Weak entanglement approximation for nuclear structure

Abstract

The interacting shell model, a configuration-interaction method, is a venerable approach for low-lying nuclear structure calculations; but it is hampered by the exponential growth of its basis dimension as one increases the single-particle space and/or the number of active particles. Recent, quantum-information-inspired work has demonstrated that the proton and neutron sectors of a nuclear wave function are weakly entangled. Furthermore, the entanglement is smaller for nuclides away from $N=Z$, such as heavy, neutron-rich nuclides. Here we implement a weak entanglement approximation to bipartite configuration-interaction wave functions, approximating low-lying levels by coupling a relatively small number of many-proton and many-neutron states. This truncation scheme, which we present in the context of past approaches, reduces the basis dimension by many orders of magnitude while preserving essential features of nuclear spectra.

arXiv comment11 pages, 7 figures

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Cited by in corpus (3)

• Quantum Magic and Multi-Partite Entanglement in the Structure of Nuclei
• A Quantum Annealing Protocol to Solve the Nuclear Shell Model
• Study of entanglement in Ne, Mg, and Si isotopic chains