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Adiabatic invariant analysis of dark and dark-bright soliton stripes in two-dimensional Bose-Einstein condensates
Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA..
KTH, School of Engineering Sciences (SCI), Physics.
San Diego State Univ, Nonlinear Dynam Syst Grp, Computat Sci Res Ctr, San Diego, CA 92182 USA.;San Diego State Univ, Dept Math & Stat, San Diego, CA 92182 USA..
Univ Athens, Dept Phys, Athens 15784, Greece..
2018 (English)In: Physical Review A: covering atomic, molecular, and optical physics and quantum information, ISSN 2469-9926, E-ISSN 2469-9934, Vol. 97, no 6, article id 063604Article in journal (Refereed) Published
Abstract [en]

In the present work, we develop an adiabatic invariant approach for the evolution of quasi-one-dimensional (stripe) solitons embedded in a two-dimensional Bose-Einstein condensate. The results of the theory are obtained both for the one-component case of dark soliton stripes, as well as for the considerably more involved case of the two-component dark-bright (alias "filled dark") soliton stripes. In both cases, analytical predictions regarding the stability and dynamics of these structures are obtained. One of our main findings is the determination of the instability modes of the waves as a function of the parameters of the system (such as the trap strength and the chemical potential). Our analytical predictions are favorably compared with results of direct numerical simulations.

Place, publisher, year, edition, pages
American Physical Society, 2018. Vol. 97, no 6, article id 063604
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-231182DOI: 10.1103/PhysRevA.97.063604ISI: 000434759300008Scopus ID: 2-s2.0-85048590621OAI: oai:DiVA.org:kth-231182DiVA, id: diva2:1234019
Funder
Swedish Research Council, 642-2013-7837Göran Gustafsson Foundation for Research in Natural Sciences and Medicine
Note

QC 20180720

Available from: 2018-07-20 Created: 2018-07-20 Last updated: 2018-08-08Bibliographically approved

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