Dark-Bright Discrete Solitons: A Numerical Study of Existence, Stability and Dynamics

Abstract

In the present work, we numerically explore the existence and stability properties of different types of configurations of dark-bright solitons, dark-bright soliton pairs and pairs of dark-bright and dark solitons in discrete settings, starting from the anti-continuum limit. We find that while single discrete dark-bright solitons have similar stability properties to discrete dark solitons, their pairs may only be stable if the bright components are in phase and are always unstable if the bright components are out of phase. Pairs of dark-bright solitons with dark ones have similar stability properties as individual dark or dark-bright ones. Lastly, we consider collisions between dark-bright solitons and between a dark-bright one and a dark one. Especially in the latter and in the regime where the underlying lattice structure matters, we find a wide range of potential dynamical outcomes depending on the initial soliton speed.

To be published in Physica D

References in corpus (8)

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• Generation of dark-bright soliton trains in superfluid-superfluid counterflow
• Dynamics of Dark-Bright Solitons in Cigar-Shaped Bose-Einstein Condensates
• Interaction of dark-bright solitons in two-component Bose-Einstein condensates
• Formation and light guiding properties of dark solitons in one-dimensional waveguide arrays
• Stable multidimensional soliton stripes in two-component Bose-Einstein condensates
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Cited by in corpus (14)

• Beating dark-dark solitons in Bose-Einstein condensates
• Multiple dark-bright solitons in atomic Bose-Einstein condensates
• Dark-bright solitons in coupled nonlinear Schrödinger equations with unequal dispersion coefficients
• Scattering of atomic dark-bright solitons from narrow impurities
• Dark-bright solitons in Bose-Einstein condensates at finite temperatures
• Statics and dynamics of atomic dark-bright solitons in the presence of delta-like impurities
• Dark-bright gap solitons in coupled-mode one-dimensional saturable waveguide arrays
• Transitions From Order to Disorder in Multi-Dark and Multi-Dark-Bright Soliton Atomic Clouds
• Spontaneous generation of dark-bright and dark-antidark solitons upon quenching a particle-imbalanced bosonic mixture
• Composite vortices in nonlinear circular waveguide arrays
• Stability and Tunneling Dynamics of a Dark-Bright Soliton Pair in a Harmonic Trap
• On-demand generation of dark-bright soliton trains in Bose-Einstein condensates
• Negative radiation pressure in Bose-Einstein condensates
• Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schrödinger lattices