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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2021

Effective Hamiltonians for almost-periodically driven quantum systems

Résumé

We present an effective Hamiltonian theory available for some quasi-periodically driven quantum systems which does not need the knowledge of the Fourier frequencies of the control signal. It could also be available for some chaotically driven quantum systems. It is based on the Koopman approach which generalizes the Floquet approach used with periodically driven systems. We show the properties of the quasi-energy states (eigenvectors of the effective Hamiltonian) as quasi-recurrent states of the quantum system.

Dates et versions

hal-03331781 , version 1 (02-09-2021)

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David Viennot. Effective Hamiltonians for almost-periodically driven quantum systems. Journal of Physics A: Mathematical and Theoretical, In press, ⟨10.1088/1751-8121/ac22e6⟩. ⟨hal-03331781⟩
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