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arXiv · 1709.03478

Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice

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

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cond-mat.quant-gascond-mat.dis-nncond-mat.stat-mechcond-mat.str-elquant-ph

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Henrik P. Lüschen, Sebastian Scherg, Thomas Kohlert, Michael Schreiber, Pranjal Bordia, Xiao Li, S. Das Sarma, Immanuel Bloch. 2017-09-11. Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice. https://doi.org/10.1103/physrevlett.120.160404

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