Quantum entanglement patterns in the structure of atomic nuclei within
the nuclear shell model
- URL: http://arxiv.org/abs/2307.05197v2
- Date: Mon, 18 Sep 2023 10:28:30 GMT
- Title: Quantum entanglement patterns in the structure of atomic nuclei within
the nuclear shell model
- Authors: A. P\'erez-Obiol, S. Masot-Llima, A.M. Romero, J. Men\'endez, A. Rios,
A. Garc\'ia-S\'aez, B. Juli\'a-D\'iaz
- Abstract summary: We 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.
This analysis provides a guide for designing more efficient quantum algorithms for the noisy intermediate-scale quantum era.
- Score: 1.4608076589541017
- License: http://creativecommons.org/licenses/by/4.0/
- 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.
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