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Quantum diffusion in a biased kicked Harper system.

A R Kolovsky1, H J Korsch

  • 1Max-Planck-Institut für Physik Komplexer Systeme, D-01187 Dresden, Germany. kolovsky@mpipks-dresden.mpg.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
PubMed
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Quantum diffusion in biased kicked Harper systems can be enhanced or suppressed. This depends on the ratio between Bloch and driving periods, impacting superlattice transport properties.

Area of Science:

  • Condensed Matter Physics
  • Quantum Chaos
  • Solid-State Physics

Background:

  • Studying field-induced transport in superlattices is crucial for understanding electron behavior in engineered materials.
  • The kicked Harper system provides a model for investigating quantum dynamics under periodic driving.
  • Classical chaos in the underlying system influences quantum transport phenomena.

Purpose of the Study:

  • To investigate quantum diffusion in a biased kicked Harper system with fully chaotic classical dynamics.
  • To analyze how the ratio of Bloch period to driving period affects quantum transport.
  • To connect quantum transport properties with the statistical features of quasienergy spectra.

Main Methods:

  • Numerical simulation of the biased kicked Harper model.

Related Experiment Videos

  • Analysis of classical and quantum transport regimes.
  • Application of random matrix theory to quasienergy spectra.

    • Main Results:

    • Classical transport exhibits diffusive behavior.
    • Quantum diffusion is enhanced for a commensurable ratio of Bloch to driving periods.
    • Quantum diffusion is suppressed for an incommensurable ratio of Bloch to driving periods.

    Conclusions:

    • Quantum diffusion in this system is sensitive to the commensurability of relevant periods.
    • The statistical properties of quasienergy spectra, as described by random matrix theory, are key to understanding quantum transport.
    • Findings offer insights into controlling electron transport in superlattices.