Axial Symmetry and Refined Spike Profiles of Ground States for Rotating Two-Component Bose Gases
Year: 2023
Type: preprint
Abstract: This paper considers ground states of two-component Bose gases confined in an anharmonic trap rotating at the velocity $0<Ω<\infty$, where the intraspecies interaction $(-a_1,-a_2)$ and the interspecies interaction $-β$ are both attractive, i.e, $a_1, a_2$ and $β$ are all positive. We prove the axially symmetry and the refined spike profiles of ground states as $β\nearrowβ^*:=a^*+\sqrt{(a^*-a_1)(a^*-a_2)}$, where $00$ is the unique positive solution of $-Δu+u-u^3=0$ in $\mathbb{R}^2$.
Source: arXiv (Cornell University)
Authors: Gao, Yongshuai, Luo, Yong
Institution: Central China Normal University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G3379762133
OpenAlex ID: W4388962958