Dragging A Defect in a Droplet Bose-Einstein Condensate

Abstract

In the present work we consider models of quantum droplets in the presence of a defect in the form of a laser beam moving through the respective condensates including the Lee-Huang-Yang correction. Our analysis features separately an exploration of the existence, stability, bifurcations and dynamics in 1D, 2D and 3D settings. In the absence of an analytical solution of the problem, we provide an analysis of the speed of sound and observe how the states traveling with the defect may feature a saddle-center bifurcation as the speed or the strength of the defect is modified. Relevant bifurcation diagrams are constructed systematically, and the unstable states, as well as the dynamics past the existence of stable states is monitored. The connection of the resulting states with dark solitonic patterns in 1D, vortical states in 2D and vortex rings in 3D is accordingly elucidated.

13 pages, 14 figures

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Cited by in corpus (11)

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• Interactions and dynamics of one-dimensional droplets, bubbles and kinks
• Dark quantum droplets and solitary waves in beyond-mean-field Bose-Einstein condensate mixtures
• Stability and dynamics of nonlinear excitations in a two-dimensional droplet-bearing environment
• Dispersive shock waves in a one-dimensional droplet-bearing environment
• Phases and dynamics of few fermionic impurities immersed in two-dimensional boson droplets
• Generic transverse stability of kink structures in atomic and optical nonlinear media with competing attractive and repulsive interactions
• Traveling Bubbles and Vortex Pairs within Symmetric 2D Quantum Droplets
• Localization and splitting of a quantum droplet with a potential defect
• Rogue waves in extended Gross-Pitaevskii Models with a Lee-Huang-Yang correction
• A Lawson-time-splitting extended Fourier pseudospectral method for the Gross-Pitaevskii equation with time-dependent low regularity potential