Quantum entanglement patterns in the structure of atomic nuclei within the nuclear shell model

Abstract

Quantum entanglement offers a unique perspective into the underlying structure of strongly-correlated systems such as atomic nuclei. In this paper, we use quantum information tools to analyze the structure of light and medium-mass berillyum, oxygen, neon and calcium isotopes within the nuclear shell model. We use different entanglement metrics, including single-orbital entanglement, mutual information, and von Neumann entropies for different equipartitions of the shell-model valence space and identify mode-entanglement patterns related to the energy, angular momentum and isospin of the nuclear single-particle orbitals. We observe that the single-orbital entanglement is directly related to the number of valence nucleons and the energy structure of the shell, while the mutual information highlights signatures of proton-proton and neutron-neutron pairing, as well as nuclear deformation. Proton and neutron orbitals are weakly entangled by all measures, and in fact have the lowest von Neumann entropies among all possible equipartitions of the valence space. In contrast, orbitals with opposite angular momentum projection have relatively large entropies, especially in spherical nuclei. This analysis provides a guide for designing more efficient quantum algorithms for the noisy intermediate-scale quantum era.

Submitted to EPJA Topical Issue "Quantum computing in low-energy nuclear theory"

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Cited by in corpus (11)

• Quantum Magic and Multi-Partite Entanglement in the Structure of Nuclei
• Toward experimental determination of spin entanglement of nucleon pairs
• Spectroscopy of N=50 isotones with the valence-space density matrix renormalization group
• Weak entanglement approximation for nuclear structure
• Quantum Complexity Fluctuations from Nuclear and Hypernuclear Forces
• Uncovering the mechanism of chiral three-nucleon force in driving spin-orbit splitting
• A Quantum Annealing Protocol to Solve the Nuclear Shell Model
• Spin-Triplet Pairing in Heavy Nuclei is Stable Against Deformation
• Triply-heavy/strange baryons with Cornell potential on a quantum computer
• Bardeen-Cooper-Schrieffer State Representation and Pairing in the Fermionic Tonks-Girardeau Gas
• Study of entanglement in Ne, Mg, and Si isotopic chains