Semiclassical spectral function and density of states in speckle potentials
arXiv:1606.02156 · doi:10.1103/PhysRevA.94.022114
Abstract
We present a novel analytical method for calculating the spectral function and the density of states in speckle potentials, valid in the semiclassical regime. Our approach relies on stationary phase approximations, allowing us to describe the singular quantum corrections at low energies. We apply it to the calculation of the spectral function and the density of states in one and two-dimensional speckle potentials. By connecting our results with those of previous work valid in the high energy sector, we end up with a consistent description of the whole energy spectrum, in good agreement with numerical simulations.
arXiv comment18 pages, 13 figures
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- Coherent back and forward scattering peaks in the quantum kicked rotor
- Quench dynamics of a weakly interacting disordered Bose gas in momentum space
- Postquench prethermalization in a disordered quantum fluid of light
- Spectral functions and localization landscape theory in speckle potentials
- Deep learning density functionals for gradient descent optimization
- Observation of the algebraic localization-delocalization transition in a 1D disordered potential with a bias force
- Ultracold Atoms in Disordered Potentials: Elastic Scattering Time in the Strong Scattering Regime
- From percolation transition to Anderson localization in one-dimensional speckle potentials
- Bichromatic state-dependent disordered potential for Anderson localization of ultracold atoms