Year-end Sale % OFF 
Abstract
We studied the evolution of vortex solitons in two-component coupled Bose-Einstein condensates trapped in a harmonic potential. Using a two-dimensional coupled Gross-Pitaevskii equation model and a variational method, we theoretically derived the vortex soliton solution. Under an appropriate parametric setting, the derived vortex soliton radius was found to oscillate periodically. The derived quasi-stable states with typical nonlinear features are pictorially demonstrated and can be used to guide relevant experimental observations of vortex soliton phenomena in coupled ultracold atomic systems.
Highlights
During the past two decades, there has been a strong research concentration on Bose-Einstein condensate (BEC)-related studies and nonlinear phenomena investigation has been a hot topic
Tremendous progress has been made on studies of typical nonlinear features such as solitons and vortices, and stability that has been predicted[1] in competing nonlinear media is a concern
Better control of the physical situation can be achieved in coupled ultracold atomic gases such as multi-component BECs6 or BECs with impurities
Summary
During the past two decades, there has been a strong research concentration on Bose-Einstein condensate (BEC)-related studies and nonlinear phenomena investigation has been a hot topic. E.g., white solitons, can undergo periodic oscillation and has been proved to be stable.[4] in self-focus media, the propagation of vortices stays relatively stable as a result of the nonlocal nonlinearity.[5] Better control of the physical situation can be achieved in coupled ultracold atomic gases such as multi-component BECs6 or BECs with impurities. Using a two-dimensional coupled Gross-Pitaevskii equation (GPE) model[8,9,10,11,12,13,14,15,16] and a variational method,[17,18] we derived the analytical vortex soliton solution for the dilute component and determined that, under a certain parametric setting, the system’s distribution width, which is a time-dependent parametric function, oscillates periodically such that the vortex ring showing up in the system expands and contracts alternately and stays in a quasi-stable dynamic state.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
