Engineering many-body quantum dynamics by disorder

TL;DR

This paper predicts a transition from localized to diffusive quantum dynamics in ultracold atoms within disordered potentials, driven by the interplay of interactions and disorder, using a spectral approach based on the Bose-Hubbard model.

Contribution

It introduces a spectral method to analyze many-body quantum dynamics and predicts a disorder-induced crossover in quantum transport regimes.

Findings

Crossover between localized and diffusive dynamics predicted

Transition depends on interaction strength and disorder level

Results can be experimentally verified in ultracold atom setups

Abstract

Going beyond the currently investigated regimes in experiments on quantum transport of ultracold atoms in disordered potentials, we predict a crossover between regular and quantum-chaotic dynamics when varying the strength of disorder. Our spectral approach is based on the Bose-Hubbard model describing interacting atoms in deep random potentials. The predicted crossover from localized to diffusive dynamics depends on the simultaneous presence of interactions and disorder, and can be verified in the laboratory by monitoring the evolution of typical experimental initial states.