Here we consider a two level system driven by an external harmonic field whose amplitude is perturbed by a white noise term. In the limit of small splitting, dynamical localization, i.e. coherent destruction of tunneling, is proved for times of the order of 1/epsilon, where epsilon is the two-level splitting. The same type of localization is proved if the driving field is simply the white noise.
Two level systems driven by a stochastic perturbation / Maioli, Marco; Sacchetti, Andrea. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 119:(2005), pp. 1383-1396. [10.1007/s10955-005-5106-6]
Two level systems driven by a stochastic perturbation
MAIOLI, Marco;SACCHETTI, Andrea
2005
Abstract
Here we consider a two level system driven by an external harmonic field whose amplitude is perturbed by a white noise term. In the limit of small splitting, dynamical localization, i.e. coherent destruction of tunneling, is proved for times of the order of 1/epsilon, where epsilon is the two-level splitting. The same type of localization is proved if the driving field is simply the white noise.
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