Chiral doublon bound states in a synthetic topological waveguide

• URL: http://arxiv.org/abs/2608.22718v1
• Date: Mon, 24 Aug 2026 02:09:42 GMT
• Title: Chiral doublon bound states in a synthetic topological waveguide
• Abstract summary: We investigate a triangular ladder waveguide in which a pair of emitters forms a doublon bound state through strong nearest-neighbor interactions.<n>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.<n>Our results provide a route toward engineering tunable many-body interactions between correlated photon pairs and realizing nonlinear quantum networks based on flying doublons.
• Score: 4.523537119901927
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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