Quantum localization corrections from the Bethe-Salpeter equation
arXiv:2302.02195 · doi:10.1016/j.physb.2023.414683
Abstract
We investigate coherent matter wave transport in isotropic 3D speckle potentials by using the Bethe-Salper equation and the self-consistent theory of localization. This model constitutes an efficient tool to properly evaluate corrections to Boltzmann diffusion by taking into consideration quantum interference terms between the multiple-scattering paths. We calculate analytically and numerically the static current density, the density of states, the dipolar contribution and the reduced diffusion coefficient. Our results reveal that quantum corrections to diffusive transport, known as weak localization may not only lead to shift the above quantities but affect also the position of the mobility edge.
arXiv comment12 pages, 6 figures
References in corpus (5)
- Anderson localization and nonlinearity in one dimensional disordered photonic lattices
- Statistical Signatures of Photon Localization
- Observation of the critical regime near Anderson localization of light
- Quantum transport of atomic matterwaves in anisotropic 2D and 3D disorder
- Anderson Localization of Matter Waves in 3D Anisotropic Disordered Potentials