量子化辐射场中负二项式态的非经典性质和代数特征
Non-classical properties and algebraic characteristics of negative binomial states in quantized radiation fields
摘要：
研究了Barnett最近提出的负二项式态的非经典性质和代数特征。通过推广的Holstein-Primarkoff实现，得到了负二项式态的梯形算符形式和位移算符形式，并证明了所涉及的代数是SU（1，1）李代数.这些态本质上是Peremolov的SU（1，1）相干态。我们揭示了它们与几何态的联系，发现它们是激发几何态。作为中间态，它们介于数态和几何态之间。我们还指出它们可以被看作是非线性相干态。讨论了它们的亚泊松分布和压缩效应等非经典性质。详细研究了相空间中的准概率分布，即Q函数和Wigner函数。我们还提出了两种产生负二项式态的方法。
英文摘要：
We study the nonclassical properties and algebraic characteristics of the negative binomial states introduced by Barnett recently. The ladder operator formalism and displacement operator formalism of the negative binomial states are found and the algebra involved turns out to be the SU(1,1) Lie algebra via the generalized Holstein-Primarkoff realization. These states are essentially Peremolov's SU(1,1) coherent states. We reveal their connection with the geometric states and find that they are excited geometric states. As intermediate states, they interpolate between the number states and geometric states. We also point out that they can be recognized as the nonlinear coherent states. Their nonclassical properties, such as sub-Poissonian distribution and squeezing effect are discussed. The quasiprobability distributions in phase space, namely the Q and Wigner functions, are studied in detail. We also propose two methods of generation of the negative binomial states.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
