Analysis of delocalization of clusters in linear-chain $\alpha$-cluster states with entanglement entropy

Abstract

I investigate entanglement entropy of one dimension (1D) cluster states to discuss the delocalization of clusters in linear-chain $3\alpha$- and $4\alpha$-cluster states. In analysis of entanglement entropy of 1D Tohsaki-Horiuchi-Schuck-Röpke (THSR) and Brink-Bloch cluster wave functions, I show clear differences in the entanglement entropy between localized cluster wave functions and delocalized cluster wave functions. In order to clarify spatial regions where the entanglement entropy is generated by the delocalization of clusters, I analyze the spatial distribution of entanglement entropy. In the linear-chain $3\alpha$ cluster state, the delocalization occurs dominantly in a low-density tail region while it is relatively suppressed in an inner region because of Pauli blocking effect between clusters. In the linear-chain 4$\alpha$ state having a larger system size than the linear-chain $3\alpha$ state, the delocalization occurs in the whole system. The entanglement entropy is found to be a measure of the delocalization of clusters in the 1D cluster systems.

arXiv comment19 pages, 9 figures

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Cited by in corpus (7)

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• Toward experimental determination of spin entanglement of nucleon pairs
• Quantum decoherence in the entanglement entropy of a composite particle and its relationship to coarse graining in the Husimi function
• Lattice QCD study of static quark and antiquark correlations via entanglement entropies
• Entanglement entropy and Schmidt number as measures of delocalization of $\alpha$ clusters in one-dimensional nuclear systems
• Dynamical emergence of Markovianity in Local Time Scheme
• Lattice QCD study of static quark and antiquark correlations at finite $T$ via entanglement entropies