Entanglement generation in few-nucleon scattering

Abstract

Inspired by a recent Letter [S. R. Beane et al., Phys. Rev. Lett. 122, 102001(2019)], the entanglement generated in the elastic $S$-wave scattering of $p+{}^3\text{He}$ and $n+{}^3\text{H}$ is studied, where the proton, neutron, ${}^3$He, and ${}^3$H are all regarded as qubits. To deal with the Coulomb interaction between the proton and ${}^3$He, we derive the entanglement power, a physical quantity that measures the average entanglement generated by a scattering process, for charged qubits within the screening method. The entanglement power in the aforementioned two few-nucleon scatterings is found to be generally much smaller than that in the $S$-wave $n+p$ scattering at low energies, with the corresponding cluster effective field theories possessing an enhanced approximate $\text{SU}(2{)}_1\otimes \text{SU}(2{)}_2$ symmetry at leading order. Our study suggests that the entanglement generation capacities of effective interactions between nucleons and light nuclei could be more suppressed than realistic nucleon-nucleon interactions at low energies.

7 pages, 4 figures; published version

References in corpus (6)

• Four-nucleon scattering: Ab initio calculations in momentum space
• Four-body calculation of proton-3He scattering
• Low energy $n-\nuc{3}{H}$ scattering : a novel testground for nuclear interaction
• Analysis of delocalization of clusters in linear-chain $\alpha$-cluster states with entanglement entropy
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• Variational Monte Carlo Calculations of n+3H Scattering

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• Quantum Simulations of SO(5) Many-Fermion Systems using Qudits
• Quantum Complexity Fluctuations from Nuclear and Hypernuclear Forces
• Scattering Entanglement Entropy and Its Implications for Electroweak Phase Transitions