Dragging A Defect in a Droplet Bose-Einstein Condensate

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...

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Bibliographic Details
Published inarXiv.org
Main Authors Saqlain, S, Thudiyangal Mithun, Carretero-González, R, Kevrekidis, P G
Format Paper Journal Article
LanguageEnglish
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
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2209.04518