Proton-neutron entanglement in the nuclear shell model

Abstract

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 $N\ne Z$. 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.

13 pages, 5 figures

References in corpus (5)

• Density matrix renormalization group approach for many-body open quantum systems
• Combining the in-medium similarity renormalization group with the density matrix renormalization group: Shell structure and information entropy
• Factorization of shell-model ground-states
• Solution of large scale nuclear structure problems by wave function factorization
• Density Matrix Renormalization Group study of ${}^{48}$Cr and ${}^{56}$Ni

Cited by in corpus (16)

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• Quantum Simulations in Effective Model Spaces (I): Hamiltonian Learning-VQE using Digital Quantum Computers and Application to the Lipkin-Meshkov-Glick Model
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• Multi-Body Entanglement and Information Rearrangement in Nuclear Many-Body Systems
• Quantum Magic and Multi-Partite Entanglement in the Structure of Nuclei
• Toward experimental determination of spin entanglement of nucleon pairs
• Quantum Simulations of SO(5) Many-Fermion Systems using Qudits
• Weak entanglement approximation for nuclear structure
• Quantum Complexity Fluctuations from Nuclear and Hypernuclear Forces
• Entanglement in multinucleon transfer reactions
• Uncovering the mechanism of chiral three-nucleon force in driving spin-orbit splitting
• A Quantum Annealing Protocol to Solve the Nuclear Shell Model
• Non-Markovian character and irreversibility of real-time quantum many-body dynamics
• Identification of a natural fieldlike entanglement resource in trapped-ion chains
• Study of entanglement in Ne, Mg, and Si isotopic chains