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Dynamique quantique dans les potentiels lumineux

Abstract : Numerous studies on the quantum dynamics in periodic potential have been carried since the Bloch's work on the cristal electron dynamics. This dynamics can be experimentally observe with cold atoms. Such dynamics is here theoritically sutied in both case of a single atoms and a Bose-Einstein condensate. In a first part, the dynamics of a quantum particle in a one-dimensional, tilted ("washboard") and time-dependent lattice is studied. The description uses the Wannier-Stark states, which are localized in each site of the lattice, and provides a simple framework to describe the dynamics. Particular attention is devoted to the case of a time-dependent potential. The approach leads to analytical results that show a rich variety of dynamical behavior and illustrate the fundamental role of interference in quantum systems. In a second part we study the quantum dynamics of an ultracold quantum degenerate gas in a tilted optical lattice and show that it displays features very close to classical chaos. We show that its phase space is organized according to the Kolmogorov-Arnold-Moser theorem.
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https://tel.archives-ouvertes.fr/tel-00009871
Contributor : Quentin Thommen <>
Submitted on : Monday, August 1, 2005 - 11:37:25 AM
Last modification on : Wednesday, October 21, 2020 - 3:41:31 AM
Long-term archiving on: : Friday, April 2, 2010 - 9:59:13 PM

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Quentin Thommen. Dynamique quantique dans les potentiels lumineux. Physique Atomique [physics.atom-ph]. Université des Sciences et Technologie de Lille - Lille I, 2004. Français. ⟨tel-00009871⟩

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