Dark-bright Solitons and their Lattices in Atomic Bose-Einstein Condensates

Abstract

In the present contribution, we explore a host of different stationary states, namely dark-bright solitons and their lattices, that arise in the context of multi-component atomic Bose-Einstein condensates. The latter, are modeled by systems of coupled Gross-Pitaevskii equations with general interaction (nonlinearity) coefficients $g_{ij}$. It is found that in some particular parameter ranges such solutions can be obtained in analytical form, however, numerically they are computed as existing in a far wider parametric range. Many features of the solutions under study, such as their analytical form without the trap or the stability/dynamical properties of one dark-bright soliton even in the presence of the trap are obtained analytically and corroborated numerically. Additional features, such as the stability of soliton lattice homogeneous states or their existence/stability in the presence of the trap, are examined numerically.

15 Pages, 11 figures

References in corpus (7)

• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Double species condensate with tunable interspecies interactions
• Generation of dark-bright soliton trains in superfluid-superfluid counterflow
• Vortex-Bright Soliton Dipoles: Bifurcations, Symmetry Breaking and Soliton Tunneling in a Vortex-Induced Double Well
• Coherent atomic soliton molecules for matter-wave switching
• Stable multidimensional soliton stripes in two-component Bose-Einstein condensates
• Scattering of atomic dark-bright solitons from narrow impurities

Cited by in corpus (17)

• Vector Dark-Antidark Solitary Waves in Multi-Component Bose-Einstein condensates
• Dark-Bright Soliton Dynamics Beyond the Mean-Field Approximation
• Phase Diagram, Stability and Magnetic Properties of Nonlinear Excitations in Spinor Bose-Einstein Condensates
• Controlled Generation of Dark-Bright Soliton Complexes in Two-Component and Spinor Bose-Einstein Condensates
• Dark-bright soliton pairs: bifurcations and collisions
• Dark-bright soliton interactions beyond the integrable limit
• 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
• Vortex-soliton complexes in coupled nonlinear Schrödinger equations with unequal dispersion coefficients
• Stability and Tunneling Dynamics of a Dark-Bright Soliton Pair in a Harmonic Trap
• Dark-bright solitons in spinor polariton condensates under nonresonant pumping
• Domain Walls and Vector Solitons in the Coupled Nonlinear Schrodinger Equation
• Propagation properties and stability of dark solitons in weakly interacting Bose-Bose droplets
• Dynamical generation of dark-bright solitons through the domain wall of two immiscible Bose-Einstein condensates
• Performing Hong-Ou-Mandel-type Numerical Experiments with Repulsive Condensates: The case of Dark and Dark-bright Solitons
• Optical creation of dark-bright soliton lattices in one-dimensional multicomponent Bose-Einstein condensates
• Stability and dynamics of dark-bright soliton bound states away from the integrable limit