Solving the Detection Model of Rydberg Atomic Electric Field Based on Time Parallel Method

Rydberg atoms are emerging as a powerful tool for quantum precision measurement, owing to their broad bandwidth and high sensitivity to microwave electric fields. These properties make Rydberg atoms a key focus of contemporary research in the field. To better understand their detection capabilities, a semiclassical model based on optical Bloch equations is developed. A time-parallel algorithm is then introduced to efficiently solve the system's equations, significantly improving computational performance. In the case of a four-level detection system, this algorithm achieves a 50-fold increase in efficiency compared to traditional iterative methods. The results highlight the effectiveness of the time-parallel approach in enhancing both computational speed and detection accuracy. This methodology provides a reliable theoretical framework that could drive future advancements in quantum precision measurement technologies.