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- W4311544073 abstract "As a continuation of [34], we consider ground states of rotating Bose-Einstein condensates with attractive interactions in non-radially harmonic traps V(x)=x12+Λ2x22, where 0<Λ≠1 and x=(x1,x2)∈R2. For any fixed rotational velocity 0≤Ω<Ω⁎:=2min{1,Λ}, it is known that ground states exist if and only if a<a⁎ for some critical constant 0<a⁎<∞, where a>0 denotes the product of the number of particles and the absolute value of the scattering length. We analyze the asymptotic expansions of ground states as a↗a⁎, which display the visible effect of Ω on ground states. As a consequence, we further prove that ground states do not have any vortex in the region R(a):={x∈R2:|x|≤C(a⁎−a)−112} as a↗a⁎ for some constant C>0, which is independent of 0<a<a⁎. En continuant le travail [34], nous considérons les états fondamentaux des condensats de Bose-Einstein en rotation avec des interactions attractives dans des pièges non radialement harmoniques V(x)=x12+Λ2x22, où 0<Λ≠1 et x=(x1,x2)∈R2. Pour toute vitesse de rotation fixe 0≤Ω<Ω⁎:=2min{1,Λ}, il est connu que les états fondamentaux existent si et seulement si a<a⁎ pour certaine constante critique 0<a⁎<∞, où a>0 désigne le produit du nombre de particules et la valeur absolue de la longueur de dispersion. Nous analysons les développements asymptotiques des états fondamentaux quand a↗a⁎, ce qui montrent l'effet visible de Ω sur les états fondamentaux. Comme conséquence, nous prouvons que les états fondamentaux ne présentent aucun vortex dans la région R(a):={x∈R2:|x|≤C(a⁎−a)−112} quand a↗a⁎ pour une certaine constante C>0, qui est indépendante de 0<a<a⁎." @default.
- W4311544073 created "2022-12-27" @default.
- W4311544073 creator A5063782050 @default.
- W4311544073 date "2023-02-01" @default.
- W4311544073 modified "2023-10-16" @default.
- W4311544073 title "The nonexistence of vortices for rotating Bose-Einstein condensates in non-radially symmetric traps" @default.
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- W4311544073 doi "https://doi.org/10.1016/j.matpur.2022.12.001" @default.
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