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arXiv 1003.2486quant-ph
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非线性相干态对偶族的叠加及其非经典性质

Superpositions of the dual family of nonlinear coherent states and their non-classical properties

O. Abbasi, M. K. Tavassoly

摘要:

非线性相干态(CS)及其{ \it对偶族}是近年来提出的新概念。在本文中,我们试图得到它们的叠加态,并研究它们的非经典性质,如反聚束效应、正交压缩和振幅平方压缩。为此,考虑两种类型的叠加。在第一种类型中,我们忽略对偶对的两个分量的归一化因子,将它们叠加,然后归一化得到的状态,而在第二种类型中,我们将两个归一化分量叠加,然后再次归一化得到的状态。作为一种物理实现,该形式将被应用于具有已知非线性函数的特殊物理系统,即,类氢光谱。我们继续与(第一种类型的)叠加的双重对Gazeau-Klauder相干态(GKCS)作为时间稳定的CS。应用Pöschl-Teller势系统给出了该建议的一个应用。数值结果的详细介绍和讨论,显示这种特殊的量子干涉的影响。

英文摘要:

Nonlinear coherent states (CSs) and their {\it dual families} were introduced recently. In this paper we want to obtain their superposition and investigate their non-classical properties such as antibunching effect, quadrature squeezing and amplitude squared squeezing. For this purpose two types of superposition are considered. In the first type we neglect the normalization factors of the two components of the dual pair, superpose them and then we normalize the obtained states, while in the second type we superpose the two normalized components and then again normalize the resultant states. As a physical realization, the formalism will then be applied to a special physical system with known nonlinearity function, i.e., Hydrogen-like spectrum. We continue with the (first type of) superposition of the dual pair of Gazeau-Klauder coherent states (GKCSs) as temporally stable CSs. An application of the proposal will be given by employing the Pöschl-Teller potential system. The numerical results are presented and discussed in detail, showing the effects of this special quantum interference.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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