Fractional angular momentum in cold atom systems
arXiv:1409.6251 · doi:10.1103/PhysRevLett.113.160404
Abstract
The quantum statistics of bosons or fermions are manifest through 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 ultra-cold 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 fractional particle number, analogous to fractional charge of electron fractional quantum Hall effect.
5 pages, 3 figures
References in corpus (5)
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Vortices and Superfluidity in a Strongly Interacting Fermi Gas
- Quantum Hall physics in rotating Bose-Einstein condensates
- Universality of Many-Body States in Rotating Bose and Fermi Systems
- Rotational properties of two-component Bose gases in the lowest Landau level