Anisotropy effects on the quantum transport of atomic matter waves

TL;DR

This paper investigates how anisotropic scattering influences quantum transport of ultracold atoms in 3D optical potentials, highlighting quantum corrections and localization effects through theoretical calculations and comparison with experiments.

Contribution

It provides a detailed analysis of anisotropic scattering effects on quantum transport properties using the first Born approximation, including quantum corrections and localization phenomena.

Findings

Anisotropic scattering significantly affects diffusion and localization.

Quantum interference modifies transport parameters.

Results align with previous theoretical and experimental data.

Abstract

We discuss effects of anisotropic scattering in transport properties of ultracold atoms in three-dimensional optical potentials. Within the realm of the first Born approximation, we calculate the self energy, the scattering mean free time, the scattering mean free path, and the anisotropy factor. The behavior of the diffusion constant as a function of the wavenumber is also examined in diffusive and weak localization regimes. We show that these quantities are affected by quantum corrections due to the interference caused by disorder. The dimensionless conductance is also evaluated using the scaling theory of localization. Our results are compared with previous theoretical and the experimental results.