Partial Dynamical Symmetry at Critical Points of Quantum Phase Transitions

2007/03/31 by A. Leviatan · 4 citations
Mathematics · Physics and Astronomy · #Boson #Critical point (mathematics) #Geometry #Homogeneous space #Interacting boson model #Mathematical physics #Mathematics #Nuclear physics research studies #Order (exchange) #Phase transition #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #Quantum critical point #Quantum mechanics #Quantum phase transition #Symmetry (geometry) #Theoretical physics #cond-mat.stat-mech #nucl-th

paper · pdf · doi:10.1103/physrevlett.98.242502

published as Phys.Rev.Lett.98:242502,2007 · 4 pages, 5 figures, minor adjustments to PRL requirements. PRL in press

arxiv created 2007/06/04 · openalex publication_date 2007/06/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that partial dynamical symmetries 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 partial dynamical symmetries 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.

Citations

• The renormalization group and the ε expansion

Cited by

• Euclidean dynamical symmetry in nuclear shape phase transitions
• Quantum-information fingerprints of partial dynamical symmetry in the interacting boson model
• Partial dynamical symmetries and shape coexistence in nuclei
• Symmetry remnants in the face of competing interactions in nuclei