Regularity and chaos in 0+ states of the interacting boson model using quantum measures

TL;DR

This paper investigates quantum chaos in 0+ states of the interacting boson model, analyzing energy dependence and stability of regularity using statistical measures, and compares results with classical chaos studies.

Contribution

It provides the first detailed quantum chaotic dynamics at zero angular momentum near the arc of regularity, linking quantum and classical chaos measures in the interacting boson model.

Findings

Energy dependence of chaos is characterized for the first time.

The arc of regularity remains stable with increasing boson number.

Quantum chaos results align with classical chaos studies.

Abstract

Statistical measures of chaos have long been used in the study of chaotic dynamics in the framework of the interacting boson model. The use of large number of bosons renders additional studies of chaos possible, that can provide a direct comparison with similar classical studies of chaos. We intend to provide complete quantum chaotic dynamics at zero angular momentum in the vicinity of the arc of regularity and link the results of the study of chaos using statistical measures with those of the study of chaos using classical measures. Statistical measures of chaos are applied on the spectrum and the transition intensities of 0+ states in the framework of the interacting boson model. The energy dependence of chaos is provided for the first time using statistical measures of chaos. The position of the arc of regularity was also found to be stable in the limit of large boson numbers. The results of the study of chaos using statistical measures are consistent with previous studies using classical measures of chaos, as well as with studies using statistical measures of chaos, but for small number of bosons and states with angular momentum greater than 2.