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Two Level Systems Driven by a Stochastic Perturbation

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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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Authors and Affiliations

  1. Department of Mathematics, University of Modena and Reggio Emilia, Via Campi 213/B, 41100, Modena, Italy

    Marco Maioli & Andrea Sacchetti

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  1. Marco Maioli
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  2. Andrea Sacchetti
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Correspondence to Andrea Sacchetti.

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Maioli, M., Sacchetti, A. Two Level Systems Driven by a Stochastic Perturbation. J Stat Phys 119, 1383–1396 (2005). https://doi.org/10.1007/s10955-005-5106-6

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  • DOI: https://doi.org/10.1007/s10955-005-5106-6

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