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Journal Articles Journal of Mathematical Physics Year : 2015

On the control of spin-boson systems

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Abstract

In this paper, we study the so-called spin-boson system, namely, a two-level system in interaction with a distinguished mode of a quantized bosonic field. We give a brief description of the controlled Rabi and Jaynes-Cummings models and we discuss their appearance in the mathematics and physics literature. We then study the controllability of the Rabi model when the control is an external field acting on the bosonic part. Applying geometric control techniques to the Galerkin approximation and using perturbation theory to guarantee non-resonance of the spectrum of the drift operator, we prove approximate controllability of the system, for almost every value of the interaction parameter. (C) 2015 AIP Publishing LLC.

Dates and versions

hal-02332387 , version 1 (24-10-2019)

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Ugo Boscain, Paolo Mason, Gianluca Panati, Mario Sigalotti. On the control of spin-boson systems. Journal of Mathematical Physics, 2015, 56 (9), ⟨10.1063/1.4929543⟩. ⟨hal-02332387⟩
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