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Stability of two-component attractive Bose-Einstein condensates

Xinlu Zhou, Jian Zhang

Published Oct 8, 2025• 0 citations
Publisher

Abstract

We consider the critical coupled nonlinear Gross-Pitaevskii equations with attractive interactions in harmonic potentials, modeling two-component Bose-Einstein condensates (BEC). By using the variational characteristic of the classic nonlinear scalar field equation and the Hamilton conservations, we determine the sharp threshold for global existence of the Cauchy problem on mass. Based on this threshold, we prove the existence and orbital stability of the ground states.

DOI
10.22541/au.175992153.34959547/v1

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