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Double Resonance Techniques: Overview01:12

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Related Experiment Video

Updated: Mar 25, 2026

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
11:33

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics

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Resonant torus-assisted tunneling.

Chang-Hwan Yi1, Hyeon-Hye Yu2, Chil-Min Kim1

  • 1Department of Emerging Materials Science, DGIST. Hyeonpung-myeon Dalseong-gun, Daegu 711-873, Korea.

Physical Review. E
|February 13, 2016
PubMed
Summary
This summary is machine-generated.

We discovered resonant torus-assisted tunneling, a new quantum phenomenon where particles tunnel through nonisolated periodic orbits. This mechanism facilitates energy transfer between classically disconnected states in open systems.

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Area of Science:

  • Quantum mechanics
  • Classical mechanics
  • Mathematical physics

Background:

  • Dynamical tunneling is a quantum phenomenon enabling particles to transition between classically separated regions.
  • Nonisolated periodic orbits, or resonant tori, play a crucial role in complex dynamical systems.

Purpose of the Study:

  • To report and elucidate a novel mechanism of dynamical tunneling mediated by resonant tori.
  • To demonstrate resonant torus-assisted tunneling in a specific physical system.

Main Methods:

  • Utilizing an open elliptic cavity model.
  • Analyzing Husimi functions and their distributions.
  • Calculating corresponding actions and their standard deviations.

Main Results:

  • Observed a pair of resonances tunneling through a resonant torus.
  • Demonstrated that this tunneling occurs between classically disconnected tori.
  • Verified the phenomenon through detailed analysis of actions and Husimi functions.

Conclusions:

  • Resonant torus-assisted tunneling is a newly identified quantum transport mechanism.
  • This phenomenon provides a new pathway for energy transfer in quantum systems.
  • The findings offer insights into the behavior of quantum systems with complex classical dynamics.