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

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.

11 pages, 6 figures, supplemental movies available at: http://nonlinear.sdsu.edu/~carreter/DS_DB.html

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Cited by in corpus (7)

• Reduced dynamics for one and two dark soliton stripes in the defocusing nonlinear Schrödinger equation: a variational approach
• Dark-dark soliton breathing patterns in multi-component Bose-Einstein condensates
• Planar and Radial Kinks in Nonlinear Klein-Gordon Models: Existence, Stability and Dynamics
• Dynamics of interacting dark soliton stripes
• Nonequilibrium Landau-Zener Tunneling in Exciton-Polariton Condensates
• Dynamics and stabilization of bright soliton stripes in the hyperbolic-dispersion nonlinear Schrödinger equation
• Rotational states of an asymmetric vortex pair with mass imbalance in binary condensates