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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Nonequilibrium chaos of disordered nonlinear waves.

Ch Skokos1, I Gkolias, S Flach

  • 1Physics Department, Aristotle University of Thessaloniki, GR-54124 Thessaloniki, Greece. hskokos@auth.gr

Physical Review Letters
|August 27, 2013
PubMed
Summary

Nonlinear waves may disrupt Anderson localization, causing wave packet spreading. Chaotic dynamics and phase decoherence persist, suggesting a complete delocalization of the wave packet.

Area of Science:

  • Condensed Matter Physics
  • Quantum Chaos

Background:

  • Anderson localization describes the absence of diffusion in disordered systems.
  • Nonlinear waves can potentially overcome localization, leading to wave packet spreading.
  • Previous studies suggested chaotic dynamics and phase decoherence as mechanisms for this spreading.

Purpose of the Study:

  • To quantitatively analyze the role of nonequilibrium chaos in wave packet spreading.
  • To investigate the time evolution of chaos indicators like Lyapunov exponents.
  • To determine if chaotic dynamics and phase decoherence persist and drive delocalization.

Main Methods:

  • Computational analysis of chaos indicators (Lyapunov exponents, deviation vector distributions).
  • Tracking the time dependence of these indicators.

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  • Comparing computational findings with experimental observations of wave packet spreading.

    • Main Results:

    • Chaotic dynamics slow down but do not become regular within observed timescales.
    • Chaos is fast enough to allow for wave packet thermalization and spreading.
    • Strongly localized chaotic spots exhibit meandering behavior over time.

    Conclusions:

    • Nonequilibrium chaos and phase decoherence are confirmed to persist.
    • These persistent phenomena fuel the prediction of complete delocalization.
    • Nonlinear waves likely destroy Anderson localization through chaotic dynamics.