Spectral functions and localization landscape theory in speckle potentials
arXiv:2111.13155 · doi:10.1103/PhysRevA.105.023314
Abstract
Spectral function is a key tool for understanding the behavior of Bose-Einstein condensates of cold atoms in random potentials generated by a laser speckle. In this paper we introduce a new method for computing the spectral functions in disordered potentials. Using a combination of the Wigner-Weyl approach with the landscape theory, we build an approximation for the Wigner distributions of the eigenstates in the phase space and show its accuracy in all regimes, from the deep quantum regime to the intermediate and semiclassical. Based on this approximation, we devise a method to compute the spectral functions using only the landscape-based effective potential. The paper demonstrates the efficiency of the proposed approach for disordered potentials with various statistical properties without requiring any adjustable parameters.
arXiv comment10 pages, 10 figures
References in corpus (17)
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Three-dimensional localization of ultracold atoms in an optical disordered potential
- Measurement of the mobility edge for 3D Anderson localization
- Coherent Matter Wave Transport in Speckle Potentials
- Quantum computers in phase space
- Cold atoms in the presence of disorder
- Effective confining potential of quantum states in disordered media
- Localization landscape theory of disorder in semiconductors I: Theory and modeling
- Mobility edge for cold atoms in laser speckle potentials
- Anderson localization of ultracold atoms: Where is the mobility edge?
- Localization of eigenfunctions via an effective potential
- Quantum transport of atomic matterwaves in anisotropic 2D and 3D disorder
- Measurement of spectral functions of ultracold atoms in disordered potentials
- Density of states in an optical speckle potential
- Semiclassical spectral function for matter waves in random potentials
- Wigner function for discrete phase space: exorcising ghost images
- Semiclassical spectral function and density of states in speckle potentials