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Related Experiment Videos

Classical nonlinearity and quantum decay: the effect of classical phase-space structures.

Y Ashkenazy1, L Bonci, J Levitan

  • 1Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
PubMed
Summary

We studied chaotic decay from a potential well. Irregular decay rates were linked to nonlinear resonances in the classical phase space, leading to an analytical prediction.

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Area of Science:

  • * Quantum mechanics and chaos theory
  • * Statistical physics and semiclassical methods

Background:

  • * Investigating decay processes in quantum systems is crucial for understanding phenomena like particle emission and system stability.
  • * Semiclassical methods offer a bridge between classical and quantum descriptions, particularly useful for complex systems.

Purpose of the Study:

  • * To analyze the decay process from a time-dependent potential well within the semiclassical regime.
  • * To understand the origins of irregular decay rates observed in chaotic classical dynamics.
  • * To establish a connection between decay irregularities and nonlinear resonances in classical phase space.

Main Methods:

  • * Semiclassical analysis of a time-dependent potential well.
  • * Investigation of chaotic classical dynamics.

Related Experiment Videos

  • * Analysis of the weak-chaos regime to identify nonlinear resonances.

    • Main Results:

    • * Observed irregular behavior in decay rates as a function of system parameters.
    • * Established a direct link between decay rate irregularities and the presence of nonlinear resonances.
    • * Developed a quantitative analytical prediction for the decay process.

    Conclusions:

    • * Nonlinear resonances in the classical phase space are the source of irregular decay rates in this system.
    • * The developed analytical prediction accurately accounts for the observed numerical results.
    • * The study provides insights into the interplay of chaos and quantum decay in semiclassical systems.