Related Experiment Video
Updated: May 21, 2025

Author Spotlight: Exploring Intrinsically Disordered Protein Dynamics Through NMR Relaxation Experiments
Published on: November 1, 2024
Relaxation fluctuations of correlation functions: Spin and random matrix models
1Kyoto University, Yukawa Institute for Theoretical Physics, Center for Gravitational Physics and Quantum Information, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan.
This study introduces fluctuation averages and variances of correlation functions as a new method to detect quantum chaos. These measures help distinguish quantum system phases, offering an alternative to spectral statistics.
Area of Science:
- Quantum mechanics
- Statistical physics
- Condensed matter physics
Background:
- Spectral statistics and correlations are standard tools for analyzing quantum chaos.
- Eigenvector distribution and correlation are linked to fluctuation averages and variances of correlation functions.
Purpose of the Study:
- To investigate fluctuation averages and variances of correlation functions as a diagnostic for quantum chaos.
- To characterize quantum systems using these correlation function properties.
- To explore these measures in both theoretical models and physical systems.
Main Methods:
- Numerical study of correlation functions for the Gaussian unitary ensemble.
- Analytical calculations for Gaussian unitary ensemble correlation functions.
- Application to the mixed-field Ising model and the Rosenzweig-Porter model.
Main Results:
- Obtained numerical and analytical results for Gaussian unitary ensemble correlation functions.
- Observed deviations from random matrix theory predictions in the mixed-field Ising model.
- Successfully identified ergodic, fractal, and localized phases in the Rosenzweig-Porter model using correlation function fluctuations.
Conclusions:
- Fluctuation averages and variances of correlation functions provide an effective alternative to spectral statistics for studying quantum chaos.
- These measures can reliably distinguish between different quantum system phases.
- The study establishes a novel approach for characterizing quantum systems and their chaotic behavior.
More Related Videos
11:57Measuring the Spin-Lattice Relaxation Magnetic Field Dependence of Hyperpolarized [1-13C]pyruvate
Published on: September 13, 2019
07:24Paramagnetic Relaxation Enhancement for Detecting and Characterizing Self-Associations of Intrinsically Disordered Proteins
Published on: September 23, 2021
Related Concept Videos
Atomic Nuclei: Types of Nuclear Relaxation
In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers...
Atomic Nuclei: Nuclear Relaxation Processes
Spin–Spin Coupling Constant: Overview
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
¹H NMR: Interpreting Distorted and Overlapping Signals
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
NMR Spectroscopy: Spin–Spin Coupling
Spin–Spin Coupling: One-Bond Coupling