T-C模型中纠缠原子与相干态光场相互作用平均光子数的演化

Mean photon number evolution of entangled atoms interacting with coherent state light-filed in T-C model

研究了一对纠缠的二能级原子与单模相干态光场的相互作用,得出平均光子数随时间的演化规律.讨论了相干振幅分量模平方|α|2、原子-场的耦合系数g、原子间的耦合系数ε及纠缠因子cosθ对光场的平均光子数的〈n(t)〉的影响,结果表明:随着相干振幅分量模平方,原子-场的耦合系数,原子间的耦合系数的变化,平均光子数演化曲线的平均值和系统量子崩塌-复苏的周期都会随之变化.但纠缠因子的变化并不影响量子崩塌-复苏的周期,只是使平均光子数随时间演化的值慢慢变化.

We study a couple of entangled two-level atoms interacting with one model coherent state light-filed by means of the quantum theory in interacting picture. The mean photon number evolution of entangled atoms interacting with coherent state light-filed is given. Meanwhile, the influence of the coherent vibration amplitude ｜α｜^2 of the field-atom, the coupling constant g of atom-field, the coupling constant ε of two atoms and the entanglement factor cosθ of two atoms on the mean photon number 〈n（t）〉of light-field are also discussed. We find that mean value of mean photon number evolution and the cycle of system quantum collapse- and-revival will change when the coherent vibration amplitude of the field-atom, the coupling constant of atom-field and the coupling constant of two atoms change. The variation of entanglement factor will not affect on the cycle of system quantum collapse-and-revival, while it could vary the value of mean photon number slowly.