Quantum localization corrections from the Bethe–Salpeter equation

We investigate coherent matter wave transport in isotropic 3D speckle potentials by using the Bethe–Salpeter equation and self-consistent theory of localization. This model constitutes an efficient tool to properly evaluate corrections Boltzmann diffusion taking into consideration quantum interference terms between multiple-scattering paths. calculate analytically numerically static current density, density states, dipolar contribution reduced coefficient. Our results reveal that diffusive transport, known as weak localization may not only lead shift above quantities but affect also position mobility edge.