Statistics of Oscillator Strengths in Chaotic Systems
Nobuhiko Taniguchi, A. V. Andreev, Boris L. Altshuler
TL;DR
This paper develops a universal statistical framework for oscillator strengths in quantum chaotic systems using the supermatrix nonlinear sigma-model, revealing universal correlations similar to Wigner-Dyson statistics.
Contribution
It introduces a universal analytical expression for the correlator of oscillator strengths in chaotic quantum systems, extending the statistical description to new observables.
Findings
Derived a universal correlator with parametric and frequency dependence.
Established the applicability of the results to quantum chaotic systems.
Connected oscillator strength statistics with Wigner-Dyson universality.
Abstract
The statistical description of oscillator strengths for systems like hydrogen in a magnetic field is developed by using the supermatrix nonlinear -model. The correlator of oscillator strengths is found to have a universal parametric and frequency dependence, and its analytical expression is given. This universal expression applies to quantum chaotic systems with the same generality as Wigner-Dyson statistics.
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