Partial dynamical symmetry at critical points of quantum phase transitions |
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Authors: | Leviatan A |
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Institution: | Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel. |
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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. |
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