Entanglement entropy of nuclear systems

TL;DR

This paper investigates entanglement entropy in nuclear systems, revealing its proportionality to particle number fluctuations and depletion, and confirming a volume law through analytical and numerical methods.

Contribution

It provides analytical and numerical evidence that entanglement entropy in nuclear systems follows a volume law and relates to particle fluctuations.

Findings

Entanglement entropy is proportional to particle number fluctuation.

Entanglement entropy follows a volume law in nuclear systems.

Numerical tests confirm analytical predictions.

Abstract

We study entanglement entropies between the single-particle states of the hole space and its complement in nuclear systems. Analytical results based on the coupled-cluster method show that entanglement entropies are proportional to the particle number fluctuation and the depletion number of the hole space for sufficiently weak interactions. General arguments also suggest that the entanglement entropy in nuclear systems fulfills a volume instead of an area law. We test and confirm these results by computing entanglement entropies of the pairing model and neutron matter, and the depletion number of finite nuclei.