Entanglement Entropy in the Calogero-Sutherland Model
Statistical Mechanics
2016-09-08 v2 Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
High Energy Physics - Theory
Quantum Physics
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.
Cite
@article{arxiv.0708.1207,
title = {Entanglement Entropy in the Calogero-Sutherland Model},
author = {Hosho Katsura and Yasuyuki Hatsuda},
journal= {arXiv preprint arXiv:0708.1207},
year = {2016}
}
Comments
14 pages, 3figures, references added