Topologically protected edge gap solitons of interacting Bosons in one-dimensional superlattices

作     者：Xi-Hua Guo Tian-Fu Xu Cheng-Shi Liu 郭西华;徐天赋;刘承师

作者机构：Department of Physics Yanshan University Qinhuangdao 066004 China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2018年第27卷第6期

页      面：173-178页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：supported by the Natural Science Foundation of Hebei Province,China(Grant Nos.A2012203174 and A2015203387) the National Natural Science Foundation of China(Grant Nos.10974169 and 11304270) 

主　　题：one-dimensional optical superlattices interacting Boses edge gap solitons topological invariant 

摘      要：We comprehensively investigate the nontrivial states of an interacting Bose system in a cosine potential under the open boundary condition. Our results show that there exists a kind of stable localized state： edge gap solitons. We argue that the states originate from the eigenstates of independent edge parabolas. In particular, the edge gap solitons exhibit a nonzero topological-invariant behavior. The topological nature is due to the connection of the present model to the quantized adiabatic particle transport problem. In addition, the composition relations between the gap solitons and the extended states are also discussed.