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Generation and nonclassicality of entangled states via the interaction of two three-level atoms with a quantized cavity field assisted by a driving external classical field

机译:通过相互作用产生纠缠态的非经典性   两个三能级原子与一个驱动辅助的量子化腔场   外部经典领域

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摘要

The interaction of two identical three-level atoms of the types $V$, $\Xi$and $\Lambda$ with a quantized cavity field as well as a driving externalclassical field is studied. Under two certain unitary transformations, thesystem is converted to a typical form of the Jaynes-Cummings model for twothree-level atoms. The exact analytical solutions of the wave function fordifferent considered atom-field systems are exactly obtained with the help ofthe Laplace transform technique, when the atoms are initially prepared in thetopmost excited state and the quantized field is in a coherent state. In orderto examine the nonclassicality features of the deduced states, the dynamics ofthe entanglement between subsystems is discussed via two well-known measures,namely, von Neumann entropy of the reduced state and negativity. In addition,we pay attention to the temporal behaviour of quantum statistics of the photonsof the field and squeezing phenomenon. Meanwhile, the influence of the externalclassical field on the latter physical quantities is analyzed in detail. Theresults show that the mentioned quantities can be sensitively controlled viathe external classical field. Also, numerical computations imply the fact thatthe nonclassicality features in $\Xi$-type three-level atomic system is morevisible than the other two configurations. In addition, it is shown that in theparticular case of $\Lambda$-type atomic system, the rank of the reduceddensity matrix of the three-level atoms is no larger than three, so thatnegativity fully captures the entanglement of this system and that suchentanglement is distillable.
机译:研究了$ V $,$ \ Xi $和$ \ Lambda $类型的两个相同的三能级原子与量子腔场和外部经典场的相互作用。在两次特定的单位变换下,该系统被转换为三级原子的Jaynes-Cummings模型的典型形式。当最初以最高激发态制备原子并且量子场处于相干态时,借助拉普拉斯变换技术,可以精确地获得针对不同的已考虑原子场系统的波函​​数的精确解析解。为了检验推导态的非经典性,通过两种著名的方法,即还原态的冯·诺依曼熵和负性,讨论了子系统之间的纠缠动力学。此外,我们关注场光子的量子统计的时间行为和压缩现象。同时,详细分析了外部经典场对后者物理量的影响。结果表明,通过外部经典场可以敏感地控制上述数量。而且,数值计算暗示着这样的事实,即$ \ Xi $型三能级原子系统中的非经典性特征比其他两种构型更明显。此外,还表明在$ \ Lambda $型原子系统的特殊情况下,三能级原子的密度矩阵的秩不大于3,因此负性完全捕获了该系统的纠缠,并且这种纠缠是可蒸馏的。

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