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Semiclassical study on tunneling processes via complex-domain chaos.

T Onishi1, A Shudo, K S Ikeda

  • 1Department of Physics, Tokyo Metropolitan University, Minami-Ohsawa, Hachioji 192-0397, Japan. t_onishi@comp.metro-u.ac.jp

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
PubMed
Summary

We reveal how complex-phase-space chaos governs tunneling in nonintegrable systems using a kicked scattering model. Symbolic coding of tunneling orbits links their behavior to the imaginary part of actions, enabling efficient identification of dominant tunneling paths.

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Tunneling mechanism due to chaos in a complex phase space.

Physical review. E, Statistical, nonlinear, and soft matter physics·2001

Area of Science:

  • Quantum mechanics
  • Classical mechanics
  • Chaos theory

Background:

  • Tunneling processes are fundamental in quantum mechanics, particularly in nonintegrable systems.
  • Understanding these processes often requires exploring complex dynamics in phase space.

Purpose of the Study:

  • To investigate the semiclassical mechanism of tunneling in nonintegrable systems.
  • To elucidate the role of complex-phase-space chaos in describing tunneling phenomena.

Main Methods:

  • Studied a kicked scattering model to analyze tunneling behaviors.
  • Employed symbolic coding based on complex homoclinic tangle structures.
  • Related phase space itineraries of tunneling orbits to imaginary parts of actions.

Main Results:

Related Experiment Videos

  • Demonstrated the significant role of complex-phase-space chaos in tunneling.
  • Successfully encoded tunneling orbit behaviors into symbolic sequences.
  • Established a connection between symbolic coding and the imaginary part of actions.

Conclusions:

  • Symbolic coding provides a method to understand tunneling orbit itineraries.
  • This approach enables a systematic search for dominant tunneling orbits in complex systems.