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

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

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.

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

Received: 30 October 2017
Revised: 24 February 2018
Accepted manuscript online:

PACS:	03.75.Lm	(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
	05.30.Jp	(Boson systems)
	73.21.Cd	(Superlattices)

Fund: 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).

Corresponding Authors: Tian-Fu Xu, Cheng-Shi Liu
E-mail: tfxu@ysu.edu.cn;csliu@ysu.edu.cn

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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 2018 Chin. Phys. B 27 060307

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