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Related Experiment Videos

Superballistic spreading of wave packets.

L Hufnagel1, R Ketzmerick, T Kottos

  • 1Max-Planck-Institut für Strömungsforschung und Institut für Nichtlineare Dynamik der Universität Göttingen, Bunsenstrasse 10, 37073 Göttingen, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 20, 2001
PubMed
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Wave packet variance can increase superballistically in disordered systems over long times. A new model explains this phenomenon, verified numerically across various systems.

Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Physics

Background:

  • Wave packet dynamics are fundamental to understanding quantum systems.
  • Disordered and quasiperiodic systems exhibit complex transport properties.
  • Superballistic transport is a rare but significant phenomenon in wave propagation.

Purpose of the Study:

  • To demonstrate and explain superballistic increase in wave packet variance.
  • To develop a theoretical model for this superballistic phenomenon.
  • To numerically verify the model's predictions in diverse systems.

Main Methods:

  • Theoretical modeling of wave packet variance.
  • Numerical simulations of wave packet propagation.
  • Analysis of systems with disorder and quasiperiodicity.

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Main Results:

  • Wave packet variance M(t) proportional to t(nu) shows superballistic increase (2 < nu <= 3).
  • This superballistic behavior is observed for parametrically large time intervals.
  • Model predictions were successfully verified numerically.

Conclusions:

  • A model explaining superballistic wave packet variance increase has been developed.
  • The phenomenon is robust across various disordered and quasiperiodic systems.
  • This work advances the understanding of wave transport in complex media.