State-dependent disordered potential for studies of Anderson transition with ultracold atoms

Musawwadah Mukhtar 1
1 Laboratoire Charles Fabry / Optique atomique
LCF - Laboratoire Charles Fabry
Abstract : In this manuscript, we present our progress towards realizing a spectroscopic method to study of Anderson transition with ultracold atoms. This relies on the realization of state-dependent disordered potential whereby the disorder is significant only for one of two involved spin-states. Combined with technique of radio-frequency transfer from the disorder-free state to the state with controlled disorder, it becomes possible to load a matter wave in the disorder in a well-defined energy states. As a proof of principle, we have performed measurements of the spectral functions of ultracold atoms in disordered potentials, which are directly proportional to the transfer rate of the atoms. We present the results showing excellent agreement with numerical calculations. This has opened up prospects for further studies of the Anderson transition. In particular we seek to observe transition between the diffusive and the localized states separated by a critical energy, the so-called mobility edge. Such study requires realization of state-dependent disorder which allows long propagation time in the disorder in order to distinguish the two phases. For this purpose, we present a new scheme of the state-dependent disorder with two laser speckles (bichromatic laser speckle). This paves the way towards spectroscopic approach of Anderson transition with ultracold atoms with energy resolution much higher than those in the previous experiments.
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Musawwadah Mukhtar. State-dependent disordered potential for studies of Anderson transition with ultracold atoms. Optics [physics.optics]. Université Paris-Saclay, 2019. English. ⟨NNT : 2019SACLO001⟩. ⟨tel-02068720v2⟩

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