AI 中文总结
该研究在三角形阶梯合成拓扑波导中，通过映射双空穴动力学到SSH链，证明存在手性双空穴束缚态，并推导其四体相互作用规律，为实现非线性量子网络提供了途径。
AI 中文摘要
非线性波导量子电动力学（Nonlinear waveguide QED）是研究关联光子动力学的平台，其与拓扑束缚态的相互作用可产生非常规现象。我们研究一种三角形阶梯波导，其中一对发射体通过强近邻相互作用形成双空穴（doublon）束缚态。通过将双空穴动力学映射到有效SSH链，我们证明该系统等价于耦合到拓扑双空穴浴的有效发射体。利用类空位修饰态方法，我们证明存在一种手性束缚态，其在耦合位点处有一个节点，且具有源自SSH边缘态的指数局域波函数。将该图像扩展到两对发射体，我们推导得到有效四体相互作用，其强度由束缚态的相对手性和分离奇偶性决定：当两个束缚态相对排列时，会出现相干拉比振荡；当它们背对背排列或分离为偶数时，相互作用消失。我们的结果为工程化关联光子对之间的可调多体相互作用、实现基于飞行双空穴的非线性量子网络提供了途径。
英文摘要
Nonlinear waveguide QED serves as a platform for studying correlated photon dynamics, where its interplay with topological bound states can give rise to unconventional phenomena. We investigate a triangular ladder waveguide in which a pair of emitters forms a doublon bound state through strong nearest-neighbor interactions. By mapping the doublon dynamics onto an effective SSH chain, we show that the system is equivalent to an effective emitter coupled to a topological doublon bath. Using the vacancy-like dressed state approach, we demonstrate the existence of a chiral bound state with a node at the coupling site and an exponentially localized wave function inherited from the SSH edge states. Extending this picture to two emitter pairs, we derive an effective four-body interaction whose strength is determined by the relative chirality and the separation parity of the bound states. When the two bound states face each other, coherent Rabi oscillations emerge; when they are arranged back-to-back or have an even separation, the interaction vanishes. Our results provide a route toward engineering tunable many-body interactions between correlated photon pairs and realizing nonlinear quantum networks based on flying doublons.
Comments12 pages, 7 figures
