Anderson localization of a Tonks-Girardeau gas in potentials with controlled disorder

TL;DR

This paper theoretically explores Anderson localization in a one-dimensional Tonks-Girardeau gas with controlled disorder, showing exponential decay of density tails and increased coherence in the localized steady state.

Contribution

It demonstrates the occurrence of Anderson localization in a strongly interacting 1D Bose gas and analyzes the evolution of density and coherence properties in disordered potentials.

Findings

Density tails decay exponentially in the localized state.

Coherence increases in the density tails.

Localization occurs after trap release in disordered potentials.

Abstract

We theoretically demonstrate features of Anderson localization in the Tonks-Girardeau gas confined in one-dimensional (1D) potentials with controlled disorder. That is, we investigate the evolution of the single particle density and correlations of a Tonks-Girardeau wave packet in such disordered potentials. The wave packet is initially trapped, the trap is suddenly turned off, and after some time the system evolves into a localized steady state due to Anderson localization. The density tails of the steady state decay exponentially, while the coherence in these tails increases. The latter phenomenon corresponds to the same effect found in incoherent optical solitons.