title: Fractional angular momentum in cold-atom systems.
abstract: The quantum statistics of bosons or fermions are manifest through the even or odd relative angular momentum of a pair. We show theoretically that, under certain conditions, a pair of certain test particles immersed in a fractional quantum Hall state possesses, effectively, a fractional relative angular momentum, which can be interpreted in terms of fractional braid statistics. We propose that the fractionalization of the angular momentum can be detected directly through the measurement of the pair correlation function in rotating ultracold atomic systems in the fractional quantum Hall regime. Such a measurement will also provide direct evidence for the effective magnetic field resulting from Berry phases arising from attached vortices, and of excitations with a fractional particle number, analogous to the fractional charge of the electron fractional quantum Hall effect.
authors.affiliation: Department of Physics, 104 Davey Lab, Pennsylvania State University, University Park, Pennsylvania 16802, USA.
authors.forename: Yuhe
authors.initials: Y
authors.lastname: Zhang
authors.affiliation: NORDITA, Roslagstullsbacken 23, 10691 Stockholm, Sweden.
authors.forename: G J
authors.initials: GJ
authors.lastname: Sreejith
authors.affiliation: Department of Physics, 104 Davey Lab, Pennsylvania State University, University Park, Pennsylvania 16802, USA.
authors.forename: N D
authors.initials: ND
authors.lastname: Gemelke
authors.affiliation: Department of Physics, 104 Davey Lab, Pennsylvania State University, University Park, Pennsylvania 16802, USA.
authors.forename: J K
authors.initials: JK
authors.lastname: Jain