The interaction between two modes quantized field and asymmetric two atoms represents one of the important quantum models to study the nonclassical quantized phenomena. The two modes multiphoton processes and interacting asymmetric two two-level atoms are introduced in the proposed quantum system. The time dependent solution of the proposed quantum system is computed analytically for asymmetric and symmetric cases. This analytical solution depends on the eigenvalues and the eigenvectors of the coefficient matrix of the Schrödinger equation. The nonclassical features of the proposed quantum system are evaluated as the entanglement and the atomic populations. The entanglement between atom and field is measured via the von Neumann entropy while the entanglement between two atoms is measured by the concurrence. These quantized features are analyzed for variety of the detuning parameter, the atom-atom coupling constant, and the numbers of two photon modes. The most important observations are that: If the numbers of two photon modes are identical, the von Neumann entropy is strong most of the time, the periodic time of the entropy and atomic populations is double comparing with other cases, and the concurrence is non-existent for asymmetric case. In the presence the detuning parameter and the atom-atom coupling constant, the von Neumann entropy increases with time while the amplitude of the concurrence decreases with time for symmetric case. The fluctuations of the von Neumann entropy for symmetric case are stable and uniform more than its for asymmetric case. The concurrence is irregular for asymmetric case. Furthermore, there are other quantized effects of the proposed model which are discussed for symmetric and asymmetric cases.

两种模式量子化场与不对称的两个原子之间的相互作用是研究非经典量子化现象的重要量子模型之一。在所提出的量子系统中引入了两种模式的多光子过程和相互作用的不对称的两个两能级原子。所提出的量子系统的时间相关解是针对非对称和对称情况进行分析计算的。该解析解取决于薛定谔方程的系数矩阵的特征值和特征向量。所提出的量子系统的非经典特征被评估为纠缠和原子布居。原子和场之间的纠缠通过冯诺依曼熵测量，而两个原子之间的纠缠通过并发测量。分析这些量化特征的各种失谐参数、原子-原子耦合常数和两种光子模式的数量。最重要的观察结果是：如果两个光子模式的数量相同，则冯诺依曼熵在大多数情况下很强，熵和原子布居的周期时间与其他情况相比是双倍的，并且不一致存在于非对称情况。在存在失谐参数和原子-原子耦合常数的情况下，冯诺依曼熵随时间增加，而对称情况下并发幅度随时间减小。对称情况下的冯诺依曼熵的波动比非对称情况下的更稳定和均匀。对于非对称情况，并发是不规则的。此外，