AI 中文总结
本研究在准周期超冷原子气体中利用边缘局域缠绕态实现量子态转移，通过构建局部绝热协议并扩展至高阶，揭示了边缘局域化与谱隙的权衡，为实验参数选择和协议定制提供指导。
AI 中文摘要
超冷原子系统通过系统参数的精确动力学操控，为研究量子态转移提供了高度可控的平台。尽管在这些系统中已广泛探索了量子化的Thouless泵浦，但局域量子态的绝热边缘到边缘转移在很大程度上仍未得到探索。在此，我们考虑一维超冷原子气体被限制在双色光学晶格中，实现准周期的Aubry--André--Harper系统。我们利用其边缘局域的缠绕态来实现相对边界之间的量子态转移。从相应紧束缚模型的瞬时谱性质出发，我们构建了局部绝热协议，并将该方法扩展到更高协议阶数。然后，我们在完整连续双色晶格哈密顿量下模拟其动力学。我们的结果揭示了边缘局域化与最小谱隙之间的权衡：强局域态需要更长的转移时间，但可以从更高协议阶数中显著受益。我们还能够使用有效的两能级Landau--Zener描述，在广泛的参数范围内捕捉主要的保真度趋势和相干振荡。我们的结果为在准周期超冷原子系统中选择实验可访问的参数和定制量子转移协议提供了实用指南。
英文摘要
Ultracold atomic systems offer a highly controllable platform for investigating quantum state transfer through the precise dynamical manipulation of system parameters. While quantized Thouless pumping has been extensively explored in these systems, adiabatic edge-to-edge transfer of localized quantum states remains largely unexplored. Here, we consider a one-dimensional ultracold atomic gas confined in a bichromatic optical lattice realizing a quasiperiodic Aubry--André--Harper system. We use its edge-localized winding states to implement quantum state transfer between opposite boundaries. Starting from the instantaneous spectral properties of the corresponding tight-binding model, we construct locally adiabatic protocols and extend the approach to higher protocol orders. We then simulate their dynamics under the full continuum bichromatic-lattice Hamiltonian. Our results reveal a tradeoff between edge localization and the minimum spectral gap: strongly localized states require longer transfer times, but can benefit substantially from higher protocol orders. We are also able to capture the main fidelity trends and coherent oscillations over a broad parameter regime using an effective two-level Landau--Zener description. Our results provide practical guidelines for selecting experimentally accessible parameters and tailoring quantum transfer protocols in quasiperiodic ultracold atomic systems.
Comments25 pages, 16 figures
