Semiclassical spectral function for matter waves in random potentials

Abstract

An $\hslash$-expansion is presented for the ensemble-averaged spectral function of noninteracting matter waves in random potentials. We obtain the leading quantum corrections to the deep classical limit at high energies by the Wigner-Weyl formalism. The analytical results are checked with success against numerical data for Gaussian and laser speckle potentials with Gaussian spatial correlation in two dimensions.

18 pages, 3 figures; v2: minor corrections, published version

References in corpus (6)

• Anderson localization in Bose-Einstein condensates
• One-dimensional Anderson localization in certain correlated random potentials
• Localization of Matter Waves in 2D-Disordered Optical Potentials
• Mobility edge for cold atoms in laser speckle potentials
• Diffusive density profiles in a cold-atom expansion experiment
• Coherent potential approximation for spatially correlated disorder

Cited by in corpus (2)

• Semiclassical spectral function and density of states in speckle potentials
• First-principles quantum corrections for carrier correlations in double-layer two-dimensional heterostructures