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arXiv 2006.00869quant-ph
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广义减光子压缩真空态

Generalized photon-subtracted squeezed vacuum states

Sanjib Dey, Sarika S. Nair

备注：
11 pages, 5 figures, Typos corrected, Few references added
发表信息：
Journal of Physics A: Math. Theor. 53 (2020) 385305
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摘要：

我们构造了一个广义的减光子压缩真空态（PSSVS），它可以用来构造非线性的、变形的以及任何通常的谐振子以外的量子力学模型.我们将我们的一般框架应用于三角Pöschl-Teller势，并表明我们的方法准确地工作，并产生适当的非经典状态。我们用三种不同的方法，即正交压缩，光子数压缩和Wigner函数分析了状态的非经典性，并指出如何将这三种技术的标准定义推广并用于研究包括PSSVS在内的任何广义量子光学态的非经典性。我们观察到广义PSSVS总是比谐振子产生的PSSVS更非经典。此外，在一些量化方案中，我们发现PSSVS的非经典性几乎与从广义压缩真空态中减去的光子数成比例地增加。因此，广义PSSVS可以提供额外的自由度，可以调节非经典性，并根据需要获得适当的非经典状态。

英文摘要：

We construct a generalized version of the photon-subtracted squeezed vacuum states (PSSVS), which can be utilized to construct the same for nonlinear, deformed and any usual quantum mechanical models beyond the harmonic oscillator. We apply our general framework to trigonometric Pöschl-Teller potential and show that our method works accurately and produces a proper nonclassical state. We analyze the nonclassicality of the state using three different approaches, namely, quadrature squeezing, photon number squeezing and Wigner function and indicate how the standard definitions of those three techniques can be generalized and utilized to examine the nonclassicality of any generalized quantum optical states including the PSSVS. We observe that the generalized PSSVS are always more nonclassical than those arising from the harmonic oscillator. Moreover, within some quantification schemes, we find that the nonclassicality of the PSSVS increases almost proportionally with the number of photons subtracted from the generalized squeezed vacuum state. Thus, generalized PSSVS may provide an additional freedom with which one can regulate the nonclassicality and obtain an appropriate nonclassical state as per requirement.

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