Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-08-09
J.Phys.A40:13931,2007
Physics
Condensed Matter
Statistical Mechanics
14 pages, 3figures, references added
Scientific paper
10.1088/1751-8113/40/46/007
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.
Hatsuda Yasuyuki
Katsura Hosho
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