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Related Experiment Videos

Quantum localization for a kicked rotor with accelerator mode islands.

A Iomin1, S Fishman, G M Zaslavsky

  • 1Department of Physics, Technion, Haifa, 32000, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 23, 2002
PubMed
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Classical superdiffusion in the quantum kicked rotor system localizes due to quantum tunneling. This study explores how classical-quantum duality and accelerator modes influence this dynamical localization in a mixed phase space.

Area of Science:

  • Quantum chaos
  • Statistical mechanics
  • Nonlinear dynamics

Background:

  • The quantum kicked rotor exhibits complex dynamics in mixed phase space.
  • Accelerator modes can lead to long-time quantum flights.
  • Understanding classical-quantum duality is crucial for semiclassical systems.

Purpose of the Study:

  • Investigate dynamical localization of classical superdiffusion.
  • Analyze the role of accelerator modes in quantum flights.
  • Explore the classical-quantum duality in the semiclassical limit.

Main Methods:

  • Semiclassical analysis of the quantum kicked rotor.
  • Numerical simulations of system dynamics.
  • Development of analytical methods for localization length estimation.

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Main Results:

  • Classical superdiffusion is suppressed by quantum tunneling, leading to wave function localization.
  • Accelerator mode dynamics contribute to classical superdiffusion.
  • Coupling regular and chaotic dynamics enhances localization length.

Conclusions:

  • Classical-quantum duality drives localization of quantum flights.
  • Localization length scales exponentially with Planck's constant in the semiclassical limit.
  • A method is developed to estimate localization length under specific conditions.