Entanglement properties and moment distributions of a system of hard-core anyons on a ring

Details Entanglement properties and moment distributions of a system of hard-core anyons on a ring Entanglement properties and moment distributions of a system of hard-core anyons on a ring

2006-10-15

arxiv.org/abs/cond-mat/0610402v3

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 3 eps figures. v2: Fig 3 changed, Eq 13 changed, minor corrections. References added

Scientific paper

10.1088/1742-5468/2007/05/L05003

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.

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