Quasimomentum distribution and expansion of an anyonic gas
arXiv:1707.04712 · doi:10.1103/PhysRevA.97.011601
Abstract
We point out that the momentum distribution is not a proper observable for a system of anyons in two-dimensions. In view of anyons as Wilczek's composite charged flux-tubes, this is a consequence of the fact that the orthogonal components of the kinetic momentum operator do not commute at the position of a flux tube, and thus cannot be diagonalized in the same basis. As a substitute for the momentum distribution of an anyonic (spatially localized) state, we propose to use the asymptotic single-particle density after expansion of anyons in free space from the state. This definition is identical with the standard one when the statistical parameter approaches that for bosons or fermions. Exact examples of expansion dynamics, which underpin our proposal, and observables that can be used to measure anyonic statistics, are shown.
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References in corpus (14)
- Many-Body Physics with Ultracold Gases
- Non-Abelian Anyons and Topological Quantum Computation
- Exact coherent states of a harmonically confined Tonks-Girardeau gas
- The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
- Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices
- Fermionization and bosonization of expanding 1D anyonic fluids
- Induced self-stabilization in fractional quantum Hall states of light
- Correlation Functions of One-Dimensional Lieb-Liniger Anyons
- Ground-state properties of one-dimensional anyon gases
- Non-abelian anyons from degenerate Landau levels of ultracold atoms in artificial gauge potentials
- One-particle density matrix and momentum distribution function of one-dimensional anyon gases
- Signatures of Fractional Exclusion Statistics in the Spectroscopy of Quantum Hall Droplets
- Fractional angular momentum in cold atom systems
- Statistical Interparticle Potential between Two Anyons