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pro vyhledávání: '"Augier, Nicolas"'
We address the problem of symmetry reduction of optimal control problems under the action of a finite group from a measure relaxation viewpoint. We propose a method based on the moment-SOS aka Lasserre hierarchy which allows one to significantly redu
Externí odkaz:
http://arxiv.org/abs/2307.03787
Autor:
Augier, Nicolas
Le but principal de la thèse est d'étudier les liens entre les singularités du spectre d'un Hamiltonien quantique contrôlé et les questions de contrôlabilité de l'équation Schr"odinger associée.La principale question qui se pose est de savoi
Externí odkaz:
http://www.theses.fr/2019SACLX042/document
In this paper we study up to which extent we can apply adiabatic control strategies to a quantum control model obtained by rotating wave approximation. In particular, we show that, under suitable assumptions on the asymptotic regime between the param
Externí odkaz:
http://arxiv.org/abs/2005.02737
In the physics literature it is common to see the rotating wave approximation andthe adiabatic approximation used "in cascade" to justify the use of chirped pulses for two-level quantum systems driven by one external field, in particular when the res
Externí odkaz:
http://arxiv.org/abs/2003.05831
Akademický článek
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We study one-parametric perturbations of finite dimensional real Hamiltonians depending on two controls, and we show that generically in the space of Hamiltonians, conical intersections of eigenvalues can degenerate into semi-conical intersections of
Externí odkaz:
http://arxiv.org/abs/1909.02271
In this paper, we discuss the compatibility between the rotating-wave and the adiabatic approximations for controlled quantum systems. Although the paper focuses on applications to two-level quantum systems, the main results apply in higher dimension
Externí odkaz:
http://arxiv.org/abs/1909.02226
Publikováno v:
In Journal of Differential Equations 5 May 2022 318:414-442
Publikováno v:
In Automatica February 2022 136
Publikováno v:
In IFAC PapersOnLine 2021 54(17):77-80