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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >New class of generalized photon-added coherent states and some of their non-classical properties
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New class of generalized photon-added coherent states and some of their non-classical properties

机译：一类新的广义光子相干态及其一些非经典性质

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摘要

In this paper, we construct a new class of generalized photon added coherent states (GPACSs), |z, m〉_r by excitations on a newly introduced family of generalized coherent states (GCSs) |z〉_r (A Dehghani and B Mojaveri 2012 J. Phys. A: Math. Theor. 45 095304), obtained via generalized hypergeometric type displacement operators acting on the vacuum state of the simple harmonic oscillator. We show that these states realize resolution of the identity property through positive definite measures on the complex plane. Meanwhile, we demonstrate that the introduced states can also be interpreted as nonlinear coherent states (NLCSs), with a spacial nonlinearity function. Finally, some of their non-classical features as well as their quantum statistical properties are compared with Agarwal's photon-added coherent states (PACSs), z m〉.
机译：在本文中，我们通过对新引入的一族广义相干态（GCS）| z〉 _r的激发，构造了一类新的广义光子相干态（GPACS）| z，m〉 _r（A Dehghani and B Mojaveri 2012 J. Phys。A：Math。Theor。45 095304），是通过作用于简单谐波振荡器真空状态的广义超几何型位移算符获得的。我们表明，这些状态通过复杂平面上的正定度量实现身份属性的解决。同时，我们证明引入的状态还可以解释为具有空间非线性函数的非线性相干态（NLCSs）。最后，将它们的一些非经典特征及其量子统计性质与Agarwal的加有光子的相干态（PACSs）z m〉进行了比较。

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