Quasimomentum distribution and expansion of an anyonic gas

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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Cited by in corpus (5)

• Time-of-Flight Measurements as a Possible Method to Observe Anyonic Statistics
• Correlation functions of one-dimensional strongly interacting two-component gases
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Anyon optics with time-of-flight two-particle interference of double-well-trapped interacting ultracold atoms
• Properties of 2D anyon gas