Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice
Abstract
A single-particle mobility edge (SPME) marks a critical energy separating extended from localized states in a quantum system. In one-dimensional systems with uncorrelated disorder, a SPME cannot exist, since all single-particle states localize for arbitrarily weak disorder strengths. However, if correlations are present in the disorder potential, the localization transition can occur at a finite disorder strength and SPMEs become possible. In this work, we find experimental evidence for the existence of such a SPME in a one-dimensional quasi-periodic optical lattice. Specifically, we find a regime where extended and localized single-particle states coexist, in good agreement with theoretical simulations, which predict a SPME in this regime.
Cite
@article{arxiv.1709.03478,
title = {Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice},
author = {Henrik P. Lüschen and Sebastian Scherg and Thomas Kohlert and Michael Schreiber and Pranjal Bordia and Xiao Li and S. Das Sarma and Immanuel Bloch},
journal= {arXiv preprint arXiv:1709.03478},
year = {2018}
}