2016/03/15 by Z. Z. Wang, Wang, Z. Z., C. S. Liu +13 · 1 citation
Mathematics · Physics and Astronomy · #Adiabatic process #Boson #Boundary (topology) #Boundary value problem #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Eigenvalues and eigenvectors #Enhanced Data Rates for GSM Evolution #FOS: Physical sciences #Invariant (physics) #Mathematical analysis #Mathematics #Nonlinear Photonic Systems #Physics #Quantum Gases (cond-mat.quant-gas) #Quantum and electron transport phenomena #Quantum mechanics #Superlattice #cond-mat.quant-gas
paper · pdf · doi:10.48550/arxiv.1603.04700
published in arXiv (Cornell University) (Cornell University) · This paper has been withdrawn by the author since some paragraphs have to be rewriteen
openalex publication_date 2016/03/15 · arxiv created 2016/03/17 · arxiv updated 2016/03/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We comprehensively investigate the nontrivial states of interacting Bose system in one-dimensional optical superlattices under the open boundary condition. Our results show that there exists a kind of stable localized states: 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. 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 extend states under the open boundary condition are discussed.