Partial Dynamical Symmetry at Critical-Points of Quantum Phase Transitions

Details Partial Dynamical Symmetry at Critical-Points of Quantum Phase Transitions Partial Dynamical Symmetry at Critical-Points of Quantum Phase Transitions

2007-03-15

arxiv.org/abs/nucl-th/0703048v2

Phys.Rev.Lett.98:242502,2007

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1103/PhysRevLett.98.242502

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.

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