In this paper, we study the possible realization of a classical system with quantum characteristics on the level of classical optics. Indeed, following Arrizon et al. [J. Opt. Soc. Am. A 32, 1140 (2015) [CrossRef] ], we first use quantum optics formalism to consider the propagation of two coherent states in a Kerr medium where the interaction between the two states is described by the cross-Kerr interaction. We then draw an analogy between the dynamical process of this structure and that of a Gaussian wave propagating in a quadratic gradient index medium. We demonstrate that by using this structure, we can generate a state that oscillates between a classically entangled state and a separable one.

中文翻译：

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在经典纠缠态与可分离态之间振荡：经典光学与量子光学之间的类比

在本文中，我们研究了在经典光学层面上具有量子特性的经典系统的可能实现。确实，遵循Arrizon等人。[J. 选择。Soc。上午。甲32，1140（2015）[交叉引用] ]，我们首先使用量子光学形式主义考虑两个相干态的传播在两个状态之间的相互作用是由横克尔交互来描述一个克尔平台。然后，我们将这种结构的动力学过程与在二次梯度折射率介质中传播的高斯波的动力学过程进行类比。我们证明了通过使用这种结构，我们可以生成一个在经典纠缠状态和可分离状态之间振荡的状态。