Regularity and chaos at critical points of first-order quantum phase transitions

Abstract

We study the interplay between regular and chaotic dynamics at the critical point of a generic first-order quantum phase transition in an interacting boson model of nuclei. A classical analysis reveals a distinct behavior of the coexisting phases in a broad energy range. The dynamics is completely regular in the deformed phase and, simultaneously, strongly chaotic in the spherical phase. A quantum analysis of the spectra separates the regular states from the irregular ones, assigns them to particular phases, and discloses persisting regular rotational bands in the deformed region.

5 pages, 3 figures, published version, Phys. Rev. C

References in corpus (2)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Quantum chaos in the nuclear collective model: II. Peres lattices

Cited by in corpus (9)

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• AC-driven Quantum Phase Transition in the Lipkin-Meshkov-Glick Model
• First-order quantum phase transitions: test ground for emergent chaoticity, regularity and persisting symmetries
• Regularity and chaos in 0+ states of the interacting boson model using quantum measures
• Evolution of order and chaos across a first-order quantum phase transition
• Partial and quasi dynamical symmetries in quantum many-body systems
• Order, Chaos and Quasi Symmetries in a First-Order Quantum Phase Transition
• Symmetry Remnants in the Face of Competing Interactions in Nuclei
• Simultaneous occurrence of distinct symmetries in nuclei