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Chaos quantique et micro-lasers organiques

Abstract : Quantum chaos research deals with connections between a wave system and its classical counterpart with a dynamical system which can be integrable, pseudo-integrable, mixed or chaotic. In this context, billiards are typical topics because their are made up of an infinite potential confining a free particule and so the dynamical system is easily modified by moving the boundary. To study this field, we have made flat micro-lasers with various shapes (stadium, disk, polygons, etc...). Actually, due to a formal analogy, the electromagnetic field plays the role of a quantum particule. The classical limit then corresponds to the geometrical optics limit.
The original aspect of our study is based on the use of organic materials. In fact their low refractive indexes facilitate the output coupling of the light confined inside the resonator. The generic features of these open billiards are very different from what is expected for equivalent closed systems. In particular, they reveal close links between wave and geometrical optics.
Concerning experiments, we have studied directions of emission and spectra. For the first ones, an analytical model has been proposed in the case of chaotic cavity. For spectra, a data processing has been developped to extract the geometrical length of the dominant periodic orbits. It has been proved to be very efficient in testing theoretical predictions (trace formula). Furthermore, a wave model for polygonal cavities as well as an analytical approach for disk continuous perturbations have been confirmed by numerical simulations.
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Contributor : Mélanie Lebental <>
Submitted on : Monday, December 17, 2007 - 12:05:07 PM
Last modification on : Monday, February 15, 2021 - 10:37:28 AM
Long-term archiving on: : Tuesday, September 21, 2010 - 3:01:31 PM


  • HAL Id : tel-00194350, version 2



Mélanie Lebental. Chaos quantique et micro-lasers organiques. Physique Atomique [physics.atom-ph]. Université Paris Sud - Paris XI, 2007. Français. ⟨tel-00194350v2⟩



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