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

Delay times and reflection in chaotic cavities with absorption.

Dmitry V Savin1, Hans-Jürgen Sommers

  • 1Fachbereich Physik, Universität Duisburg-Essen, 45117 Essen, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 4, 2003
PubMed
Summary

Absorption in open quantum systems introduces exponential decay, calculable via energy shifts. This study analytically determines delay time distributions in chaotic systems with broken time-reversal symmetry and arbitrary absorption rates.

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

Diffuse field cross-correlations: Scattering theory and electromagnetic experiments.

Physical review. E·2021
Same author

Implementing nonuniversal features with a random matrix theory approach: Application to space-to-configuration multiplexing.

Physical review. E·2020
Same author

Envelope and phase distribution of a resonance transmission through a complex environment.

Physical review. E·2018
Same author

Fluctuations in an established transmission in the presence of a complex environment.

Physical review. E·2018
Same author

Different types of critical behavior in conservatively coupled Hénon maps.

Physical review. E, Statistical, nonlinear, and soft matter physics·2015
Same author

Statistics of resonance width shifts as a signature of eigenfunction nonorthogonality.

Physical review letters·2012

Area of Science:

  • Quantum mechanics
  • Quantum chaos
  • Mesoscopic physics

Background:

  • Open quantum systems exhibit energy-dependent decay due to absorption.
  • Understanding time-delay distributions is crucial for characterizing quantum transport.

Purpose of the Study:

  • To analytically calculate the distribution of proper delay times in chaotic systems with broken time-reversal symmetry.
  • To investigate the impact of arbitrary absorption rates on these distributions.
  • To establish the relationship between time-delay and reflection matrices.

Main Methods:

  • Random-matrix theory approach.
  • Analytical calculation of delay time distributions.
  • Analysis of systems with broken time-reversal symmetry and multiple scattering channels.

Related Experiment Videos

Main Results:

  • Derived the distribution of proper delay times for chaotic systems with arbitrary absorption.
  • Established a direct relation between average delay time and norm-leakage decay.
  • Showed that absorption significantly suppresses fluctuations in large delay times.
  • Related the time-delay matrix to the reflection matrix (S†S), yielding reflection eigenvalue distributions.

Conclusions:

  • Absorption introduces a calculable exponential decay in quantum systems.
  • The random-matrix approach provides a robust framework for analyzing delay times and absorption effects.
  • The findings offer insights into quantum transport in dissipative chaotic systems.