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.
Linking partial and quasi dynamical symmetries in rotational nuclei
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abstract
Background: Quasi dynamical symmetries (QDS) and partial dynamical symmetries (PDS) play an important role in the understanding of complex systems. Up to now these symmetry concepts have been considered to be unrelated. Purpose: Establish a link between PDS and QDS and find an emperical manifestation. Methods: Quantum number fluctuations and the intrinsic state formalism are used within the framework of the interacting boson model of nuclei. Results: A previously unrecognized region of the parameter space of the interacting boson model that has both O(6) PDS (purity) and SU(3) QDS (coherence) in the ground band is established. Many rare-earth nuclei approximately satisfying both symmetry requirements are identified. Conclusions: PDS are more abundant than previously recognized and can lead to a QDS of an incompatible symmetry.
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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.