论文标题
分析非马克维亚时间进化的示意方法：费米的两个原子问题和波导量子电动力学中的因果关系
Diagrammatic approach for analytical non-Markovian time-evolution: Fermi's two atom problem and causality in waveguide quantum electrodynamics
论文作者
论文摘要
量子系统的非马克维亚时间进化是一个具有挑战性的问题，通常通过采用数值方法或做出简化的假设来减轻。在这项工作中，我们通过开发一种图形方法来解决波导QED，该方法执行单光子状态的完全分析的非马克维亚时间演变。通过重新访问费米的两个原子问题，我们解决了一个阻碍的问题，即旋转波近似是否违反了单光子波导QED的因果关系。之后，我们介绍并证明\ emph {无上半平面电线杆（no-uhp）定理}，该}将散射参数的电线连接到因果关系原理。最后，我们可以看到该场介导的时间延迟的相干量子反馈，讨论马尔可维亚的极限量子的极限量子，这些量子位的短途因果关系发生了，并在此极限内出现了集体衰减率的出现。我们的示意方法是第一种在波导QED中执行多发射极系统的精确和分析非马克维亚时间演变的方法。
Non-Markovian time-evolution of quantum systems is a challenging problem, often mitigated by employing numerical methods or making simplifying assumptions. In this work, we address this problem in waveguide QED by developing a diagrammatic approach, which performs fully analytical non-Markovian time evolution of single-photon states. By revisiting Fermi's two atom problem, we tackle the impeding question of whether rotating-wave approximation violates causality in single-photon waveguide QED. Afterward, we introduce and prove the \emph{no upper half-plane poles (no-UHP) theorem}, which connects the poles of scattering parameters to the causality principle. Finally, we visualize the time-delayed coherent quantum feedback mediated by the field, discuss the Markovian limit for microscopically separated qubits where short-distance causality violations occur and the emergence of collective decay rates in this limit. Our diagrammatic approach is the first method to perform exact and analytical non-Markovian time evolution of multi-emitter systems in waveguide QED.
