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Deterministic weak localization in periodic structures.

C Tian1, A Larkin

  • 1Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA.

Physical Review Letters
|December 31, 2005
PubMed
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We introduce weak localization theory for deterministic diffusion in periodic structures. A universal power law decay in velocity autocorrelation is predicted at four Ehrenfest times, robust against disorder.

Area of Science:

  • Physics
  • Condensed Matter Physics
  • Wave Phenomena

Background:

  • Classical motion in perfect periodic structures can exhibit deterministic diffusion.
  • Understanding the behavior of such systems is crucial for various physical phenomena.

Purpose of the Study:

  • To present a weak localization theory for deterministic diffusion in perfect periodic structures.
  • To predict a universal power law decay in the velocity autocorrelation function.

Main Methods:

  • Development of weak localization theory.
  • Analysis of velocity autocorrelation function.

Main Results:

  • Prediction of a universal power law decay for the velocity autocorrelation function at four Ehrenfest times.

Related Experiment Videos

  • Demonstration that this deterministic weak localization is robust against weak quenched disorders.

    • Conclusions:

    • Weak localization is a key phenomenon in deterministic diffusion within periodic systems.
    • Coherent backscattering measurements in photonic crystals can experimentally verify these findings.