发表机构
Korea Institute of Energy Technology; University of Cambridge; Yonsei University; Institute for Basic Science (IBS)（韩国能源技术研究院; 剑桥大学; 延世大学; 基础科学研究院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究对比两种时间顺序不同的混合量子行走，发现其扩散系数振幅存在约两倍差异，提出的分析框架可推广至量子-经典混合系统。
AI 中文摘要
量子行走以弹道式扩散，但在加入经典混合成分后会变为扩散式。我们对比了两种混合行走，它们在相同的经典步速率下使用相同的量子步和经典步，但时间顺序不同。任何非零的混合成分都会产生扩散。在量子极限附近，两种扩散系数都存在一阶极点，但它们的振幅相差约两倍。相干时间尺度决定极点阶数，而时间组织决定振幅。我们期望该分析框架能广泛应用于量子-经典混合系统。
英文摘要
One-dimensional quantum--classical hybrid walks are introduced by combining quantum and classical steps under periodic and random protocols. Exact diffusion coefficients are derived for both protocols throughout the diffusive regime. The exact results show how diffusion depends on the average frequency and temporal arrangement of classical steps. As the average frequency approaches zero, both diffusion coefficients diverge inversely with the frequency. At matched average frequencies, the ratio of the diffusion coefficients for the random and periodic protocols approaches two. A finite-mode approximation is also developed and tested against the exact diffusion coefficient for the random protocol. The exact results for the one-dimensional model provide a foundation for future studies of more general quantum--classical hybrid walks.
Comments11 pages, 2 figures
