%0 Journal Article %1 Pachos2007Revealing %A Pachos, J. K. %A Wieczorek, W. %A Schmid, C. %A Kiesel, N. %A Pohlner, R. %A Weinfurter, H. %D 2007 %K anyons, entanglement, lattice %T Revealing anyonic statistics with multiphoton entanglement %U http://arxiv.org/abs/0710.0895 %X In three spatial dimensions, there are only two possible types of statistics dividing particles into two groups: bosons and fermions. If one is restricted to two-dimensional systems the situation changes drastically. There, anyons can appear, which exhibit fractional statistics ranging continuously from bosonic to fermionic. Anyons are responsible for the fractional quantum Hall effect and should be realized as quasiparticles in highly entangled many-body systems. However, the continuing presence of interactions makes anyons quite elusive. Here, as an alternative approach, we encode the relevant many-body state of an anyonic model in the multi-partite entangled state of polarized photons. This quantum system is intrinsically stable against decoherence. It enables easy manipulation and detection of abelian anyons, allows for the demonstration of their fusion rules and facilitates the unambiguous determination of their statistical properties. The experiments directly demonstrate the presence of fractional statistics in a physical system.

@article{Pachos2007Revealing, abstract = {{In three spatial dimensions, there are only two possible types of statistics dividing particles into two groups: bosons and fermions. If one is restricted to two-dimensional systems the situation changes drastically. There, anyons can appear, which exhibit fractional statistics ranging continuously from bosonic to fermionic. Anyons are responsible for the fractional quantum Hall effect and should be realized as quasiparticles in highly entangled many-body systems. However, the continuing presence of interactions makes anyons quite elusive. Here, as an alternative approach, we encode the relevant many-body state of an anyonic model in the multi-partite entangled state of polarized photons. This quantum system is intrinsically stable against decoherence. It enables easy manipulation and detection of abelian anyons, allows for the demonstration of their fusion rules and facilitates the unambiguous determination of their statistical properties. The experiments directly demonstrate the presence of fractional statistics in a physical system.}}, added-at = {2019-02-26T15:22:34.000+0100}, archiveprefix = {arXiv}, author = {Pachos, J. K. and Wieczorek, W. and Schmid, C. and Kiesel, N. and Pohlner, R. and Weinfurter, H.}, biburl = {https://www.bibsonomy.org/bibtex/2501061ae7630d44da6e8ae8b0817c8f2/rspreeuw}, citeulike-article-id = {3885552}, citeulike-linkout-0 = {http://arxiv.org/abs/0710.0895}, citeulike-linkout-1 = {http://arxiv.org/pdf/0710.0895}, day = 16, eprint = {0710.0895}, interhash = {275dfc63f11645e39d046279f4339e45}, intrahash = {501061ae7630d44da6e8ae8b0817c8f2}, keywords = {anyons, entanglement, lattice}, month = nov, posted-at = {2009-01-14 14:42:55}, priority = {2}, timestamp = {2019-02-26T15:22:34.000+0100}, title = {{Revealing anyonic statistics with multiphoton entanglement}}, url = {http://arxiv.org/abs/0710.0895}, year = 2007 }