Adiabatic invariant analysis of dark and dark-bright soliton stripes in two-dimensional Bose-Einstein condensates

P. G. Kevrekidis, Wenlong Wang, R. Carretero-González, and D. J. Frantzeskakis
Phys. Rev. A 97, 063604 – Published 8 June 2018
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Abstract

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.

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  • Received 31 March 2018

DOI:https://doi.org/10.1103/PhysRevA.97.063604

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsNonlinear DynamicsAtomic, Molecular & Optical

Authors & Affiliations

P. G. Kevrekidis1, Wenlong Wang2,*, R. Carretero-González3,†, and D. J. Frantzeskakis4

  • 1Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA
  • 2Department of Theoretical Physics, Royal Institute of Technology, Stockholm, SE-106 91, Sweden
  • 3Nonlinear Dynamical Systems Group, Computational Sciences Research Center, and Department of Mathematics and Statistics, San Diego State University, San Diego, California 92182-7720, USA
  • 4Department of Physics, National and Kapodistrian University of Athens, Panepistimiopolis, Zografos, 15784 Athens, Greece

  • *wenlongcmp@gmail.com
  • http://nlds.sdsu.edu

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Issue

Vol. 97, Iss. 6 — June 2018

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