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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

1 November 2019, 13:11:36

Date Modified

18 February 2020, 15:02:26

Audit Status

Audits have not yet been run on this file.

Characterization

File format: x-gzip (GZIP Format, GZIP)

Mime type: application/x-gzip

File size: 80095411

Last modified: 2020:02:18 15:09:59+00:00

Filename: figure_data.tar

Original checksum: 774417a7212f0490da103b022e97032a