# Anderson Localization for Very Strong Speckle Disorder

## TL;DR

This paper investigates wave localization in strong speckle disorder, deriving a new expression for localization length in regimes where traditional approximations fail, relevant for cold atom experiments.

## Contribution

It provides a novel analytical expression for localization length in the large disorder regime, extending understanding beyond the Born approximation.

## Key findings

- Localization length decreases with increasing disorder
- Effective mobility edge disappears at large disorder
- Phase becomes strongly localized in the quasi-metallic regime

## Abstract

We evaluate the localization length of the wave (or Schroedinger) equation in the presence of a disordered speckle potential. This is relevant for experiments on cold atoms in optical speckle potentials. We focus on the limit of large disorder, where the Born approximation breaks down and derive an expression valid in the "quasi-metallic" phase at large disorder. This phase becomes strongly localized and the effective mobility edge disappears.