标题： 2+1维狄拉克-莫欣斯基振子与外部同位旋场耦合到杰恩斯-卡明斯模型的映射 显示英文标题

标题： Mapping of the 2+1 Dirac-Moshinsky Oscillator Coupled to an External Isospin Field onto Jaynes-Cummings Model

摘要： 在本文中，与外部同位旋场耦合的2+1维Dirac-Moshinsky振子（2+1 DMO）被映射到Jaynes-Cummings模型（JCM），该模型描述了两个两能级系统与一个量子单模场之间的相互作用。 在两种情况下得到了时间依赖的波函数和密度矩阵。 在第一种情况下，考虑了量子数态，而在第二种情况下，将相干态作为初始态。 研究了失谐参数和相干角对纠缠和粒子数反转的影响。 结果表明，相干态比数态更能准确描述纠缠和粒子数反转。 显示英文摘要

摘要： In this paper, the 2+1 Dirac-Moshinsky oscillator (2+1 DMO) coupled to an external isospin field is mapped onto the Jaynes-Cummings model (JCM), which describes the interaction between two two-level systems and a quantum single-mode field. The time-dependent wave function and the density matrix are obtained in the two cases. In the first case, the quantum number state is considered, while in the second case, the coherent state is considered as an initial state. The effect of both the detuning parameter and the coherence angle are studied on the entanglement and on the population inversion. It has been shown that the coherent state gives good description than the number state for the entanglement and the population inversion.