发表机构
National University of Defense Technology; Shenzhen University（国防科技大学; 深圳大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究在一维半无限福克态晶格中探究Thouless泵浦，提出受拓扑保护的压缩福克态叠加态制备方案，将Thouless泵浦用作量子态工程工具以制备玻色模式非经典态。
AI 中文摘要
本文研究一维半无限福克态晶格中的Thouless泵浦。这类晶格的独特特征是由玻色模式产生的与√n相关的固有耦合，这会导致空间非均匀的隧穿振幅。在二聚体极限下，对福克态基下的拓扑不变量和量子化输运动力学进行了数值评估与分析。通过引入额外的胞间耦合并应用压缩变换，将该框架扩展到压缩福克态基下的Thouless泵浦，提出了一种受拓扑保护的制备压缩福克态叠加态的方案。本研究确立了福克态晶格中的Thouless泵浦是量子态工程的有用工具，将重点从观测拓扑输运转移到利用其制备玻色模式的非经典态。
英文摘要
In this paper, Thouless pumping in a one-dimensional semi-infinite Fock-state lattice is investigated. A distinctive feature of such lattices is the intrinsic $\sqrt{n}$-dependent coupling arising from the bosonic mode, which leads to spatially nonuniform hopping amplitudes. In the dimer limit, the topological invariants and the quantized transport dynamics in the Fock-state basis are numerically evaluated and analyzed. By introducing an additional inter-cell coupling and applying a squeezing transformation, the framework is then extended to Thouless pumping in the squeezed Fock-state basis, where a topologically protected scheme for preparing superpositions of squeezed Fock states is proposed. This study establishes Thouless pumping in Fock-state lattices as a useful tool for quantum state engineering, shifting the focus from observing topological transport to harnessing it for the preparation of non-classical states of the bosonic mode.
Comments7pages,5figures
