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Related Experiment Videos

Anomalous transport and quantum-classical correspondence.

B Sundaram1, G M Zaslavsky

  • 1Department of Mathematics, CSI-CUNY, Staten Island, New York 10314.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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Anomalous transport in classical standard maps enhances fluctuations in quantum quasienergy states. This effect, driven by quantum suppression of chaos, is observed even beyond the semiclassical limit.

Area of Science:

  • Quantum dynamics
  • Classical chaos
  • Statistical mechanics

Background:

  • Anomalous transport describes non-standard diffusion processes.
  • The standard map is a model system for classical and quantum chaos.
  • Localization length quantifies the spatial extent of quantum states.

Purpose of the Study:

  • To investigate the impact of anomalous transport on quantum state fluctuations.
  • To explore the role of quantum suppression mechanisms in classically chaotic systems.
  • To examine the validity of these effects beyond the semiclassical regime.

Main Methods:

  • Analysis of anomalous transport in the classical standard map.
  • Study of quasienergy states in the corresponding quantum dynamics.

Related Experiment Videos

  • Investigation of fluctuation enhancement in localization length.

    • Main Results:

    • Anomalous transport significantly enhances fluctuations in the localization length of quasienergy states.
    • This phenomenon is observed even far from the semiclassical limit.
    • The effect arises from the interplay of local and global quantum suppression of classical chaos.

    Conclusions:

    • Anomalous transport is a key factor influencing quantum state fluctuations in chaotic systems.
    • The observed effects highlight the complex relationship between classical and quantum dynamics.
    • The findings suggest potential experimental avenues for observing these phenomena.