Dragging A Defect in a Droplet Bose-Einstein Condensate

• Published in: arXiv.org
• Main Authors: Saqlain, S, Thudiyangal Mithun, Carretero-González, R, Kevrekidis, P G
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 09.09.2022
• Subjects: Bifurcations; Bose-Einstein condensates; Defects; Droplets; Dynamic stability; Exact solutions; Laser beams; Physics - Pattern Formation and Solitons; Physics - Quantum Gases; Stability analysis; Vortex rings
• DOI: 10.48550/arxiv.2209.04518

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.