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

Abstract

A construction of a quasirandom potential for cold atoms using dark states emerging in Λ 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 localization length is greatly decreased due to the nonlinear fashion in which dark-state potential is obtained. In effect, random dark-state potentials resemble those occurring in random Kronig-Penney-type Hamiltonians

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