Nov, 2007
Entanglement entropy in the Calogero-Sutherland model
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
- ,
- Volume
- 40
- Number
- 46
- First page
- 13931
- Last page
- 13942
- Language
- English
- Publishing type
- Research paper (scientific journal)
- DOI
- 10.1088/1751-8113/40/46/007
- Publisher
- IOP PUBLISHING LTD
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.
- Link information
- ID information
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- DOI : 10.1088/1751-8113/40/46/007
- ISSN : 1751-8113
- eISSN : 1751-8121
- Web of Science ID : WOS:000250687700012