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

Intermediate wave function statistics.

G Berkolaiko1, J P Keating, B Winn

  • 1Department of Mathematics, University of Strathclyde, Glasgow G1 1XH, United Kingdom.

Physical Review Letters
|October 4, 2003
PubMed
Summary
This summary is machine-generated.

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

The Influence of Migration Timing and Local Conditions on Reproductive Timing in Arctic-Breeding Birds.

Ecology and evolution·2025
Same author

Continuum of quantum fluctuations in a three-dimensional <i>S</i> = 1 Heisenberg magnet.

Nature physics·2024
Same author

Spin-liquid-like state in pure and Mn-doped TbInO<sub>3</sub> with a nearly triangular lattice.

Physical review. B·2024
Same author

Implementation of a laser-neutron pump-probe capability for inelastic neutron scattering.

The Review of scientific instruments·2024
Same author

Moments of Moments and Branching Random Walks.

Journal of statistical physics·2021
Same author

Observation of Magnon Polarization.

Physical review letters·2020
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Eigenfunctions in quantum systems like star graphs and Seba billiards are not quantum ergodic. They exhibit strong scarring from specific periodic orbits, as shown by numerical computations.

Area of Science:

  • Quantum mechanics
  • Statistical physics
  • Mathematical physics

Background:

  • Investigating quantum ergodicity and scarring in quantum systems is crucial for understanding wave function distributions.
  • Intermediate spectral statistics bridge the gap between regular and fully chaotic systems.

Purpose of the Study:

  • To calculate statistical properties of eigenfunctions in star graphs and Seba billiards.
  • To determine if these eigenfunctions exhibit quantum ergodicity and identify scarring mechanisms.
  • To construct sequences of states demonstrating limiting behaviors.

Main Methods:

  • Statistical analysis of eigenfunctions.
  • Identification and analysis of periodic orbits within the systems.
  • Numerical computations to illustrate theoretical findings.

Related Experiment Videos

Main Results:

  • Eigenfunctions of star graphs and Seba billiards are not quantum ergodic.
  • Strong scarring is observed, linked to short periodic orbits in star graphs and specific orbits in Seba billiards.
  • Limit distributions and sequences of states exhibiting scarring were constructed.

Conclusions:

  • The study reveals non-ergodic behavior and significant scarring in the eigenfunctions of the investigated quantum systems.
  • Periodic orbits play a critical role in the localization and statistical properties of these eigenfunctions.
  • Findings contribute to the understanding of quantum chaos and wave function properties in complex systems.