Quantum chaos in the nuclear collective model: II. Peres lattices

TL;DR

This paper applies Peres lattices to analyze quantum chaos in the nuclear collective model, showing qualitative agreement with standard chaos measures and offering a tool for studying eigenstate structures.

Contribution

It introduces the use of Peres lattices for identifying quantum chaos signatures in nuclear models, extending previous methods with a new visualization approach.

Findings

Peres lattices reveal ordered and disordered spectral patterns.

Qualitative agreement with standard chaos measures is demonstrated.

The method effectively studies structural changes in eigenstates.

Abstract

This is a continuation of our preceding paper devoted to signatures of quantum chaos in the geometric collective model of atomic nuclei. We apply the method by Peres to study ordered and disordered patterns in quantum spectra drawn as lattices in the plane of energy vs. average of a chosen observable. A good qualitative agreement with standard measures of chaos is manifested. The method provides an efficient tool for studying structural changes of eigenstates across quantum spectra of general systems.