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Coherent control of quantum chaotic diffusion.

J Gong1, P Brumer

  • 1Chemical Physics Theory Group, University of Toronto, Toronto, Canada M5S 3H6.

Physical Review Letters
|April 6, 2001
PubMed
Summary
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Researchers demonstrate precise control over quantum chaotic diffusion in the kicked rotor model, identifying its source in deviations from random matrix theory. The study also assesses control effectiveness under decoherence, impacting quantum chaos and coherent control fields.

Area of Science:

  • Quantum Physics
  • Quantum Chaos
  • Coherent Control

Background:

  • Quantum chaotic diffusion describes the complex behavior of quantum systems that exhibit chaotic dynamics.
  • The kicked rotor model is a standard theoretical framework for studying quantum chaos.
  • Random matrix theory (RMT) is often used to predict the statistical properties of quantum chaotic systems.

Purpose of the Study:

  • To demonstrate extensive coherent control over quantum chaotic diffusion.
  • To identify the underlying mechanisms responsible for this control, specifically deviations from RMT predictions.
  • To investigate the robustness of this control in the presence of environmental decoherence.

Main Methods:

  • Utilizing the kicked rotor model to simulate quantum chaotic diffusion.

Related Experiment Videos

  • Applying techniques of coherent control to manipulate the system's dynamics.
  • Analyzing deviations from random matrix theory predictions to understand control origins.
  • Introducing and modeling external decoherence effects to assess control limitations.
  • Main Results:

    • Successful demonstration of extensive coherent control over quantum chaotic diffusion.
    • Identification of deviations from random matrix theory as the key factor enabling control.
    • Quantification of the control's extent and limitations under varying levels of decoherence.

    Conclusions:

    • Coherent control offers a powerful method to manipulate quantum chaotic diffusion.
    • Understanding deviations from RMT is crucial for achieving effective quantum control.
    • The demonstrated control is partially robust against external decoherence, with implications for practical quantum technologies.