Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

On dynamical tunneling and classical resonances.

Srihari Keshavamurthy1

  • 1Max-Planck-Instiut für Physik komplexer Systeme, Dresden, Germany.

The Journal of Chemical Physics
|April 20, 2005
PubMed
Summary

Classical nonlinear resonances characterize dynamical tunneling by revealing resonance islands in phase space. This resonance-assisted tunneling mechanism is key for understanding molecular dynamics, especially in systems with low state density.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Quantum dynamical concertedness: an entangled trajectory molecular dynamics study.

Physical chemistry chemical physics : PCCP·2026
Same author

Cavity induced modulation of intramolecular vibrational energy flow pathways.

The Journal of chemical physics·2024
Same author

Dynamical Tunneling in More than Two Degrees of Freedom.

Entropy (Basel, Switzerland)·2024
Same author

Phase space perspective on a model for isomerization in an optical cavity.

The Journal of chemical physics·2023
Same author

Stable chaos and delayed onset of statisticality in unimolecular dissociation reactions.

Communications chemistry·2023
Same author

Dissociation dynamics of a diatomic molecule in an optical cavity.

The Journal of chemical physics·2022

Area of Science:

  • Nonlinear dynamics
  • Quantum mechanics
  • Molecular physics

Background:

  • Dynamical tunneling is a quantum phenomenon observed in various systems.
  • Understanding the classical origins and mechanisms of dynamical tunneling is crucial.
  • Previous approaches have linked tunneling to avoided crossings, but this connection is debated.

Purpose of the Study:

  • To establish a direct relationship between classical nonlinear resonances and dynamical tunneling.
  • To demonstrate how classical phase space structures characterize tunneling barriers.
  • To explore the connection between classical and quantum mechanical descriptions of tunneling.

Main Methods:

  • Analysis of classical phase space structures, specifically resonance islands.
  • Comparison of classical phase space viewpoints with quantum mechanical superexchange approaches.
  • Investigation of near-integrable and mixed regular-chaotic systems.

Main Results:

  • Classical nonlinear resonances, via resonance islands, fully characterize dynamical tunneling.
  • Key resonances allow for the explicit determination of dynamical barrier forms.
  • Resonance-assisted tunneling is identified as an approximate mechanism for near-integrable systems with anharmonicity.

Conclusions:

  • Dynamical tunneling can be understood through classical nonlinear resonances without invoking avoided crossings.
  • The resonance-assisted mechanism is predicted to be dominant in molecules with low density of states.
  • A unified framework linking classical phase space and quantum tunneling is established.

Related Experiment Videos