Higher‐Order Nonclassicality in Photon Added and Subtracted Qudit States,Annalen Der Physik

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Higher‐Order Nonclassicality in Photon Added and Subtracted Qudit States
Annalen Der Physik ( IF 2.2 ) Pub Date : 2020-09-06 , DOI: 10.1002/andp.202000286
Kathakali Mandal ₁ , Amit Verma ₁

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Higher‐order nonclassical properties of r photon added and t photon subtracted qudit states (referred to as rPAQS and tPSQS, respectively) are investigated here to answer: How addition and subtraction of photon can be used to engineer higher‐order nonclassical properties of qudit states? To obtain the answer, higher‐order moment of relevant bosonic field operators is first obtained and subsequently used to study the higher‐order nonclassical properties (e.g., higher‐order antibunching, higher‐order squeezing, and higher‐order sub‐Poissonian photon statistics) of the corresponding states. These witnesses establish that rPAQS and tPSQS are highly nonclassical. To quantitatively establish this observation and to make a comparison between rPAQS and tPSQS, volumes of the negative part of Wigner function are computed. Finally, for the sake of verifiability of the obtained results, optical tomograms are also reported. Throughout the study, a particular type of qudit state named as a new generalized binomial state is used as an example.

中文翻译：

光子加减乘态的高阶非经典性

这里研究了r光子添加和t光子减去qudit态的高阶非经典性质（分别称为r PAQS和t PSQS）以回答：如何使用光子的加减法来设计光子的高阶非经典性质。 Qudit状态？为了获得答案，首先要获得相关的玻色子场算子的高阶矩，然后将其用于研究高阶非经典性质（例如，高阶反聚束，高阶压缩和高阶次泊松光子统计））的相应状态。这些证人确定r PAQS和tPSQS非常不经典。为了定量建立该观察结果并在r PAQS和t PSQS之间进行比较，计算了维格纳函数负部分的体积。最后，为了验证所获得结果的准确性，还报告了光学断层图像。在整个研究过程中，以特定类型的Qudit状态（称为新的广义二项式状态）为例。

更新日期：2020-10-11

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