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Order, chaos and (quasi-) dynamical symmetries across 1st-order quantum phase transitions in nuclei

Order, chaos and (quasi-) dynamical symmetries across 1st-order quantum phase transitions in nuclei

First order quantum phase transition (QPT) between spherical and axially deformed nuclei shows coexisting, but well-separated regions of regular and chaotic dynamics. We employ a Hamiltonian of the Arima-Iachello Interacting Boson Model (IBM) with an arbitrarily high potential barrier separating the phases. Classical and quantum analyses reveal markedly distinct behavior …