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Nondispersive wave packets as solitonic solutions of level dynamics

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Zeitschrift für Physik B Condensed Matter

Abstract

We discuss the analogy between nondispersive wave packets in periodically driven hydrogen atoms and solitons as solitary wave solutions of nonlinear dynamical systems. Whereas the wave packet eigenstates should not be considered as solitons propagating in real space, they are shown to display the essential features of solitonic solutions as they propagate through the irregular lattice of quasienergy levels evolving with a fictitious time like the strength or the frequency of the driving force.

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Author notes

  1. Jakub Zakrzewski

    Present address: Instytut Fizyki imienia Mariana Smoluchowskiego, Uniwersytet Jagielloński, ulica Reymonta 4, PL-30-059, Kraków, Poland

Authors and Affiliations

  1. Laboratoire Kastler-Brossel, Tour 12, Etage 1, 4 Place Jussieu, F-75005, Paris, France

    Jakub Zakrzewski & Dominique Delande

  2. Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, D-85748, Garching, Germany

    Andreas Buchleitner

Authors
  1. Jakub Zakrzewski
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  2. Andreas Buchleitner
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  3. Dominique Delande
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Zakrzewski, J., Buchleitner, A. & Delande, D. Nondispersive wave packets as solitonic solutions of level dynamics. Z. Phys. B - Condensed Matter 103, 115–122 (1997). https://doi.org/10.1007/s002570050343

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  • DOI: https://doi.org/10.1007/s002570050343

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