为了研究相干光场作用下含原子运动的强度依赖Jaynes-Cummings模型中的量子态保真度, 采用全量子理论和数值计算的方法, 推导出系统、光场及原子的量子态保真度的解析表达式, 以及在不同的初始条件下相应的数值模拟结果。结果表明, 在相干光场作用下, 原子初始时刻所处状态、运动速度以及场模结构对体系、光场及原子的量子态保真度存在一定影响, 当原子初始处于基态和激发态同权重叠加态时, 原子运动速度越快, 量子态保真度越高; 场模结构参量越大, 量子态保真度越高。这一研究结果对量子态的制备和量子关联特性方面的认识具有一定的实际意义。

Based on the quantum theory and numerical calculation, the fidelities of quantum states were investigated in intensity-dependent Jaynes-Cummings model containing atomic motion under the interaction of coherent field. The analytical expressions of the fidelities of quantum states were derived and simulation results were obtained. In addition, the influence of atomic motion and the field mode structure on the fidelities of quantum states of the system in different atomic initial states was discussed. The results indicate that both the atomic motion and the field mode structure can modulate the fidelities of quantum states in the system of interaction. The greater the velocities of atomic motion, the higher the fidelities of the three systems are. On the other hand, the larger the field mode structures, the higher fidelity of the three systems. The results are meaningful for the development of quantum communication and quantum calculation.