Peres lattices in nuclear structure
Michal Macek, Pavel Str\'ansk\'y, Pavel Cejnar
TL;DR
This paper discusses using Peres lattices to analyze nuclear spectra, revealing regularity, chaos, and symmetries in quantum and classical dynamics through visual lattice patterns.
Contribution
It introduces the application of Peres lattices to the interacting boson model for identifying dynamical symmetries and chaos in nuclear structure spectra.
Findings
Ordered lattices indicate regular dynamics.
Disordered lattices signal chaotic behavior.
The method uncovers symmetries in spectra.
Abstract
A method by Peres is used to draw spectra of the interacting boson model as lattices in the plane of energy versus an arbitrary observable average (or variance). Ordered (disordered) lattices are signatures of regularity (chaos) in both quantum and classical dynamics. The method is also apt to disclose exact or approximate dynamical symmetry.
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