Partial Dynamical Symmetry at Critical-Points of Quantum Phase Transitions

Abstract

We show that partial dynamical symmetries (PDS) can occur at critical-points of quantum phase transitions, in which case, underlying competing symmetries are conserved exactly by a subset of states, and mix strongly in other states. Several types of PDS are demonstrated with the example of critical-point Hamiltonians for first- and second-order transitions in the framework of the interacting boson model, whose dynamical symmetries correspond to different shape-phases in nuclei.

4 pages, 5 figures, minor adjustments to PRL requirements. PRL in press

References in corpus (8)

• Partial Dynamical Symmetry in Deformed Nuclei
• Generalized Partial Dynamical Symmetry in Nuclei
• Critical-Point Symmetry in a Finite System
• Partial dynamical symmetry in a fermion system
• Partial Dynamical Symmetry and Mixed Dynamics
• First-Order Quantum Phase Transition in a Finite System
• Partial Dynamical Symmetry in the Symplectic Shell Model
• X(5) Critical-Point Structure in a Finite System

Cited by in corpus (32)

• Quantum phase transitions in the interacting boson model
• Partial Dynamical Symmetries
• Simple, empirical order parameter for a first order quantum phase transition in atomic nuclei
• Quantum phase transitions in Bose-Fermi systems
• Partial dynamical symmetry in quantum Hamiltonians with higher-order terms
• First-order quantum phase transitions: test ground for emergent chaoticity, regularity and persisting symmetries
• Quantum phase transitional patterns in the SD-pair shell model
• Regularities and symmetries of subsets of collective 0+ states
• Partial dynamical symmetry as a selection criterion for many-body interactions
• Nucleons pair shell model in M-scheme
• The emergent dynamical symmetry at the triple point of nuclear deformations
• Algebraic benchmark for prolate-oblate coexistence in nuclei
• Unified description of 0+ states in a large class of nuclear collective models
• Euclidean Dynamical Symmetry in Nuclear Shape Phase Transitions
• Linking partial and quasi dynamical symmetries in rotational nuclei
• Evolution of order and chaos across a first-order quantum phase transition
• Partial dynamical symmetries and shape coexistence in nuclei
• Partial dynamical symmetry in Bose-Fermi systems
• Quantum catastrophes from an algebraic perspective
• Partial dynamical symmetry from energy density functionals
• Coexisting partial dynamical symmetries and multiple shapes
• Study of shape coexistence in the 180-190Hg isotopes by SO(6) representation of eigenstates
• SU(3) partial dynamical symmetry and nuclear shapes
• Aspects of Shape Coexistence in the Geometric Collective Model of Nuclei
• Partial dynamical symmetries in quantum systems
• Partial and quasi dynamical symmetries in quantum many-body systems
• Partial dynamical symmetry and odd-even staggering in deformed nuclei
• Dynamical Symmetries and Beyond: Lessons and Advances
• Order, Chaos and Quasi Symmetries in a First-Order Quantum Phase Transition
• Simultaneous occurrence of distinct symmetries in nuclei
• Exact Dynamical and Partial Symmetries
• Symmetry Remnants in the Face of Competing Interactions in Nuclei