2004/04/30 by Marco Frasca · 2 citations
Mathematics · Physics and Astronomy · #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #Spectroscopy and Quantum Chemical Studies #cond-mat.mes-hall #math-ph #math.MP #physics.atom-ph #quant-ph
paper · pdf · doi:10.1103/physrevb.71.073301
published as Phys. Rev. B 71, 073301 (2005) · 7 pages, 2 figures. Final version accepted for publication in Physical Review B
arxiv created 2004/11/18 · openalex publication_date 2005/02/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A general result is presented on the lack of second-order corrections and on the form of the leading-order Floquet quasienergies in the high-frequency approximation for a two-level driven system. Then, by a perturbative approach in the high-frequency approximation that uses dual Dyson series and renormalization group techniques [M. Frasca, Phys. Rev. B 68, 165315 (2003)], we obtain a third-order correction for a sinusoidal driving field that is the same obtained by Barata and Wreszinski [Phys. Rev. Lett. 84, 2112 (2000)], confirming their result that localization deviates from the zeros of the zeroth-order Bessel function when higher-order terms are taken into account. Three different expressions for this correction are compared. An important consequence of this result is that it gives complete support to the correctness of both methods. Finally, the limitation of high-frequency approximations is presented by comparison with numerical results for a sinusoidal driving field.