Quantum Corrections Effect on Matter Wave Transport in Disordered Optical Potential

Abstract

In this study, we present a numerical investigation into the average local current density, which describes the density propagation of a matter wave characterized by energy  and wave vector  in a long-range disordered optical potential. Our approach begins with the application of the Bethe-Salpeter equation to calculate the static current density, denoted as in the weak localization regime. This analysis helps us, to know how to pass from classical diffusion to quantum diffusion. The numerical results reveal a significant wave packet spectrum in the current d

In this study, we present a numerical investigation into the average local current density, which describes the density propagation of a matter wave characterized by energy  and wave vector  in a long-range disordered optical potential. Our approach begins with the application of the Bethe-Salpeter equation to calculate the static current density, denoted as in the weak localization regime. This analysis helps us, to know how to pass from classical diffusion to quantum diffusion. The numerical results reveal a significant wave packet spectrum in the current density, demonstrating the impact of numerous counter-propagating amplitudes generated by multiple diffusion induced interferences. The solution of the Bethe-Salpeter equation, denoted as , takes into account the quantum interferences that are responsible for the complete suppression of transport. At last, we examine the constant diffusion at finite disorder strength to find the Anderson localisation transition.

ensity, demonstrating the impact of numerous counter-propagating amplitudes generated by multiple diffusion induced interferences. The solution of the Bethe-Salpeter equation, denoted as , takes into account the quantum interferences that are responsible for the complete suppression of transport. At last, we examine the constant diffusion at finite disorder strength to find the Anderson localisation transition.