Non‐Hermitian Jumps and EP Loops in the Rates of Coincidence Counts of Time‐Energy‐Entangled W Triphotons

Manipulating the dissipative dynamics of multiphoton entangled states offers a novel paradigm for quantum information processing. Here, we theoretically investigate the topological dynamics of time‐energy entangled tripartite W‐states generated via spontaneous six‐wave mixing in an atomic ensemble. By constructing an effective non‐Hermitian Hamiltonian, we map energy‐level splitting onto the temporal rates of coincidence counts (RCC). We reveal that multichannel quantum interference manifests as damped Rabi oscillations, with double cascaded and double nested dressing configurations inducing complete and incomplete non‐Hermitian jumps, respectively. Furthermore, we uncover a topological “Multi‐Jump” phenomenon driven by multi‐dressed high‐order Hamiltonian exceptional points (HEPs). Under critical parameter matching, the dressing phase acts as a topological switch, guiding the system across Riemann branch cuts to form closed loops, thereby exhibiting semi‐quantum characteristics that fuse macroscopic wave evolution with microscopic discrete jumps. Deviations from criticality lead to the rupture of topological connectivity. This work provides a foundation for simulating non‐unitary jump dynamics via HEP frameworks and for designing topological‐response‐based quantum sensors.