Proton-neutron entanglement in the nuclear shell model

We compute the proton-neutron entanglement entropy in the interacting nuclear shell model for a variety of nuclides and interactions. Some results make intuitive sense, for example that the shell structure, as governed by single-particle and monopole energies, strongly affects the energetically avai...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2023-03
Main Authors: Johnson, Calvin W, Gorton, Oliver C
Format: Article
Language:English
Subjects:
Coupling
Entanglement
Entropy
Nuclides
Protons
Shells (structural forms)
Wave functions
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We compute the proton-neutron entanglement entropy in the interacting nuclear shell model for a variety of nuclides and interactions. Some results make intuitive sense, for example that the shell structure, as governed by single-particle and monopole energies, strongly affects the energetically available space and thus the entanglement entropy. We also find a surprising result: that the entanglement entropy at low excitation energy tends to decrease for nuclides when \(N \neq Z\). While we provide evidence this arises from the physical nuclear force by contrasting with random two-body interactions which shows no such decrease, the exact mechanism is unclear. Nonetheless, the low entanglement suggests that in models of neutron-rich nuclides, the coupling between protons and neutrons may be less computationally demanding than one might otherwise expect.
ISSN:2331-8422
DOI:10.48550/arxiv.2210.14338