%0 Book Section %1 statphys23_0644 %A Santachiara, R. %A Stauffer, F. %A Cabra, D. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K anyonic critical entanglement entropy fractional hall phase quantum statistics statphys23 systems topic-1 topological %T Entanglement properties and moment distributions of a system of hard-core anyons on a ring. %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=644 %X 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. The interest in these systems is motivated by the study of the edge excitations in quantum Hall fluids.

@incollection{statphys23_0644, abstract = {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. The interest in these systems is motivated by the study of the edge excitations in quantum Hall fluids.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Santachiara, R. and Stauffer, F. and Cabra, D.}, biburl = {https://www.bibsonomy.org/bibtex/2cfa4957d410790cef95fa28ab568a718/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {937ae0bfd5fc977ad83e2a91e8c0481a}, intrahash = {cfa4957d410790cef95fa28ab568a718}, keywords = {anyonic critical entanglement entropy fractional hall phase quantum statistics statphys23 systems topic-1 topological}, month = {9-13 July}, timestamp = {2007-06-20T10:16:25.000+0200}, title = {Entanglement properties and moment distributions of a system of hard-core anyons on a ring.}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=644}, year = 2007 }