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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.
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The abstract, sentence by sentence
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
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| 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 |
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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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