Controlling disorder with periodically modulated interactions

TL;DR

This paper explores how periodic modulation of interactions in a disordered one-dimensional system can create tunable localization effects and an effective model with unique disorder characteristics, advancing cold atom experimental techniques.

Contribution

It introduces a novel approach to control disorder effects using periodic interaction modulation, leading to an effective model with small diagonal and large off-diagonal disorder.

Findings

Derived an approximate Anderson localization length.

Confirmed the existence of extended resonant modes.

Showed how modulation acts as a tunable band-pass filter for momenta.

Abstract

We investigate a celebrated problem of one dimensional tight binding model in the presence of disorder leading to Anderson localization from a novel perspective. A binary disorder is assumed to be created by immobile heavy particles for the motion of the lighter, mobile species in the limit of no interaction between mobile particles. Fast periodic modulations of interspecies interactions allow us to produce an effective model with small diagonal and large off-diagonal disorder unexplored in cold atoms experiments. We present an expression for an approximate Anderson localization length and verify the existence of the well known extended resonant mode and analyze the influence of nonzero next-nearest neighbor hopping terms. We point out that periodic modulation of interaction allow disorder to work as a tunable band-pass filter for momenta.