Entanglement in two-quasiparticle-triaxial-rotor systems: Chirality, wobbling, and the Pauli effect
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| Format: | Preprint |
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2025
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| _version_ | 1866909571245670400 |
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| author | Chen, Q. B. Frauendorf, S. |
| author_facet | Chen, Q. B. Frauendorf, S. |
| contents | We investigate the entanglement in two-quasiparticle plus triaxial-rotor (PTR) model for the particle-hole configuration $π(1h_{11/2})^1 \otimes ν(1h_{11/2})^{-1}$, the particle-particle configuration $π(1h_{11/2})^1 \otimes ν(1h_{11/2})^1$, and two-proton particles configuration $π(1h_{11/2})^2$ 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 $\mathcal{C}$ of one type of angular momentum with the other two angular momenta and the area $\mathcal{F}$ of the triangle formed by the bipartite concurrences. Collective chiral and wobbling modes are identified for $γ>15^\circ$ 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 $\mathcal{F}$ 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 $π(1h_{11/2})^2$ configuration, the antisymmetrization required by the Pauli exclusion principle causes strong entanglement between the two protons, which significantly amplifies the area $\mathcal{F}$. For $γ<15^\circ$, the lowest bands become various uniformly rotating quasiparticle configurations, which have large values of $\mathcal{F}$ for all values $I$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_05608 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entanglement in two-quasiparticle-triaxial-rotor systems: Chirality, wobbling, and the Pauli effect Chen, Q. B. Frauendorf, S. Nuclear Theory Nuclear Experiment We investigate the entanglement in two-quasiparticle plus triaxial-rotor (PTR) model for the particle-hole configuration $π(1h_{11/2})^1 \otimes ν(1h_{11/2})^{-1}$, the particle-particle configuration $π(1h_{11/2})^1 \otimes ν(1h_{11/2})^1$, and two-proton particles configuration $π(1h_{11/2})^2$ 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 $\mathcal{C}$ of one type of angular momentum with the other two angular momenta and the area $\mathcal{F}$ of the triangle formed by the bipartite concurrences. Collective chiral and wobbling modes are identified for $γ>15^\circ$ 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 $\mathcal{F}$ 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 $π(1h_{11/2})^2$ configuration, the antisymmetrization required by the Pauli exclusion principle causes strong entanglement between the two protons, which significantly amplifies the area $\mathcal{F}$. For $γ<15^\circ$, the lowest bands become various uniformly rotating quasiparticle configurations, which have large values of $\mathcal{F}$ for all values $I$. |
| title | Entanglement in two-quasiparticle-triaxial-rotor systems: Chirality, wobbling, and the Pauli effect |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2504.05608 |