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Exploring the stability and dynamics of dipolar matter-wave dark solitons

Lookup NU author(s): Dr Matthew Edmonds, Dr Tom Bland, Professor Nick ParkerORCiD



This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


We study the stability, form, and interaction of single and multiple dark solitons in quasi-one-dimensional dipolar Bose-Einstein condensates. The solitons are found numerically as stationary solutions in the moving frame of a nonlocal Gross Pitaevskii equation and characterized as a function of the key experimental parameters, namely the ratio of the dipolar atomic interactions to the van der Waals interactions, the polarization angle, and the condensate width. The solutions and their integrals of motion are strongly affected by the phonon and roton instabilities of the system. Dipolar matter-wave dark solitons propagate without dispersion and collide elastically away from these instabilities, with the dipolar interactions contributing an additional repulsion or attraction to the soliton-soliton interaction. However, close to the instabilities, the collisions are weakly dissipative.

Publication metadata

Author(s): Edmonds MJ, Bland T, O'Dell DHJ, Parker NG

Publication type: Article

Publication status: Published

Journal: Physical Review A

Year: 2016

Volume: 93

Issue: 6

Pages: 1-12

Print publication date: 01/06/2016

Online publication date: 15/06/2016

Acceptance date: 29/04/2016

Date deposited: 15/06/2016

ISSN (print): 0556-2791

Publisher: American Physical Society


DOI: 10.1103/PhysRevA.93.063617


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Funder referenceFunder name
Natural Sciences and Engineering Research Council (NSERC) of Canada
EP/M005127/1Engineering and Physical Sciences Research Council
EP/M005127/1Engineering and Physical Sciences Research Council