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• W3100532918 abstract "We analyze the time evolution of a one-dimensional quantum system with an attractive delta function potential whose strength is subjected to a time periodic (zero mean) parametric variation $eta(t)$. We show that for generic $eta(t)$, which includes the sum of any finite number of harmonics, the system, started in a bound state will get fully ionized as $ttoinfty$. This is irrespective of the magnitude or frequency (resonant or not) of $eta(t)$. There are however exceptional, very non-generic $eta(t)$, that do not lead to full ionization, which include rather simple explicit periodic functions. For these $eta(t)$ the system evolves to a nontrivial localized stationary state which is related to eigenfunctions of the Floquet operator." @default.
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• W3100532918 date "2001-01-12" @default.
• W3100532918 modified "2023-10-15" @default.
• W3100532918 title "Evolution of a Model Quantum System¶ Under Time Periodic Forcing:¶Conditions for Complete Ionization" @default.
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• W3100532918 doi "https://doi.org/10.1007/s002200100455" @default.
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