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Onsager vortex formation in Bose-Einstein condensates in two-dimensional power-law traps

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Andrew J. Groszek, Tapio P. Simula, David M. Paganin, Kristian Helmerson

Quantum Gases · Submitted 20 Nov 2015

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

The authors' main claim We conclude that experimental observation of Onsager vortices should be the most apparent in flat or inverted-bottom traps.

how it is stated · asserted 0.59 read the record →

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arXiv ID1511.06552 (version 2)
Pith IDB7BDR6M5, Pith's permanent record of this paper and its review
CitationAndrew J. Groszek, David M. Paganin, Kristian Helmerson, Tapio P. Simula. "Onsager vortex formation in Bose-Einstein condensates in two-dimensional power-law traps." arXiv:1511.06552 (2015). https://pith.science/paper/B7BDR6M5
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The compiled record

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, 4,903 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.31 · human participants 0.01 · controlled comparison 0.45 · randomized assignment 0.01 · states quantitative result 0.29 · compares with prior results 0.47 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We study computationally dynamics of quantised vortices in two-dimensional superfluid Bose-Einstein condensates confined in highly oblate power-law traps. We have found that the formation of large scale Onsager vortex clusters prevalent in steep-walled traps is suppressed in condensates confined by harmonic potentials. However, the shape of the trapping potential does not appear to adversely affect the evaporative heating efficiency of the vortex gas. Instead, the suppression of Onsager vortex formation in harmonic traps can be understood in terms of the energy of the vortex configurations. Furthermore, we find that the vortex-antivortex pair annihilation that underpins the vortex evaporative heating mechanism requires the interaction of at least three vortices. We conclude that experimental observation of Onsager vortices should be the most apparent in flat or inverted-bottom traps.

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 study computationally dynamics of quantised vortices in two-dimensional superfluid Bose-Einstein condensates confined in highly oblate power-law traps. contribution 0.97 0.90 0.02 asserted 0.92
s1 We have found that the formation of large scale Onsager vortex clusters prevalent in steep-walled traps is suppressed in condensates confined by harmonic potentials. result 1.00 0.96 0.30 asserted 1.00
s2 However, the shape of the trapping potential does not appear to adversely affect the evaporative heating efficiency of the vortex gas. result 1.00 0.89 0.05 hedged possibility 0.51
s3 Instead, the suppression of Onsager vortex formation in harmonic traps can be understood in terms of the energy of the vortex configurations. interpretation 1.00 0.81 0.12 asserted 0.74
s4 Furthermore, we find that the vortex-antivortex pair annihilation that underpins the vortex evaporative heating mechanism requires the interaction of at least three vortices. result 1.00 0.94 0.06 asserted 1.00
s5 We conclude that experimental observation of Onsager vortices should be the most apparent in flat or inverted-bottom traps. interpretation 0.76 0.80 0.82 asserted 0.59

What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

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 study computationally dynamics of quantised vortices in two-dimensional superfluid Bose-Einstein condensates confined in highly oblate power-law traps. We have found that the formation of large scale Onsager vortex clusters prevalent in steep-walled traps is suppressed in condensates confined by harmonic potentials. However, the shape of the trapping potential does not appear to adversely affect the evaporative heating efficiency of the vortex gas. Instead, the suppression of Onsager vortex formation in harmonic traps can be understood in terms of the energy of the vortex configurations. Furthermore, we find that the vortex-antivortex pair annihilation that underpins the vortex evaporative heating mechanism requires the interaction of at least three vortices. We conclude that experimental observation of Onsager vortices should be the most apparent in flat or inverted-bottom traps.

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How the literature uses it

2 arXiv papers cite this in 2 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 1 sentence without a confident label

Cites it as background 1 paper

What it cites · 2 sentences without a confident label

Uses the method or tool of 1 paper
  • To study the effect of the thermal cloud, we model non-zero temperatures using a damped Gross–Pitaevskii equation [ref] : [equation] where $γ$ is the temperature dependent dimensionless damping parameter, and $μ$ is the chemical potential.

    The stochastic Gross-Pitaevskii equation · Rate equation for evaporative heating of vortices · 0.99

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