Recalling that counter rotating terms (CRTs) in atom–field interaction are not always ignorable, particularly in the strong coupling regimes of atom–field systems, in this paper we are going to study the interaction between two qubits (two-level atoms) with a two-mode field in a high quality cavity by considering CRTs while the dipole–dipole (D–D) interaction is also taken into account. Indeed, by performing an appropriate dynamical Hamiltonian associated with the Jaynes–Cummings and anti-Jaynes–Cummings terms, as well as the D–D interaction for the system, we solve the corresponding time-dependent Schrödinger equation with specific initial conditions for atoms and field. In the continuation, concurrence, as an appropriate measure of the degree of entanglement of the two qubits, and atomic population inversion of the qubits, as the rate of energy exchange between atoms and field, are evaluated. Meanwhile, we investigate the influence of CRTs and D–D interaction (as well as other involved parameters in the model interaction) on the mentioned quantities. Our numerical results indicate that collapse-revival phenomenon can be observed in the absence of D–D interaction with or without rotating wave approximation, however, CRTs cause an increase or decrease in the number of collapse-revivals in a finite interval of time, depending on the chosen parameters. In fact, by entering the D–D interaction term, this phenomenon is destroyed and the time behaviour of the quantities experiences irregular oscillations. Noticing that the initial field is considered in the vacuum state, the occurrence of collapse-revival in the population inversion of the two qubits is an interesting feature of this work. As is shown, the degree of entanglement and atomic population inversion of the qubits can generally be tuned, and the death of entanglement can be prevented, both by adjusting the evolved parameters in the model.

回顾原子场相互作用中的反向旋转项（CRT）并不总是可以忽略的，特别是在原子场系统的强耦合机制中，在本文中，我们将研究两个量子位（两级原子）与通过考虑 CRT 的高质量腔中的双模场，同时还考虑偶极 - 偶极 (D-D) 相互作用。实际上，通过执行与 Jaynes-Cummings 和反Jaynes-Cummings 项以及系统的 D-D 相互作用相关的适当的动力学哈密顿量，我们求解了相应的具有特定原子初始条件的时间相关薛定谔方程，并且场地。在延续，并发，作为两个量子位纠缠程度的适当度量，以及量子位的原子布居反转，作为原子和场之间的能量交换率，被评估。同时，我们研究了 CRT 和 D-D 交互（以及模型交互中的其他相关参数）对上述数量的影响。我们的数值结果表明，在有或没有旋转波近似的情况下，在没有 D-D 相互作用的情况下可以观察到坍塌 - 复活现象，但是，CRT 会导致在有限的时间间隔内坍塌 - 复活的数量增加或减少，具体取决于在所选参数上。事实上，通过进入 D-D 相互作用项，这种现象被破坏了，量的时间行为经历了不规则的振荡。注意到初始场是在真空状态下考虑的，在两个量子比特的种群反转中发生崩溃-复兴是这项工作的一个有趣特征。如图所示，量子比特的纠缠度和原子数反转通常可以通过调整模型中的进化参数来调整，并且可以防止纠缠的死亡。