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Contributions aux approches hamiltonienne et markovienne des systèmes quantiques ouverts

Abstract : In quantum mechanical, an open quantum system is a small system described by a finite dimensional Hilbert space in interaction with an exterior system (heat bath, bosonic reservoir, environment...).

To describe this interaction, there is two different appoaches have usually been considered by physists as well as mathematicians: The Hamiltonian and the Markovian approaches.

Here, we systematically compare the Hamiltonian and Markovian approaches of quantum open system theory, in the cases of the spin-boson model and Pauli-Fierz model. Moreover, we give a Lindblad model for a spin chains coupled to several heat baths. We further investigate the relation between repeated quantum interaction models and the law density limit. Finally, we study the properties of discrete evolution equations associated to repeated quantum interaction models which are directed by classical discrete noises.
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https://tel.archives-ouvertes.fr/tel-00174273
Contributor : Ameur Dhahri <>
Submitted on : Saturday, September 22, 2007 - 4:20:55 PM
Last modification on : Wednesday, July 8, 2020 - 12:43:14 PM
Long-term archiving on: : Thursday, April 8, 2010 - 10:09:07 PM

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  • HAL Id : tel-00174273, version 1

Citation

Ameur Dhahri. Contributions aux approches hamiltonienne et markovienne des systèmes quantiques ouverts. Mathématiques [math]. Université Claude Bernard - Lyon I, 2007. Français. ⟨tel-00174273⟩

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