Approximate controllability of the Jaynes-Cummings dynamics

作者:Pinna Lorenzo*; Panati Gianluca
来源:Journal of Mathematical Physics, 2018, 59(7): 072101.
DOI:10.1063/1.5023587

摘要

We investigate the controllability of the Jaynes-Cummings dynamics in the resonant and nearly resonant regime. We analyze two different types of control operators acting on the bosonic part, corresponding-in the application to cavity Quantum Electro Dynamics-to an external electric and magnetic field, respectively. For these models, we prove approximate controllability for all values of the coupling constant g is an element of R, except those in a countable set S* which is explicitly characterized in the statement. The proof relies on a spectral analysis which yields the non-resonance of the spectrum for every g is an element of R \ S*. Published by AIP Publishing.

  • 出版日期2018-7

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