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

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.

12 pages, 8 figures

References in corpus (2)

• Dynamics of Loschmidt echoes and fidelity decay
• Quantum chaos in the nuclear collective model: I. Classical-quantum correspondence

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• First-order quantum phase transitions: test ground for emergent chaoticity, regularity and persisting symmetries
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• Relative asymptotic oscillations of the out-of-time-ordered correlator as a quantum chaos indicator
• Partial and quasi dynamical symmetries in quantum many-body systems