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Related Experiment Videos

Localization and fluctuations in quantum kicked rotors.

I I Satija1, B Sundaram, J A Ketoja

  • 1Department of Physics, George Mason University, Fairfax, Virginia 22030, USA. isatija@sitar.gmu.edu

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
Summary

We studied fluctuations in kicked quantum systems, finding a fractal nature. A new method links these fluctuations to the localization length, offering insights into quantum dynamics.

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Area of Science:

  • Quantum mechanics
  • Statistical physics

Background:

  • Dynamical localization in kicked quantum systems leads to fluctuations around exponential line shapes.
  • Understanding these fluctuations is crucial for characterizing localization phenomena.

Purpose of the Study:

  • To analyze fluctuations in one-dimensional kicked quantum systems.
  • To establish a method for computing localization length from fluctuations.
  • To compare fluctuation behavior in linear and quadratic rotor systems.

Main Methods:

  • Exact renormalization scheme to analyze fractal properties of fluctuations.
  • Calculation of localization length based on fluctuation characteristics.

Main Results:

  • Identified fractal character of fluctuations in kicked quantum systems.

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  • Developed a method to compute localization length from fluctuations.
  • Linear rotor: fluctuations are independent of kicking parameter and show self-similarity.
  • Quadratic rotor: fluctuations depend on kicking strength, exhibiting resonances that cause deviations in localization length.

    • Conclusions:

    • The fractal nature of fluctuations provides a computable link to localization length.
    • Linear and quadratic rotors exhibit distinct fluctuation behaviors impacting localization characteristics.
    • These findings offer a new perspective on quantum localization and its system-dependent features.