Fractional Gross-Pitaevskii equations in non-Gaussian attractive Bose-Einstein condensates

2024/10/10 by Jinge Yang, Yang, Jinge, Jianfu Yang +1 · 1 citation
Physics and Astronomy · #Analysis of PDEs (math.AP) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #Optical properties and cooling technologies in crystalline materials #Strong Light-Matter Interactions

paper · pdf · doi:10.48550/arxiv.2410.07510

openalex publication_date 2024/10/10 · openalex created_date 2024/10/13 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate normalized solutions of a fractional Gross-Pitaevskii equation, which arises in an attractive Bose-Einstein condensation consisting of N bosons moving by Lévy flights. We prove that there exists a positive constant N^*, such that if 0N^* and α closed to 2. We also study the asymptotic behavior of u_α and v_α as α→ 2_-.

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