Quasimomentum distribution and expansion of an anyonic gas

Dubček, Tena and Klajn, Bruno and Pezer, Robert and Buljan, Hrvoje and Jukić, Dario (2018) Quasimomentum distribution and expansion of an anyonic gas. Physical Review A, 97 (1). 11601(R)-5. ISSN 1050-2947

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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.

Item Type: Article
Keywords: trapped atomic gas, fractional statistics, quantum computation, particles, mechanics
Date: 2018
Subjects: NATURAL SCIENCES > Physics
Additional Information: © 2018 American Physical Society. Received 15 July 2017; published 16 January 2018.
Divisions: Faculty of Science > Department of Physics
Project code: ZCI QuantixLie
Publisher: American Physical Society
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 19 Mar 2018 15:50
Last Modified: 19 Mar 2018 15:50
URI: http://digre.pmf.unizg.hr/id/eprint/5793

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