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    Entanglement in two-quasiparticle-triaxial-rotor systems: Chirality, wobbling, and the Pauli effect

    Q. B. Chen1,* and S. Frauendorf2,†

    • *Contact author: qbchen@phy.ecnu.edu.cn
    • †Contact author: sfrauend@nd.edu

    Phys. Rev. C 111, 064326 – Published 27 June, 2025

    DOI: https://doi.org/10.1103/s6zp-h83d

    Abstract

    We investigate the entanglement in two-quasiparticle plus triaxial-rotor model for the particle-hole configuration π(1h11/2)1⊗ν(1h11/2)−1, the particle-particle configuration π(1h11/2)1⊗ν(1h11/2)1, and two-proton particles configuration π(1h11/2)2 for different values of the triaxiality parameter. The entanglement between the angular momenta of the two quasiparticles and the total angular momentum is quantified by the three bipartite concurrences C of one type of angular momentum with the other two angular momenta and the area F of the triangle formed by the bipartite concurrences. Collective chiral and wobbling modes are identified for γ>15∘ via spin coherent state (SCS) maps and spin squeezed state (SSS) plots. Their entanglement increases from moderate values at the band head to near-maximal values at I=20. The area F of the chiral partners changes order as function of I which reflects the crossing of the partner bands as a signature of chirality. For the π(1h11/2)2 configuration, the antisymmetrization required by the Pauli exclusion principle causes strong entanglement between the two protons, which significantly amplifies the area F. For γ<15∘, the lowest bands become various uniformly rotating quasiparticle configurations, which have large values of F for all values I.

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