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理论物理通讯：英文版

Normalized Excited Squeezed Vacuum State and Its Applications

Meng, Xiangguo, Wang, Ji-Suo, Liang Liang, Bao-Long

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

由为激动的挤压的真空状态(ESVS ) 的正规化在量光学和产生功能使用中间的并列动量的表示，规范的 ESVS 被获得。我们发现它经由二个新方法获得的正规化常数是制服和与张和扇子获得的结果不同的一种新形式[Phys。Lett。一 165 (1992 ) 14 ] 。由 ESVS 和中间的并列动量的表示的正规化常数的优点，规范的 ESVS 和一些有用公式的断层照片被导出。

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由为激动的挤压的真空状态(ESVS ) 的正规化在量光学和产生功能使用中间的并列动量的表示，规范的 ESVS 被获得。我们发现它经由二个新方法获得的正规化常数是制服和与张和扇子获得的结果不同的一种新形式[Phys。Lett。一 165 (1992 ) 14 ] 。由 ESVS 和中间的并列动量的表示的正规化常数的优点，规范的 ESVS 和一些有用公式的断层照片被导出。
在这篇论文，二模式的激动的挤压的真空状态(TESVS ) 被使用统计方法学习。由计算 TESVS 的正规化， Jacobi 多项式和一些新身份的一种新形式被获得。TESVS 的光子数字分发被给，它是 Jacobi 多项式的一种简单形式。用 Wigner 操作员的纠缠的州的表示， TESVS 的 Wigner 功能是 obtainded 和有参数 m， n，和 r 的 Wigner 功能的变化被讨论。这里，从阶段空间观点， TESVS 能很好被解释并且描述。
By using the intermediate coordinate-momentum representation in quantum optics and generating function for the normalization of the excited squeezed vacuum state (ESVS), the normalized ESVS is obtained. We find that its normalization constants obtained via two new methods are uniform and a new form which is different from the result obtained by Zhang and Fan [Phys. Lett. A 165 (1992) 14]. By virtue of the normalization constant of the ESVS and the intermediate coordinate-momentum representation, the tomogram of the normalized ESVS and some useful formulae are derived.
We propose a method to generate the multi-mode entangled catalysis squeezed vacuum states (MECSVS) by embedding the cross-Kerr nonlinear medium into the Mach—Zehnder interferometer. This method realizes the exchange of quantum states between different modes based on Fredkin gate. In addition, we study the MECSVS as the probe state of multi-arm optical interferometer to realize multi-phase simultaneous estimation. The results show that the quantum Cramer—Rao bound (QCRB) of phase estimation can be improved by increasing the number of catalytic photons or decreasing the transmissivity of the optical beam splitter using for photon catalysis. In addition, we also show that even if there is photon loss, the QCRB of our photon catalysis scheme is lower than that of the ideal entangled squeezed vacuum states (ESVS), which shows that by performing the photon catalytic operation is more robust against photon loss than that without the catalytic operation. The results here can find applications in quantum metrology for multiparatmeter estimation.