1：Experimental Design and Method Selection:

The study involves a classically driven two-level system in a harmonic trap and a lossy two-mode cavity. The first mode is resonant to the driving field and an electronic transition, while the second mode is off-resonant, forming a vibrational-assisted Raman transition. An exact numerical method is used to compute the steady state and time evolution of the photon statistics.

2：Sample Selection and Data Sources:

The system under study is a theoretical model involving a two-level system and a bimodal cavity. No physical samples are used; data is generated through numerical simulations.

3：List of Experimental Equipment and Materials:

The study is theoretical, focusing on numerical simulations of a quantum system. No physical equipment or materials are listed.

4：Experimental Procedures and Operational Workflow:

The workflow involves setting up the theoretical model, applying numerical methods to solve for the steady state and time evolution of the system, and analyzing the results to understand photon statistics and correlations.

5：Data Analysis Methods:

The analysis involves computing photon statistics and correlations using numerical integration methods to understand the nonclassical properties of the system.