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Classical and quantum description of a periodically driven multi-photon anharmonic oscillator

机译：周期性驱动的多光子非谐振荡器的经典和量子描述

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摘要

The Hamiltonian and hence the relevant equations of motion involving the dynamics of a driven classical anharmonic oscillator of 2m-th anaharmonicity are constructed.In order to derive the model of a driven multi-photon quantum anharmonic oscillator, we neglect the non-conserving energy terms. Assuming the periodical nature of the driven/forcing term, the dynamical nature of the field operators are expressed in terms of the coupling constant, excitation/photon number and the driven parameters.The solutions are found useful for investigating the squeezing effects and the antibunching of photons of the radiation field prepared in the initial thermal/Fock states. The squeezing effects of the radiation field is found impossible. However, a clear signature of the antibunching of photons is exhibited.It corroborates the fact that the presence of one nonclassical phenomenon does not warrant the presence of the second one. The solutions presented here are exact analytical in nature. Nevertheless, a detailed investigation on the driven quantum anharmonic oscillator is not done before. The present investigation will be of fundamental importance.
机译：构造了哈密顿量以及涉及运动的2m非惯性经典非谐振荡器的动力学方程。为了推导多光子驱动非光子量子谐振子的模型，我们忽略了非守恒能量项。假设驱动/强迫项具有周期性，则用耦合常数，激发/光子数和驱动参数来表示场算子的动力学性质，这些解决方案对于研究挤压效应和反聚束是有用的。在初始热/福克状态下制备的辐射场的光子。发现辐射场的压缩效应是不可能的。但是，显示出了光子反聚束的清晰特征，证实了以下事实：一种非经典现象的存在并不能保证第二种现象的存在。这里介绍的解决方案本质上是精确的分析。然而，以前没有对驱动的量子非谐振荡器进行详细研究。目前的调查将具有根本的重要性。

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