Partial Dynamical Symmetry at Critical Points of Quantum Phase Transitions

Journal Article · Fri Jun 15 00:00:00 EDT 2007 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.98.242502· OSTI ID:20953285

Leviatan, A ^[1]

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1. Racah Institute of Physics, Hebrew University, Jerusalem 91904 (Israel)

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.

• OSTI ID: 20953285
• Journal Information: Physical Review Letters, Vol. 98, Issue 24; Other Information: DOI: 10.1103/PhysRevLett.98.242502; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
HAMILTONIANS
INTERACTING BOSON MODEL
PHASE TRANSFORMATIONS
QUANTUM MECHANICS
SYMMETRY