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- W1966756504 abstract "In this paper we present a mathematical investigation of the phenomenon of dynamical localization in a class of quasi-periodically and periodically time-dependent two-level systems. Our results are based on a sort of “renormalization” procedure, which is developed here in a systematic way in order to adapt it to the case of dynamical localization. In the quasi-periodic case this procedure leads to a formal perturbative expansion free of secular terms. In the periodic case a convergent perturbative solution is obtained and, in particular, a convergent perturbative expansion for the secular frequency is presented. The case of ac–dc fields is discussed in some detail, leading to the conclusion that the phenomenon of dynamical localization is not exact in that situation." @default.
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- W1966756504 date "2003-04-21" @default.
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- W1966756504 title "Perturbative analysis of dynamical localization" @default.
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- W1966756504 doi "https://doi.org/10.1063/1.1562750" @default.
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