Nonperturbative analysis of a model quantum system under time periodic forcing

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dc.creatorCostin, O.
dc.creatorCostin, R. D.
dc.creatorLebowitz, A. Rokhlenko J.
dc.date2006-08-16
dc.date.accessioned2026-07-07T07:20:38Z
dc.date.available2026-07-07T07:20:38Z
dc.descriptionWe 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. We show that for generic forcing which includes the sum of any finite number of harmonics, the system, started in a bound state will get fully ionized for large t irrespective of the magnitude or frequency of the forcing. There are however exceptional, very non-generic forcings that do not lead to full ionization. These include rather simple explicit periodic forcings for which the system evolves to a nontrivial localized stationary state related to eigenfunctions of the Floquet operator.
dc.identifierhttps://arxiv.org/abs/math-ph/0608038
dc.identifierhttp://arxiv.org/abs/math-ph/0608038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115015
dc.subjectMathematical Physics
dc.subject81Q05
dc.titleNonperturbative analysis of a model quantum system under time periodic forcing
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