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Splitting of two-component solitons from collisions with narrow potential barriers [dataset]

Splitting of two-component solitons from collisions with narrow potential barriers [dataset] Open Access

We consider the interaction of two component bright-bright solitons with a narrow potential barrier (splitter) in the framework of the two-component Gross-Pitaevskii (nonlinear-Schroedinger) system, with self-attraction within each component and cross-attraction between the components, motivated by the splitting of composite solitons facilitating the design of two-component soliton-interferometer schemes. We determine approximate analytic results by assuming a weak potential barrier and applying perturbation theory to the limit where the system becomes integrable. We do this for the case of negligible interspecies interactions, and also when the nonlinearities are strongly asymmetric, such that the wavefunction for the component with a smaller population is solved by neglecting its self-interaction term and the other component constitutes a bright soliton. We use numerical simulations to find the transmissions of both components in regions outside of these approximations and to compare with the approximate analytics, finding that there is an appreciable parameter range where one component is essentially entirely transmitted and the other reflected.

Descriptions

Resource type
Dataset
Contributors
Creator: Grimshaw, Callum 1
1 Durham University, UK
Funder
Engineering and Physical Sciences Research Council
Research methods
Numerical study
Other description
Keyword
solitons
solitary waves
two-component BEC
matter-wave interferometry
Subject
Solitons
Differential equations, Nonlinear
Bose-Einstein condensates
Location
Language
English
Cited in
Identifier
ark:/32150/r2cv43nw82q
doi:10.15128/r2cv43nw82q
Rights
Creative Commons Attribution 4.0 International (CC BY)

Publisher
Durham University
Date Created

File Details

Depositor
C.L. Grimshaw
Date Uploaded
Date Modified
1 November 2019, 17:11:47
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File format: x-gzip (GZIP Format, GZIP)
Mime type: application/x-gzip
File size: 32157635
Last modified: 2019:11:01 13:13:43+00:00
Filename: figure_data.tar
Original checksum: 44d62837f4aba84092a7656eaa699a38
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