dorsal/arxiv
View SchemaEntanglement study in the island of inversion region using \textit{ab initio} approach
| Authors | Rohit M. Shinde, Praveen C. Srivastava |
|---|---|
| Categories | |
| ArXiv ID | 2601.06544vv1 |
| URL | https://arxiv.org/abs/2601.06544 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
Quantum entanglement provides a unique perspective for probing nuclear structure. In this work, we employ quantum entanglement measures, including proton-neutron entanglement entropy, mutual information, and quantum relative entropy, to investigate the evolution of entanglement patterns as we approach neutron-rich nuclei. The study is carried out in the vicinity of the $N=20$ island of inversion region consisting of even-$A$ Ne, Mg, and Si isotopes, and also for isotones corresponding to $N=20$. The state-of-the-art \textit{ab initio} valence space in-medium similarity renormalization group method has been used for this purpose. We have highlighted the role of proton-neutron entanglement entropy in the formation of the island of inversion region. While mutual information provides insight into the strong correlations between proton-proton and neutron-neutron single-particle orbitals. The correlations are weak between proton and neutron for ground states, but become comparable to like-particle correlations for excited states. The quantum relative entropy is also studied between $0^+$ and $2^+$ states of the Ne, Mg, and Si isotopes, as well as $N=20$ isotones, using the Kullback-Leibler divergence and Jensen-Shannon divergence. We have performed these calculations using partitions based on proton-neutron, single-particle states, and Slater determinants.
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"abstract": "Quantum entanglement provides a unique perspective for probing nuclear structure. In this work, we employ quantum entanglement measures, including proton-neutron entanglement entropy, mutual information, and quantum relative entropy, to investigate the evolution of entanglement patterns as we approach neutron-rich nuclei. The study is carried out in the vicinity of the $N=20$ island of inversion region consisting of even-$A$ Ne, Mg, and Si isotopes, and also for isotones corresponding to $N=20$. The state-of-the-art \\textit{ab initio} valence space in-medium similarity renormalization group method has been used for this purpose. We have highlighted the role of proton-neutron entanglement entropy in the formation of the island of inversion region. While mutual information provides insight into the strong correlations between proton-proton and neutron-neutron single-particle orbitals. The correlations are weak between proton and neutron for ground states, but become comparable to like-particle correlations for excited states. The quantum relative entropy is also studied between $0^+$ and $2^+$ states of the Ne, Mg, and Si isotopes, as well as $N=20$ isotones, using the Kullback-Leibler divergence and Jensen-Shannon divergence. We have performed these calculations using partitions based on proton-neutron, single-particle states, and Slater determinants.",
"arxiv_id": "2601.06544",
"authors": [
"Rohit M. Shinde",
"Praveen C. Srivastava"
],
"categories": [
"nucl-th",
"nucl-ex"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Entanglement study in the island of inversion region using \\textit{ab initio} approach",
"url": "https://arxiv.org/abs/2601.06544",
"version": "v1"
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