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Related Experiment Videos

Regularity and chaos in interacting two-body systems.

Sergey Radionov1, Sven Aberg, Thomas Guhr

  • 1Matematisk Fysik, LTH, Lunds Universitet, Lund, Sweden and Kiev Institute for Nuclear Research, Kiev, Ukraine. Sergey.Radinov@matfys.lth.se

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 5, 2004
PubMed
Summary

Investigating chaos in two interacting particles reveals that increasing two-body interaction strength amplifies chaotic behavior. However, the one-body potential

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Area of Science:

  • Physics
  • Quantum Mechanics
  • Classical Mechanics

Background:

  • Studying chaos in interacting many-body systems is crucial for understanding complex physical phenomena.
  • The two-interacting-particle system serves as a fundamental model for exploring chaos.
  • Understanding the interplay between one-body potentials and two-body interactions is key.

Purpose of the Study:

  • To investigate classical and quantum chaos in a two-interacting-particle system.
  • To analyze the influence of a deformed harmonic oscillator potential and Coulomb-type interaction on system dynamics.
  • To determine the conditions under which chaotic behavior emerges and its dependence on system parameters.

Main Methods:

  • Numerical simulations of classical and quantum dynamics.

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  • Analysis of trajectory behavior to distinguish regular from chaotic motion.
  • Systematic variation of interaction strength and potential shape parameters.

    • Main Results:

    • Chaos emerges with increasing two-body interaction strength.
    • The degree of chaos is highly sensitive to the shape of the one-body potential.
    • Regular dynamics can persist even with strong interactions for specific potential configurations.
    • Identified scaling properties in both classical and quantum regimes.

    Conclusions:

    • The interplay between one-body confinement and two-body interactions dictates the onset and extent of chaos.
    • The deformed harmonic oscillator model provides insights into chaos control in interacting systems.
    • This work establishes a foundation for understanding chaos in more complex many-body systems.