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Dynamics of interacting dark soliton stripes
Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA..
KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.
Univ Maine, UMR CNRS 6613, Lab Acoust, Ave Olivier Messiaen, F-72000 Le Mans, France..
Univ Athens, Dept Phys, Athens 15784, Greece..
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2019 (English)In: Physical Review A: covering atomic, molecular, and optical physics and quantum information, ISSN 2469-9926, E-ISSN 2469-9934, Vol. 100, no 3, article id 033607Article in journal (Refereed) Published
Abstract [en]

In the present work we examine the statics and dynamics of multiple parallel dark soliton stripes in a two-dimensional Bose-Einstein condensate. Our principal goal is to study the effect of the interaction between the stripes on the transverse instability of the individual stripes. The cases of two-, three-, and four-stripe states are studied in detail. We use a recently developed adiabatic invariant formulation to derive a quasianalytical prediction for the stripe equilibrium position and for the Bogoliubov-de Gennes spectrum of excitations of stationary stripes. We subsequently test our predictions against numerical simulations of the full two-dimensional Gross-Pitaevskii equation. We find that the number of unstable eigenmodes increases as the number of stripes increases due to (unstable) relative motions between the stripes. Their corresponding growth rates do not significantly change, although for large chemical potentials, the larger the stripe number, the larger the maximal instability growth rate. The instability induced dynamics of multiple stripe states and their decay into vortices are also investigated.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2019. Vol. 100, no 3, article id 033607
Keywords [en]
NARDO B, 1992, PHYSICAL REVIEW LETTERS, V68, P1730
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:kth:diva-261014DOI: 10.1103/PhysRevA.100.033607ISI: 000485187700012Scopus ID: 2-s2.0-85072632830OAI: oai:DiVA.org:kth-261014DiVA, id: diva2:1356935
Note

QC 20191002

Available from: 2019-10-02 Created: 2019-10-02 Last updated: 2019-10-02Bibliographically approved

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Wang, Wenlong

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