Entanglement Entropy in the Calogero-Sutherland Model

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.

14 pages, 3figures, references added

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• Particle partition entanglement of one dimensional spinless fermions
• Non-Hermitian boost deformation
• Detecting dimensional crossover and finite Hilbert space through entanglement entropies
• One-particle entanglement for one dimensional spinless fermions after an interaction quantum quench
• Exact wave functions and entropies of the one dimensional Regularized Calogero model
• Entanglement in bipartite pure states of an interacting boson gas obtained by local projective measurements
• A Scaling Function for the Particle Entanglement Entropy of Fermions