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

1/f noise in the two-body random ensemble.

A Relaño1, R A Molina, J Retamosa

  • 1Departamento de Física Atómica, Molecular y Nuclear, Universidad Complutense de Madrid, 28010 Madrid, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 25, 2004
PubMed
Summary

Spectral fluctuations in chaotic quantum systems show 1/f noise, supporting a key conjecture. This finding holds even for individual system members after proper analysis.

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

Revealing missing charges with generalised quantum fluctuation relations.

Nature communications·2018
Same author

From thermal to excited-state quantum phase transition: The Dicke model.

Physical review. E·2018
Same author

Time-dependent wave packet simulations of transport through Aharanov-Bohm rings with an embedded quantum dot.

Journal of physics. Condensed matter : an Institute of Physics journal·2017
Same author

Entropy, chaos, and excited-state quantum phase transitions in the Dicke model.

Physical review. E·2016
Same author

Quantum phase transitions of atom-molecule Bose mixtures in a double-well potential.

Physical review. E, Statistical, nonlinear, and soft matter physics·2014
Same author

Excited-state phase transition and onset of chaos in quantum optical models.

Physical review. E, Statistical, nonlinear, and soft matter physics·2011

Area of Science:

  • Quantum Chaos
  • Statistical Physics

Background:

  • Chaotic quantum systems exhibit complex energy level fluctuations.
  • Understanding these fluctuations is crucial for characterizing quantum chaos.
  • Previous conjectures proposed a link between quantum chaos and 1/f noise.

Purpose of the Study:

  • To investigate spectral fluctuations in the two-body random ensemble.
  • To determine if these fluctuations exhibit 1/f noise.
  • To analyze the distribution of the noise exponent (alpha) for individual ensemble members.

Main Methods:

  • Analysis of spectral fluctuations within the two-body random ensemble.
  • Application of 1/f noise analysis to the energy level data.
  • Individual averaging and unfolding of spectral data for ensemble members.

Main Results:

  • The two-body random ensemble's spectral fluctuations demonstrate 1/f noise.
  • This empirical result supports the conjecture linking chaotic quantum systems and 1/f noise.
  • The distribution of the exponent alpha for individual members centers around alpha=1, indicating widespread 1/f noise.

Conclusions:

  • The study provides strong evidence for 1/f noise in chaotic quantum systems.
  • The findings validate the conjecture regarding energy level fluctuations in such systems.
  • Individual members of the ensemble also exhibit 1/f noise characteristics upon appropriate unfolding.

Related Experiment Videos