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Quasimomentum distribution and expansion of an anyonic gas

Tena Dubček, Bruno Klajn, Robert Pezer, Hrvoje Buljan, and Dario Jukić
Phys. Rev. A 97, 011601(R) – Published 16 January 2018

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 the expansion of anyons in free space from the state. This definition is identical to the standard one when the statistical parameter approaches that for bosons or fermions. Exact examples which underpin our proposal are shown. They reveal that the quasimomentum distribution can be used to identify anyonic statistics in standard time-of-flight measurements.

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  • Received 15 July 2017

DOI:https://doi.org/10.1103/PhysRevA.97.011601

©2018 American Physical Society

Physics Subject Headings (PhySH)

General PhysicsAtomic, Molecular & OpticalStatistical Physics & Thermodynamics

Authors & Affiliations

Tena Dubček1, Bruno Klajn1, Robert Pezer2, Hrvoje Buljan1,*, and Dario Jukić3

  • 1Department of Physics, Faculty of Science, University of Zagreb, Bijenička c. 32, 10000 Zagreb, Croatia
  • 2Faculty of Metallurgy, University of Zagreb, Aleja narodnih heroja 3, 44103 Sisak, Croatia
  • 3Faculty of Civil Engineering, University of Zagreb, A. Kačića Miošića 26, 10000 Zagreb, Croatia

  • *hbuljan@phy.hr

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Issue

Vol. 97, Iss. 1 — January 2018

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