noise application helps explore quantum phase behavior.

## Abstract

As an unusual type of anomalous diffusion behavior, the (transient) superballistic transport has been experimentally observed recently but it is not well understood yet. In this paper, we investigate the white noise effect (in Markov approximation) on the quantum diffusion in 1D tight-binding model with periodic, disordered and quasi-periodic region of size L attached to two perfect lattices at both ends in which the wave packet is initially located at the center of the sublattice. We find that in some completely localized system inducing noise could delocalize the system to desirable diffusion phase. This controllable system may be used to investigate the interplay of disorder and white noise, as well as exploring exotic quantum phase.