The label variance of a symmetry Casimir is a state-resolved quantum-information diagnostic that separates solvable from mixed eigenstates in partial dynamical symmetry, unlike bipartite entanglement magnitude.
Partial Dynamical Symmetry at Critical-Points of Quantum Phase Transitions
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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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Quantum-information fingerprints of partial dynamical symmetry in the interacting boson model
The label variance of a symmetry Casimir is a state-resolved quantum-information diagnostic that separates solvable from mixed eigenstates in partial dynamical symmetry, unlike bipartite entanglement magnitude.