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

Universality in quantum parametric correlations.

P Leboeuf1, M Sieber

  • 1Laboratoire de Physique Théorique et Modèles Statistiques, Bâtiment 100, 91405 Orsay Cedex, France.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
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 distribution of dissolved cadmium and its isotopes across the subarctic Pacific Ocean.

Scientific reports·2026
Same author

Particulate Cadmium Accumulation in the Mesopelagic Ocean.

Global biogeochemical cycles·2025
Same author

Dynamic proteome allocation regulates the profile of interaction of auxotrophic bacterial consortia.

Royal Society open science·2022
Same author

Continuous deacetylation of cephalosporins.

Biotechnology and bioengineering·2018
Same author

Microwave Realization of the Gaussian Symplectic Ensemble.

Physical review letters·2016
Same author

Neuroprotective properties of nicotine.

Current medicinal chemistry·2012

We introduce a general scaling procedure to study quantum system correlations, revealing unique theoretical invariance under parameter changes. This method applies to chaotic and disordered systems, including eigenvalue curvature distributions.

Area of Science:

  • Quantum mechanics
  • Statistical physics
  • Condensed matter physics

Background:

  • Universality in quantum systems is crucial for understanding their behavior.
  • Correlation functions reveal key properties of chaotic and disordered systems.
  • External parameter variations can induce phase transitions and alter system dynamics.

Purpose of the Study:

  • To investigate the universality of correlation functions in chaotic and disordered quantum systems.
  • To develop a general scaling procedure invariant under reparametrizations.
  • To analyze the distribution of eigenvalue curvatures and derive semiclassical formulas.

Main Methods:

  • Introduction of a general scaling procedure for theoretical invariance.
  • Application of the procedure to the distribution of eigenvalue curvatures.

Related Experiment Videos

  • Derivation of a semiclassical formula for the nonuniversal scaling factor.

    • Main Results:

    • Demonstration of a unique scaling procedure under general conditions.
    • Illustration with the eigenvalue curvature distribution.
    • Explicit expression for the scaling factor in deformed billiard systems.

    Conclusions:

    • The developed scaling procedure offers a universal framework for analyzing quantum system correlations.
    • The findings provide insights into the behavior of chaotic and disordered systems under parameter variations.
    • The derived formulas are applicable to a range of quantum systems, including billiard models.