1. Introduction
Topological insulators pave a concrete path to conduct topologically protected light transport. The introduction of topological phases into quantum optics provides topological protection of quantum states. Such topological quantum systems exhibit remarkably features to protect the generation and transport of quantum sources[l], and entangled biphoton states [3]–[4]. While many significant advancements have been made in this field, understanding the underlying aspects of topological phases in multi-wavelength systems remains challenging.