Abstract

We Explore The Dynamics And Interactions Of Multiple Bright Droplets And Bubbles, As Well As The Interactions Of Kinks With Droplets And With Antikinks, In The Extended One-Dimensional Gross–Pitaevskii Model Including The Lee–Huang–Yang Correction. Existence Regions Are Identified For The One-Dimensional Droplets And Bubbles In Terms Of Their Chemical Potential, Verifying The Stability Of The Droplets And Exposing The Instability Of The Bubbles. The Limiting Case Of The Droplet Family Is A Stable Kink. The Interactions Between Droplets Demonstrate In-Phase (Out-Of-Phase) Attraction (Repulsion), With The So-Called Manton's Method Explicating The Observed Dynamical Response, And Mixed Behavior For Intermediate Values Of The Phase Shift. Droplets Bearing Different Chemical Potentials Experience Mass-Exchange Phenomena. Individual Bubbles Exhibit Core Expansion And Mutual Attraction Prior To Their Destabilization. Droplets Interacting With Kinks Are Absorbed By Them, A Process Accompanied By The Emission Of Dispersive Shock Waves And Gray Solitons. Kink–antikink Interactions Are Repulsive, Generating Counter-Propagating Shock Waves. Our Findings Reveal Dynamical Features Of Droplets And Kinks That Can Be Detected In Current Experiments.

Department(s)

Physics

Publication Status

Open Access

Comments

National Science Foundation, Grant DMS-2204702

Keywords and Phrases

Bose-Einstein condensates; Lee-Huang-Yang corrections; Manton's method; nonlinear excitations; quantum droplets; quantum fluctuations; solitons

International Standard Serial Number (ISSN)

2410-3896

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2024 The Authors, All rights reserved.

Creative Commons Licensing

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.

Publication Date

01 Sep 2023

Download

Full Text Link

Included in

Physics Commons

Share

 
COinS