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

doi:10.1088/1674-1056/27/6/060307

中国物理B ›› 2018, Vol. 27 ›› Issue (6): 60307-060307.doi: 10.1088/1674-1056/27/6/060307

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

Xi-Hua Guo(郭西华), Tian-Fu Xu(徐天赋), Cheng-Shi Liu(刘承师)

Department of Physics, Yanshan University, Qinhuangdao 066004, China

收稿日期:2017-10-30 修回日期:2018-02-24 出版日期:2018-06-05 发布日期:2018-06-05
通讯作者: Tian-Fu Xu, Cheng-Shi Liu E-mail:tfxu@ysu.edu.cn;csliu@ysu.edu.cn
基金资助:
Project supported by the Natural Science Foundation of Hebei Province,China (Grant Nos.A2012203174 and A2015203387) and the National Natural Science Foundation of China (Grant Nos.10974169 and 11304270).

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

Xi-Hua Guo(郭西华), Tian-Fu Xu(徐天赋), Cheng-Shi Liu(刘承师)

Department of Physics, Yanshan University, Qinhuangdao 066004, China

Received:2017-10-30 Revised:2018-02-24 Online:2018-06-05 Published:2018-06-05
Contact: Tian-Fu Xu, Cheng-Shi Liu E-mail:tfxu@ysu.edu.cn;csliu@ysu.edu.cn
Supported by:
Project supported by the Natural Science Foundation of Hebei Province,China (Grant Nos.A2012203174 and A2015203387) and the National Natural Science Foundation of China (Grant Nos.10974169 and 11304270).

摘要/Abstract

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.

关键词: one-dimensional optical superlattices, interacting Boses, edge gap solitons, topological invariant

Abstract: 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.

Key words: one-dimensional optical superlattices, interacting Boses, edge gap solitons, topological invariant

中图分类号: (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

03.75.Lm

05.30.Jp (Boson systems) 73.21.Cd (Superlattices)

郭西华, 徐天赋, 刘承师. Topologically protected edge gap solitons of interacting Bosons in one-dimensional superlattices[J]. 中国物理B, 2018, 27(6): 60307-060307.

Xi-Hua Guo(郭西华), Tian-Fu Xu(徐天赋), Cheng-Shi Liu(刘承师). Topologically protected edge gap solitons of interacting Bosons in one-dimensional superlattices[J]. Chin. Phys. B, 2018, 27(6): 60307-060307.

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

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

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