2006/10/31 by Raoul Santachiara, Franck Stauffer, Daniel Cabra · 1 citation
Physics and Astronomy · #cond-mat.str-el #cond-mat.mes-hall
paper · pdf · doi:10.1088/1742-5468/2007/05/l05003
5 pages, 3 eps figures. v2: Fig 3 changed, Eq 13 changed, minor corrections. References added
arxiv created 2007/03/05 · arxiv updated 2009/12/01
We study the one-particle von Neumann entropy of a system of N hard-core anyons on a ring. The entropy is found to have a clear dependence on the anyonic parameter which characterizes the generalized fractional statistics described by the anyons. This confirms the entanglement as a valuable measure to investigate topological properties of quantum states. Furthermore, we determine analytically the large N asymptotics of the anyonic one-particle density matrix. The formula presented here generalizes the Lenard formula obtained for a system of N hard-core bosons. Finally, we present a numerical analysis which confirms the analytical results and provides additional insight into the problem under consideration.