Many-body Anderson localization in one dimensional systems

TL;DR

This paper demonstrates that Anderson localization persists in one-dimensional disordered systems even with attractive interactions, supported by analytical calculations and numerical simulations.

Contribution

It provides the first analytical and numerical evidence that many-body interactions do not destroy Anderson localization in 1D systems.

Findings

Localization length can be analytically computed for weak disorder.

Numerical simulations confirm the analytical predictions.

Localization persists despite attractive interactions.

Abstract

We show, using quasi-exact numerical simulations, that Anderson localization of one-dimensional particles in a disordered potential survives in the presence of attractive interaction between particles. The localization length of the composite particle can be computed analytically for weak disorder and is in good agreement with the quasi-exact numerical observations using Time Evolving Block Decimation. Our approach allows for simulation of the entire experiment including the final measurement of all atom positions.