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We study the nature of the dynamics in a first-order quantum phase transitionbetween spherical and prolate-deformed nuclear shapes. Classical and quantumanalyses reveal a change in the system from a chaotic H\'enon-Heiles behavioron the spherical side into a pronounced regular dynamics on the deformed side.Both order and chaos persist in the coexistence region and their interplayreflects the Landau potential landscape and the impact of collective rotations.

Interplay of order and chaos across a first-order quantum shape-phase transition in nuclei