Power spectrum and form factor in random diagonal matrices and integrable billiards

@article{Riser2020PowerSA,
title={Power spectrum and form factor in random diagonal matrices and integrable billiards},
author={R. Riser and E. Kanzieper},
journal={arXiv: Chaotic Dynamics},
year={2020}
}

Triggered by a controversy surrounding a universal behaviour of the power spectrum in quantum systems exhibiting regular classical dynamics, we focus on a model of random diagonal matrices (RDM), often associated with the Poisson spectral universality class, and examine how the power spectrum and the form factor get affected by two-sided truncations of RDM spectra. Having developed a nonperturbative description of both statistics, we perform their detailed asymptotic analysis to demonstrate… CONTINUE READING