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Stability of single and multiple matter-wave dark solitons in collisionally inhomogeneous Bose-Einstein condensates

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P.G. Kevrekidis, R. Carretero-Gonzalez, D.J. Frantzeskakis

Pattern Formation and Solitons · Submitted 18 Mar 2017

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

The authors' main claim We find that the scattering length modulation can cause a variety of features absent for homogeneous nonlinearities.

how it is stated · asserted 0.56 read the record →

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arXiv ID1703.06225 (version 1)
Pith IDRPQ2TOHK, Pith's permanent record of this paper and its review
CitationD.J. Frantzeskakis, P.G. Kevrekidis, R. Carretero-Gonzalez. "Stability of single and multiple matter-wave dark solitons in collisionally inhomogeneous Bose-Einstein condensates." arXiv:1703.06225 (2017). https://pith.science/paper/RPQ2TOHK
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,374 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.25 · human participants 0.01 · controlled comparison 0.24 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.89 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We examine the spectral properties of single and multiple matter-wave dark solitons in Bose-Einstein condensates confined in parabolic traps, where the scattering length is periodically modulated. In addition to the large-density limit picture previously established for homogeneous nonlinearities, we explore a perturbative analysis in the vicinity of the linear limit, which provides good agreement with the observed spectral modes. Between these two analytically tractable limits, we use numerical computations to fill in the relevant intermediate regime. We find that the scattering length modulation can cause a variety of features absent for homogeneous nonlinearities. Among them, we note the potential oscillatory instability even of the single dark soliton, the potential absence of instabilities in the immediate vicinity of the linear limit for two dark solitons, and the existence of an exponential instability associated with the in-phase motion of three dark solitons.

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 examine the spectral properties of single and multiple matter-wave dark solitons in Bose-Einstein condensates confined in parabolic traps, where the scattering length is periodically modulated. contribution 0.98 0.89 0.05 asserted 0.88
s1 In addition to the large-density limit picture previously established for homogeneous nonlinearities, we explore a perturbative analysis in the vicinity of the linear limit, which provides good agreement with the observed spectral modes. method 0.70 0.86 0.07 asserted 0.92
s2 Between these two analytically tractable limits, we use numerical computations to fill in the relevant intermediate regime. method 0.98 0.94 0.04 asserted 0.94
s3 We find that the scattering length modulation can cause a variety of features absent for homogeneous nonlinearities. result 0.98 0.82 0.34 asserted 0.56
s4 Among them, we note the potential oscillatory instability even of the single dark soliton, the potential absence of instabilities in the immediate vicinity of the linear limit for two dark solitons, and the existence of an exponential instability associated with the in-phase motion of three dark solitons. result 1.00 0.95 0.70 asserted 0.50

What kind of paper the classifier reports this is: theoretical result 0.62 · evidence from simulation or computation 0.96.

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  • T body sentences
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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 examine the spectral properties of single and multiple matter-wave dark solitons in Bose-Einstein condensates confined in parabolic traps, where the scattering length is periodically modulated. In addition to the large-density limit picture previously established for homogeneous nonlinearities, we explore a perturbative analysis in the vicinity of the linear limit, which provides good agreement with the observed spectral modes. Between these two analytically tractable limits, we use numerical computations to fill in the relevant intermediate regime. We find that the scattering length modulation can cause a variety of features absent for homogeneous nonlinearities. Among them, we note the potential oscillatory instability even of the single dark soliton, the potential absence of instabilities in the immediate vicinity of the linear limit for two dark solitons, and the existence of an exponential instability associated with the in-phase motion of three dark solitons.

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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

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