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Quasimomentum distribution and expansion of an anyonic gas

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Tena Dubček, Bruno Klajn, Robert Pezer, Hrvoje Buljan, Dario Jukić

Quantum Gases · Submitted 15 Jul 2017

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim 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.

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arXiv ID1707.04712 (version 1)
Pith IDLRFWTDDG, Pith's permanent record of this paper and its review
CitationBruno Klajn, Dario Juki\'c, Hrvoje Buljan, Robert Pezer, Tena Dub\v{c}ek. "Quasimomentum distribution and expansion of an anyonic gas." arXiv:1707.04712 (2017). https://pith.science/paper/LRFWTDDG
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,332 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.41 · human participants 0.01 · controlled comparison 0.08 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.54 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

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.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We point out that the momentum distribution is not a proper observable for a system of anyons in two-dimensions. result 0.46 0.66 0.48 asserted 1.00
s1 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. interpretation 0.64 0.20 0.13 asserted 1.00
s2 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. contribution 0.84 0.72 0.43 asserted 0.75
s3 This definition is identical with the standard one when the statistical parameter approaches that for bosons or fermions. interpretation 0.63 0.54 0.09 asserted 1.00
s4 Exact examples of expansion dynamics, which underpin our proposal, and observables that can be used to measure anyonic statistics, are shown. contribution 0.71 0.90 0.16 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.50 · evidence from proof or derivation 0.84.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original 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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