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Related Experiment Video

Updated: Jul 16, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Analyzing symmetry breaking within a chaotic quantum system via bayesian inference

Barbosa¹, Harney

¹Max-Planck-Institut fur Kernphysik, D-69029 Heidelberg, Germany.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

|November 23, 2000

Summary

Bayesian inference quantifies coupling strength in chaotic quantum systems. This method analyzes level fluctuations in coupled microwave billiards, offering insights into quantum chaos dynamics.

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Area of Science:

Quantum chaos
Statistical physics
Microwave billiards

Background:

Coupled resonators model complex quantum systems.
Understanding level fluctuations is key to characterizing quantum chaos.
Symmetry classes in quantum systems influence their dynamics.

Purpose of the Study:

To extract the coupling strength between two microwave billiards.
To model a chaotic quantum system with coupled symmetry classes.
To apply Bayesian inference to analyze level fluctuations.

Main Methods:

Utilizing Bayesian inference for parameter estimation.
Analyzing level fluctuations in coupled microwave billiards.
Employing number variance to quantify fluctuations and construct probability distributions.

Main Results:

Successfully extracted coupling strength from level fluctuations.
Demonstrated the effectiveness of Bayesian inference in this context.
Quantified level fluctuations as a function of coupling strength.

Conclusions:

Bayesian inference provides a robust method for determining coupling strength in chaotic quantum systems.
The study validates the use of coupled microwave billiards as a model for quantum chaos.
The findings contribute to the understanding of statistical properties in quantum systems.