Density of states in an optical speckle potential

Abstract

We study the single particle density of states of a one-dimensional speckle potential, which is correlated and non-Gaussian. We consider both the repulsive and the attractive cases. The system is controlled by a single dimensionless parameter determined by the mass of the particle, the correlation length and the average intensity of the field. Depending on the value of this parameter, the system exhibits different regimes, characterized by the localization properties of the eigenfunctions. We calculate the corresponding density of states using the statistical properties of the speckle potential. We find good agreement with the results of numerical simulations.

11 pages, 11 figures, revtex4

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• Supervised machine learning of ultracold atoms with speckle disorder
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• Semiclassical spectral function for matter waves in random potentials
• Phase diagram of the 3D Anderson model for uncorrelated speckle potentials
• Semiclassical spectral function and density of states in speckle potentials
• Macroscopic random Paschen-Back effect in ultracold atomic gases
• On functional determinants of matrix differential operators with multiple zero modes
• Localization from quantum interference in one-dimensional disordered potentials
• Instanton theory for bosons in disordered speckle potential
• Spectral functions and localization landscape theory in speckle potentials
• Localization landscape for interacting Bose gases in one-dimensional speckle potentials
• Anderson localization in optical lattices with speckle disorder
• Wave function correlations and the AC conductivity of disordered wires beyond the Mott-Berezinskii law
• Localization in periodically modulated speckle potentials
• Localization properties of one-dimensional speckle potentials in a box
• Characterizing quantum gases in time-controlled disorder realizations using cross-correlations of density distributions
• One-dimensional matter waves as a multi-state bit