Exactly soluble model of a quantum system in external field with periodic time dependence

1990 ◽  
Vol 16 (2) ◽  
pp. 129-140
Author(s):  
J. Révai
Entropy ◽  
2021 ◽  
Vol 23 (1) ◽  
pp. 99
Author(s):  
Vladimir Akulin

In the framework of an exactly soluble model, one considers a typical problem of the interaction between radiation and matter: the dynamics of population in a multilevel quantum system subject to a time dependent perturbation. The algebraic structure of the model is taken richly enough, such that there exists a strong argument in favor of the fact that the behavior of the system in the asymptotic of long time has a universal character, which is system-independent and governed by the functional property of the time dependence exclusively. Functional properties of the excitation time dependence, resulting in the regimes of resonant excitation, random walks, and dynamic localization, are identified. Moreover, an intermediate regime between the random walks and the localization is identified for the polyharmonic excitation at frequencies given by the Liouville numbers.


1994 ◽  
Vol 419 (3) ◽  
pp. 529-552 ◽  
Author(s):  
Ikuo Ichinose ◽  
Toshiyuki Ohbayashi

1962 ◽  
Vol 128 (6) ◽  
pp. 2687-2692 ◽  
Author(s):  
Neil R. Kestner ◽  
Oktay Sinanoḡlu

1970 ◽  
Vol 11 (3) ◽  
pp. 975-985 ◽  
Author(s):  
Shou Yung Li ◽  
Abraham Klein ◽  
R. M. Dreizler

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