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Non-recurrent behaviour in quantum dynamics

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Abstract

We study the motion of a quantum rotator under an external periodic perturbation. For the resonant case, i.e. when the frequency of driving pulses is rationally connected with the frequencies of the free rotator, the quasi-energy spectrum is known to be continuous. We prove that for a generic choice of the potential there is a non-empty set of non-resonant values of the external frequency such that the quasi-energy spectrum still has a continuous component.

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References

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Authors and Affiliations

  1. Dipartimento di Fisica dell'Università di Milano, Via Celoria 16, I-20133, Milano, Italy

    Giulio Casati

  2. Dipartimento di Fisica Nucleare e Teorica dell'Università di Pavia, Via Bassi, I-27100, Pavia, Italy

    Italo Guarneri

Authors
  1. Giulio Casati
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  2. Italo Guarneri
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Communicated by Ya. G. Sinai

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Casati, G., Guarneri, I. Non-recurrent behaviour in quantum dynamics. Commun.Math. Phys. 95, 121–127 (1984). https://doi.org/10.1007/BF01215758

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  • DOI: https://doi.org/10.1007/BF01215758

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