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Entanglement Entropy in the Calogero-Sutherland Model

arXiv
Authors: Hosho Katsura, Yasuyuki Hatsuda

Year

2007

Paper ID

49417

Status

Preprint

Abstract Read

~2 min

Abstract Words

79

Citations

N/A

Abstract

We investigate the entanglement entropy between two subsets of particles in the ground state of the Calogero-Sutherland model. By using the duality relations of the Jack symmetric polynomials, we obtain exact expressions for both the reduced density matrix and the entanglement entropy in the limit of an infinite number of particles traced out. From these results, we obtain an upper bound value of the entanglement entropy. This upper bound has a clear interpretation in terms of fractional exclusion statistics.

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  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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  • We investigate the entanglement entropy between two subsets of particles in the ground state of the Calogero-Sutherland model.

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