Semiclassical spectral function for matter waves in random potentials
arXiv:1411.2412 · doi:10.1088/1751-8113/48/24/245102
Abstract
An -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
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Cited by in corpus (19)
- Measurement of spectral functions of ultracold atoms in disordered potentials
- Elastic Scattering Time of Matter-Waves in Disordered Potentials
- Critical dynamics at the Anderson localization mobility edge
- Phase diagram of the 3D Anderson model for uncorrelated speckle potentials
- Coherent back and forward scattering peaks in the quantum kicked rotor
- Semiclassical spectral function and density of states in speckle potentials
- Quench dynamics of a weakly interacting disordered Bose gas in momentum space
- Postquench prethermalization in a disordered quantum fluid of light
- Airy-averaged gradient corrections for two-dimensional fermion gases
- Strong disorder in nodal semimetals: Schwinger-Dyson--Ward approach
- First-principles quantum corrections for carrier correlations in double-layer two-dimensional heterostructures
- Spectral Functions of One-Dimensional Systems with Correlated Disorder
- Localization of wave packets in one-dimensional random potentials
- Spectral functions and localization landscape theory in speckle potentials
- Dynamical emergence of a Kosterlitz-Thouless transition in a disordered Bose gas following a quench
- Ultracold Atoms in Disordered Potentials: Elastic Scattering Time in the Strong Scattering Regime
- Emergence of damped-localized excitations of the Mott state due to disorder
- From percolation transition to Anderson localization in one-dimensional speckle potentials
- Bichromatic state-dependent disordered potential for Anderson localization of ultracold atoms