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Shortcuts to adiabaticity for ultracold gases

Jean-François Schaff 1 
1 Systèmes quantiques fortement corrélés et atomes ultra-froids
INLN - Institut Non Linéaire de Nice Sophia-Antipolis
Abstract : In this thesis I explore the possibility of accelerating adiabatic processes for quantum systems. Experiments are performed with a trapped ultracold gas of Rubidium-87 atoms in two distinct regimes: with a one-dimensional thermal gas that can be considered non-interacting, and with a three-dimensional Bose-Einstein condensate for which interactions are dominant. In the first chapter, I recall some aspects of the theoretical description and important properties of such gases. The second chapter describes the Bose-Einstein condensation apparatus, mainly composed of two magneto-optical traps and a magnetic trap. In the third chapter, this setup is used to demonstrate that adiabatic processes -- in our case, the slow decompression and displacement of the gas -- can be dramatically accelerated by using a proper design of the time-dependent parameters of the system. The theoretical treatment is detailed and is not restricted to trapped gases. It may be applied to other physical systems described by either a linear or nonlinear Schrödinger equation containing a time-dependent harmonic potential. The final chapter is theoretical and not directly related to the others. In it I investigate the effect of disorder correlations on one-dimensional Anderson localization. I show that a degenerate mixture of Rubidium-87 and Potassium-41 atoms is well suited to study the localization-delocalization transition predicted by existing models of correlated disorder.
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Submitted on : Thursday, April 19, 2012 - 10:57:59 AM
Last modification on : Thursday, August 4, 2022 - 4:58:51 PM
Long-term archiving on: : Friday, July 20, 2012 - 2:23:31 AM


  • HAL Id : tel-00689017, version 1



Jean-François Schaff. Shortcuts to adiabaticity for ultracold gases. Atomic Physics [physics.atom-ph]. Université Nice Sophia Antipolis, 2011. English. ⟨NNT : ⟩. ⟨tel-00689017⟩



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