Emergence of multiple localization transitions in a one-dimensional quasiperiodic lattice

TL;DR

This paper predicts multiple localization transitions in a one-dimensional quasiperiodic lattice driven by an additional staggered potential, with potential experimental detection in quantum gas setups.

Contribution

It demonstrates that multiple localization transitions can occur in a 1D Aubry-André model with a staggered potential without constraints on the quasiperiodic potential.

Findings

Number of localization transitions depends on quasiperiodic potential strength.

Expansion dynamics reveal signatures of localization transitions.

Proposes experimental detection scheme in quantum gas experiments.

Abstract

Low dimensional quasiperiodic systems exhibit localization transitions by turning all quantum states localized after a critical quasidisorder. While certain systems with modified or constrained quasiperiodic potential undergo multiple localization transitions in one dimension, we predict an emergence of multiple localization transitions without directly imposing any constraints on the quasiperiodic potential. By considering a one-dimensional system described by the Aubry-And\'{r}e (AA) model, we show that an additional staggered onsite potential can drive the system through a series of localization transitions as a function of the staggered potential. Interestingly, we find that the number of localization transitions strongly depends on the strength of the quasiperiodic potential. Moreover, we obtain the signatures of these localization transitions in the expansion dynamics and propose an experimental scheme for their detection in the quantum gas experiment.