论文标题
两个V型原子与偶极 - 偶极相互作用的纠缠动力学在耗散腔中
Entanglement Dynamics of Two V-type Atoms with Dipole-Dipole Interaction in Dissipative Cavity
论文作者
论文摘要
在这项工作中,我们研究了两个V型原子与偶极 - 偶极相互作用的耦合系统,在耗散性的单模腔中,该系统将其与外部环境结合在一起。根据FANO定理,我们通过引入一组新的创建和an灭操作员,通过求解时间依赖的Schrodinger方程来获得该模型的分析解决方案。我们还详细讨论了腔体环境耦合,自发产生的干扰(SGI)参数和两个原子之间的偶极 - 偶极相互作用对不同初始状态下的纠缠动力学的影响。结果表明,SGI参数对不同初始状态下的纠缠动态有不同的影响。也就是说,SGI参数将增加最初最大纠缠状态的衰减率,并降低最初部分纠缠状态的衰减率。对于最初的乘积状态,较大的SGI参数对应于生成的更纠缠。纠缠在弱的腔体环境耦合下单调减少,而在强腔 - 环境耦合下将发生纠缠的振荡。偶极 - 偶极相互作用越大,纠缠衰减越慢,产生纠缠越多。因此,偶极 - 偶极相互作用不仅可以非常有效地保护和产生纠缠,还可以增强SGI参数对纠缠的调节效应。
In this work, we study a coupled system of two V-type atoms with dipole-dipole interaction in a dissipative single-mode cavity, which couples with an external environment. We obtain the analytical solution of this model by solving the time dependent Schrodinger equation after we diagonalize Hamiltonian of dissipative cavity by introducing a set of new creation and annihilation operators according to Fano theorem. We also detailedly discuss the influences of cavity-environment coupling, spontaneously generated interference (SGI) parameter and dipole-dipole interaction between two atoms on entanglement dynamics under different initial states. The results show that the SGI parameter has different effects on entanglement dynamics under different initial states. Namely, the SGI parameter will increase the decay rate of the initially maximal entangled state and reduce that of the initially partial entangled state. For the initially product state, the larger SGI parameter corresponds to the more entanglement generated. The entanglement monotonically decreases under the weak cavity-environment coupling, while the oscillation of entanglement will occur under the strong cavity-environment coupling. The larger the dipole-dipole interaction is, the slower the entanglement decays and the more the entanglement will be generated. So the dipole-dipole interaction can not only protect and generate entanglement very effectively, but also enhance the regulation effect of the SGI parameter on entanglement.