Random Kronig-Penney-type potentials for ultracold atoms using dark states

TL;DR

This paper proposes a method to create quasi-random potentials for ultracold atoms using dark states and speckle laser fields, demonstrating enhanced Anderson localization effects compared to traditional speckle potentials.

Contribution

It introduces a novel approach to generate dark-state based quasi-random potentials that resemble Kronig-Penney-type Hamiltonians, with implications for controlling localization in ultracold atoms.

Findings

Localization length is significantly decreased in dark-state potentials.

Dark-state potentials exhibit properties similar to Kronig-Penney models.

Enhanced Anderson localization observed compared to standard speckle potentials.

Abstract

A construction of a quasi-random potential for cold atoms using dark states emerging in $\Lambda$ {level configuration} is proposed. Speckle laser fields are used as a source of randomness. Anderson localisation in such potentials is studied and compared with the known results for the speckle potential itself. It is found out that the localisation length is greatly decreased due to the non-linear fashion in which dark-state potential is obtained. In effect, random dark state potentials resemble those occurring in random Kronig-Penney-type Hamiltonians.