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Quantum irregular scattering induced by tunneling.

Andras Csordas1, Petr Seba

  • 1Institute for Solid State Physics, 1525 Budapest, P. O. Box 49, HungaryInstitute of Nuclear Physics, Czech Academy of Sciences, 250 68 Rez near Prague, Czech Republic.

Chaos (Woodbury, N.Y.)
|October 1, 1993
PubMed
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Quantum tunneling causes irregular scattering patterns in a 2D model, which vanish classically. This study analyzes S-matrix properties and finds deviations due to the absence of a classical escape time.

Area of Science:

  • Quantum mechanics
  • Mesoscopic physics
  • Mathematical physics

Background:

  • Investigating irregular behavior in quantum scattering is crucial for understanding complex systems.
  • Stadium-shaped scattering potentials provide a model for studying quantum chaos.
  • Quantum tunneling is a key phenomenon influencing scattering resonances.

Purpose of the Study:

  • To investigate irregular behavior in a 2D scattering model within the quantum domain.
  • To analyze the role of quantum tunneling in scattering resonances.
  • To examine deviations from standard predictions for irregular scattering.

Main Methods:

  • Utilizing a 2D scattering model with Dirac delta potentials on a stadium curve.
  • Performing calculations for S-matrix eigenphase nearest-neighbor distribution.

Related Experiment Videos

  • Analyzing the distribution of S-matrix elements and the total cross-section correlation function.

    • Main Results:

    • Irregular scattering patterns disappear in the classical limit due to quantum tunneling.
    • Deviations from standard irregular scattering predictions were observed in specific regions.
    • The absence of a classical escape rate, which survives the classical limit, explains these deviations.

    Conclusions:

    • Quantum tunneling is the primary driver of resonances in this model's cross-section data.
    • The model's unique characteristics, particularly the lack of a classical escape time, lead to novel scattering behaviors.
    • This research offers insights into the transition from quantum to classical irregular scattering.