Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice Article Swipe

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Henrik P. Lüschen , Sebastian Scherg , Thomas Kohlert , Michael Schreiber , Pranjal Bordia , Xiao Li , S. Das Sarma , Immanuel Bloch ·

YOU? · · 2018 · Open Access · · DOI: https://doi.org/10.1103/physrevlett.120.160404 · OA: W2754750508

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, in a quasiperiodic system, the localization transition can occur at a finite detuning strength and SPMEs become possible. In this Letter, we find experimental evidence for the existence of such a SPME in a one-dimensional quasiperiodic 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.