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Generalized Photon Added and Subtracted f‐Deformed Displaced Fock States
Annalen Der Physik ( IF 2.2 ) Pub Date : 2020-10-04 , DOI: 10.1002/andp.202000215 Mohammad Javad Faghihi 1
Annalen Der Physik ( IF 2.2 ) Pub Date : 2020-10-04 , DOI: 10.1002/andp.202000215 Mohammad Javad Faghihi 1
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In this paper, by making use of the nonlinear coherent states approach, the generalized photon added and subtracted f‐deformed displaced Fock states are introduced. In other words, a natural link between photon added and subtracted displaced Fock states and nonlinear coherent states associated with nonlinear oscillator algebra is obtained. It is found that various kinds of nonclassical states can be generated by adopting appropriately controlling parameters in both linear and nonlinear regimes. Moreover, examining some of the most nonclassical properties such as Mandel's Q parameter, different types of squeezing, namely, quadrature, amplitude–squared and phase entropic squeezing, and Vogel's characteristic function, the nonclassicality features of the considered quantum states of interest are studied. Furthermore, to obtain the degree of quantum coherence, the relative entropy of coherence is investigated. Indeed, the nonclassicality aspects of the states obtained have been numerically studied to understand the roles of deformation functions, photons added and subtracted, and photon number occupied in the Fock state on physical properties. It is demonstrated that the depth and the domain of the nonclassicality features of the system can properly be controlled by selecting the suitable parameters.
中文翻译：
广义光子加减法f形变Fock状态
在本文中，通过使用非线性相干态方法，介绍了广义的光子加和减的f形变Fock态。换句话说，获得了光子相加和相减的位移Fock状态与与非线性振荡器代数相关的非线性相干状态之间的自然联系。发现通过在线性和非线性两种状态下采用适当的控制参数，可以生成各种非经典状态。此外，检查一些最非经典的属性，例如Mandel的Q参数，不同类型的压缩，即正交，振幅平方和相位熵压缩以及Vogel的特征函数，研究了所考虑的感兴趣量子态的非经典特征。此外，为了获得量子相干度，研究了相干的相对熵。实际上，已经对获得的状态的非经典性方面进行了数值研究，以了解变形函数，光子的增加和减少以及在Fock状态下占据的光子数对物理性质的作用。证明了通过选择合适的参数可以适当地控制系统非经典特征的深度和范围。
更新日期：2020-12-12
中文翻译：
广义光子加减法f形变Fock状态
在本文中，通过使用非线性相干态方法，介绍了广义的光子加和减的f形变Fock态。换句话说，获得了光子相加和相减的位移Fock状态与与非线性振荡器代数相关的非线性相干状态之间的自然联系。发现通过在线性和非线性两种状态下采用适当的控制参数，可以生成各种非经典状态。此外，检查一些最非经典的属性，例如Mandel的Q参数，不同类型的压缩，即正交，振幅平方和相位熵压缩以及Vogel的特征函数，研究了所考虑的感兴趣量子态的非经典特征。此外，为了获得量子相干度，研究了相干的相对熵。实际上，已经对获得的状态的非经典性方面进行了数值研究，以了解变形函数，光子的增加和减少以及在Fock状态下占据的光子数对物理性质的作用。证明了通过选择合适的参数可以适当地控制系统非经典特征的深度和范围。
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