Optik ( IF 3.1 ) Pub Date : 2020-11-24 , DOI: 10.1016/j.ijleo.2020.165999 Mohammad Javad Faghihi
In this paper, we introduce the -deformed photon-added-then-subtracted and displaced number states by applying both nonlinear coherent states and group theoretical approaches. In other words, we find the -deformed formalism of photon addition/subtraction to/from a quantum state of light by considering the nonlinear coherent states associated with nonlinear oscillator algebra. In addition, we establish a connection between displaced Fock states and a particular class of Gilmore–Perelomov-type of and a class of coherent states. It is shown that various types of nonclassical states can be obtained by selecting properly the controlling parameters in both linear and nonlinear regimes. Furthermore, the nonclassicality features of the quantum states of interest are evaluated by means of photon statistics, quadrature squeezing, and the Wigner–Weyl quasi-probability distribution function. Indeed, the nonclassicality of the states is numerically examined to understand the effects of deformation functions, photons added and subtracted, and photon number occupied in the Fock state on physical properties. It is deduced that the depth as well as the domain of the nonclassicality features can appropriately be controlled by adopting the suitable parameters.
中文翻译:
的非经典性 -变形光子-添加-然后减去 和 流离失所者州
在本文中,我们介绍了 -变形光子-添加-然后减去 和 通过应用非线性相干态和群理论方法来置换数态。换句话说,我们发现通过考虑与非线性振荡器代数相关的非线性相干态,对光的量子态进行光子加/减的变形形式。此外,我们在流离失所的福克州与吉尔莫尔-佩罗莫夫类型的特定类别之间建立了联系 和一类 相干态。结果表明,不同类型的非经典的状态可以通过在这两个线性和非线性制度选择适当的控制参数来获得。此外,通过光子统计,正交压缩和Wigner-Weyl准概率分布函数来评估感兴趣的量子态的非经典性。确实,对状态的非经典性进行了数值检验,以了解变形函数,添加和减去的光子以及在Fock状态下占据的光子数对物理特性的影响。推论出,通过采用适当的参数,可以适当地控制非经典特征的深度和范围。