Two Level Systems Driven by a Stochastic Perturbation |
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Authors: | Marco Maioli Andrea Sacchetti |
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Affiliation: | (1) Department of Mathematics, University of Modena and Reggio Emilia, Via Campi 213/B, 41100 Modena, Italy |
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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/ε, where ε 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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Keywords: | Two level quantum systems dynamical localization random processes estimates of covariance 81-xx 82A31 60H10 |
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