Vers une étude spectroscopique de la transition d'Anderson

Abstract : This manuscript summarizes the work of a thesis on Anderson's localization and transport of ultra-cold matter waves in disordered media. This is an experimental work aiming to study the Anderson transition separating the energy states of a quantum particle placed in a disordered potential into two phases: localized states and diffusive states.First, we will recall some fundamental concepts about wave localization and how such phenomenon is linked with some interference effects. Then, we will give a global description of the experimental set-up allowing to prepare the ultra-cold atomic samples used as a source of quantum matter waves, and to generate the speckle field used as disordered potential for the atoms.At the end of this introductory work, the concepts of localization introduced previously will be applied to the transport of cold atoms in a speckle field. A brief state of the art of cold-atom experiments dealing with the Anderson transition will allow us to set the limits of these works in terms of energy control on the atomic states. These limitations will then motivate the implementation of a new experimental "spectroscopic" method allowing a complete control of the energy of the atoms placed in disorder.The concept of spectral function will then be presented as a fundamental tool for characterizing energy states and for calibrating the energy reliability of the spectroscopic method. Finally, the experimental results on the measurement of spectral functions by this new spectroscopic method will show that it would be indeed possible to study the Anderson transition with a much higher energy resolution than the previous experiments.
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Vincent Denechaud. Vers une étude spectroscopique de la transition d'Anderson. Optique [physics.optics]. Université Paris-Saclay, 2018. Français. ⟨NNT : 2018SACLO002⟩. ⟨tel-01802753⟩

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