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Interference Pattern Formation between Bounded-Solitons and Radiation in Momentum Space: Possible Detection of Radiation from Bounded-Solitons with Bose-Einstein Condensate of Neutral Atoms

Quantum Gases · Submitted 27 Mar 2012

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

The authors' main claim We show that the radiation causes a notched structure on the envelope of the wave packet in the momentum space.

how it is stated · asserted 1.00 read the record →

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arXiv ID1203.5907 (version 2)
Pith IDUR6TPC6V, Pith's permanent record of this paper and its review
CitationHironobu Fujishima, Makoto Mine, Masahiko Okumura, Tetsu Yajima. "Interference Pattern Formation between Bounded-Solitons and Radiation in Momentum Space: Possible Detection of Radiation from Bounded-Solitons with Bose-Einstein Condensate of Neutral Atoms." arXiv:1203.5907 (2012). https://pith.science/paper/UR6TPC6V
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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,828 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.19 · human participants 0.02 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.07 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We propose an indirect method to observe radiation from an incomplete soliton with sufficiently large amplitude. We show that the radiation causes a notched structure on the envelope of the wave packet in the momentum space. The origin of this structure is a result of interference between the main body of oscillating solitons and the small radiation in the momentum space. We numerically integrate the nonlinear Schr\"odinger equation and perform Fourier transformation to confirm that the predicted structure really appears. We also show the simple model which reproduces the qualitative result. Experimental detection of the notched structure with Bose-Einstein condensation of neutral atoms is discussed and suitable parameters for this detection experiment 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 propose an indirect method to observe radiation from an incomplete soliton with sufficiently large amplitude. contribution 0.97 0.53 0.20 asserted 0.57
s1 We show that the radiation causes a notched structure on the envelope of the wave packet in the momentum space. result 0.99 0.87 0.35 asserted 1.00
s2 The origin of this structure is a result of interference between the main body of oscillating solitons and the small radiation in the momentum space. interpretation 0.96 0.64 0.28 asserted 1.00
s3 We numerically integrate the nonlinear Schr\"odinger equation and perform Fourier transformation to confirm that the predicted structure really appears. method 0.87 0.96 0.10 asserted 1.00
s4 We also show the simple model which reproduces the qualitative result. method 0.61 0.92 0.06 asserted 1.00
s5 Experimental detection of the notched structure with Bose-Einstein condensation of neutral atoms is discussed and suitable parameters for this detection experiment are shown. future work 0.61 0.60 0.16 asserted 0.61

What kind of paper the classifier reports this is: method or tool 0.50 · evidence from simulation or computation 1.00.

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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 propose an indirect method to observe radiation from an incomplete soliton with sufficiently large amplitude. We show that the radiation causes a notched structure on the envelope of the wave packet in the momentum space. The origin of this structure is a result of interference between the main body of oscillating solitons and the small radiation in the momentum space. We numerically integrate the nonlinear Schr\"odinger equation and perform Fourier transformation to confirm that the predicted structure really appears. We also show the simple model which reproduces the qualitative result. Experimental detection of the notched structure with Bose-Einstein condensation of neutral atoms is discussed and suitable parameters for this detection experiment are shown.

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