Evolution of order and chaos across a first-order quantum phase transition

Abstract

We study the evolution of the dynamics across a generic first order quantum phase transition in an interacting boson model of nuclei. The dynamics inside the phase coexistence region exhibits a very simple pattern. A classical analysis reveals a robustly regular dynamics confined to the deformed region and well separated from a chaotic dynamics ascribed to the spherical region. A quantum analysis discloses regular bands of states in the deformed region, which persist to energies well above the phase-separating barrier, in the face of a complicated environment. The impact of kinetic collective rotational terms on this intricate interplay of order and chaos is investigated.

5 pages, 4 figures, Physics Letters B, in press. Higher quality (larger size) figures can be obtained from http://www-ucjf.troja.mff.cuni.cz/~geometric/PLB-Figs2-3.zip

References in corpus (4)

• Quantum phase transitions in the interacting boson model
• Partial Dynamical Symmetry at Critical-Points of Quantum Phase Transitions
• Spectral properties of Bunimovich mushroom billiards
• Quantum chaos in the nuclear collective model: II. Peres lattices

Cited by in corpus (9)

• Excited-state quantum phase transitions in systems with two degrees of freedom: III. Interacting boson systems
• 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
• Partial and quasi dynamical symmetries in quantum many-body systems
• Order, Chaos and Quasi Symmetries in a First-Order Quantum Phase Transition
• Spectral fluctuations in the interacting boson model
• Order, Chaos and (Quasi-) Dynamical Symmetries across 1st-order Quantum Phase Transitions in Nuclei
• Symmetry Remnants in the Face of Competing Interactions in Nuclei
• Simultaneous occurrence of distinct symmetries in nuclei