Limit Behavior of Ground States of 2D Binary BECs in Steep Potential Wells

作者全名："Kong, Yuzhen; Cui, Zhiyuan; Zhao, Dun"

作者地址："[Kong, Yuzhen; Cui, Zhiyuan; Zhao, Dun] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China; [Kong, Yuzhen] Chongqing Med Univ, Coll Med Informat, Chongqing 400016, Peoples R China"

通信作者："Zhao, D (通讯作者)，Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China."

来源：ACTA MATHEMATICA SCIENTIA

ESI学科分类：MATHEMATICS

WOS号：WOS:000869834800023

JCR分区：Q1

影响因子：1.2

年份：2023

卷号：43

期号：1

开始页：409

结束页：438

文献类型：Article

关键词：ground state; binary Bose-Einstein condensate; steep potential well; limit behavior

摘要："We study the ground states of attractive binary Bose-Einstein condensates with N particles, which are trapped in the steep potential wells lambda V(x) in Double-struck capital R-2. We show that there exists a positive number N-* such that if N > N-*, the system admits no ground state for any lambda > 0. Moreover, there exist two positive numbers, M-* and lambda* (N), such that if N < M-*, then for any lambda > lambda*(N), the system admits at least one ground state. As lambda -> infinity, for any fixed N < M-*, we give a detailed description for the limit behavior of both positive and semi-trivial ground states."

基金机构："NSFC [12075102, 11971212]; Fundamental Research Funds for the Central Universities [lzujbky-2020-pd01]"

基金资助正文：This work is supported by NSFC (12075102 and 11971212) and the Fundamental Research Funds for the Central Universities (lzujbky-2020-pd01).