一维超晶格中相互作用玻色子的拓扑保护边隙孤子
Topologically protected edge gap solitons of interacting Bosons in one-dimensional superlattices
摘要：
在开边界条件下，我们研究了一维光学超晶格中相互作用玻色系统的非平凡态。结果表明，存在一种稳定的局域态：边隙孤子。我们认为，这些状态起源于独立的边缘抛物线的本征态。特别地，边缘间隙孤子表现出非零拓扑不变量。拓扑性质是由于本模型的量子化绝热粒子输运问题的连接。此外，还讨论了在开边界条件下，带隙孤子与扩展态之间的合成关系。
英文摘要：
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.
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