Since the introduction of binomial state as an intermediate state, different intermediate states have been proposed. Different nonclassical effects have also been reported in these intermediate states. But till now higher order antibunching or higher order subpoissonian photon statistics is predicted only in one type of intermediate state, namely shadowed negative binomial state. Recently we have shown the existence of higher order antibunching in some simple nonlinear optical processes to establish that higher order antibunching is not a rare phenomenon (J. Phys. B 39 (2006) 1137). To establish our earlier claim further, here we have shown that the higher order antibunching can be seen in different intermediate states, such as binomial state, reciprocal binomial state, hypergeometric state, generalized binomial state, negative binomial state and photon added coherent state. We have studied the possibility of observing the higher order subpoissonian photon statistics in different limits of intermediate states. The effect of different control parameters have also been studied in this connection and it has been shown that the depth of nonclassicality can be tuned by controlling various physical parameters.
Dynamic Sculpting of Photon Statistics in a Raman-Coupled Cavity QED System
Center for Quantum-Enabled Computing, Center for Theoretical Physics, Polish Academy of Sciences（波兰科学院理论与量子计算中心）；Department of Physics, Sahand University of Technology（萨汗理工大学物理系）；Department of Physics, Payame Noor University（帕亚梅诺尔大学物理系）
Lower- and higher-order nonclassicality in a Bose-condensed optomechanical-like system and a Fabry-Perot cavity with one movable mirror: squeezing, antibunching and entanglement
Generalized structure of higher order nonclassicality
引入了高阶非经典性的广义概念（用高阶矩表示）。在此广义高阶非经典性框架下，导出了高阶压缩和高阶亚泊松光子统计的条件。在此框架下，利用我们在[J. Phys. A. 33（2000）5607]。它也推广到多光子玻色算子的Brandt和Greenberg。类似地，利用数的高次幂算符的正规序导出了高阶次泊松光子统计的条件。进一步，借助于简单的密度矩阵，证明了高阶反聚束（HOA）和高阶次泊松光子统计（HOSPS）不是同一现象的表现，因而用高阶反聚束条件作为HOSPS的检验是不正确的.它还表明，HOA和HOSPS可能存在，即使在相应的低阶现象的情况下。以二项式态、非线性一阶激发压缩态（NLESS）和非线性真空压缩态（NLVSS）作为量子态的例子，指出这些态可能具有高阶非经典特性。观察到总是反聚束的二项式态并不总是高阶压缩的，而表现出高阶压缩的NLVSS态并不表现出HOSPS和HOA。在NLESS中观察到相反的情况，因此确定HOSPS和HOS是两个独立的高阶非经典签名
Higher Order Squeezing and Higher Order Subpoissonian Photon Statistics in Intermediate States
最近，我们提出了Hong-Mandel高阶压缩和高阶亚泊松光子统计的更简单的判据[Phys.Lett. A 374（2010）1009]。本文利用这些简化的判据研究了在不同的中间态，如广义二项式态、超几何态、负二项式态和加光子相干态中观测HOSPS和HOS的可能性。结果表明，这些态可以满足HOS和HOSPS条件。它还表明，非经典的深度和区域可以通过控制各种参数有关的中间状态。此外，我们还分析了高阶非经典性的不同签名之间的相互关系，参考这些中间状态。我们观察到，在不存在HOS的情况下，广义二项式态可以显示出HOSPS的特征。前面我们已经证明了NLVSS在没有HOSPS的情况下显示了HOS。从而证明了同阶的HOSPS和HOS是相互独立的现象。
