Optical enhanced interferometry with two-mode squeezed twin-Fock states and parity detection  

作　　者：Li-Li Hou Shuai Wang Xue-Fen Xu 侯丽丽;王帅;许雪芬(School of Mathematics and Physics,Jiangsu University of Technology,Changzhou 213001,China;Department of Fundamental Courses,Wuxi Institute of Technology,Wuxi 214121,China)

机构地区：[1]School of Mathematics and Physics,Jiangsu University of Technology,Changzhou 213001,China [2]Department of Fundamental Courses,Wuxi Institute of Technology,Wuxi 214121,China

出　　处：《Chinese Physics B》2020年第3期202-208,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.11404040);Qing Lan Project of the Higher Educations of Jiangsu Province of China。

摘　　要：We theoretically investigate the quantum enhanced metrology using two-mode squeezed twin-Fock states and parity detection. Our results indicate that, for a given initial squeezing parameter, compared with the two-mode squeezed vacuum state, both phase sensitivity and resolution can be enhanced when the two-mode squeezed twin-Fock state is considered as an input state of a Mach–Zehnder interferometer. Within a constraint on the total photon number, although the two-mode squeezed vacuum state gives the better phase sensitivity when the phase shift φ to be estimated approaches to zero, the phase sensitivity offered by these non-Gaussian entangled Gaussian states is relatively stable with respect to the phase shift itself. When the phase shift slightly deviates from φ= 0, the phase sensitivity can be still enhanced by the two-mode squeezed twin-Fock state over a broad range of the total mean photon number where the phase uncertainty is still below the quantum standard noise limit. Finally, we numerically prove that the quantum Cramer–Rao bound can be approached with the parity detection.We theoretically investigate the quantum enhanced metrology using two-mode squeezed twin-Fock states and parity detection. Our results indicate that, for a given initial squeezing parameter, compared with the two-mode squeezed vacuum state, both phase sensitivity and resolution can be enhanced when the two-mode squeezed twin-Fock state is considered as an input state of a Mach–Zehnder interferometer. Within a constraint on the total photon number, although the two-mode squeezed vacuum state gives the better phase sensitivity when the phase shift φ to be estimated approaches to zero, the phase sensitivity offered by these non-Gaussian entangled Gaussian states is relatively stable with respect to the phase shift itself. When the phase shift slightly deviates from φ= 0, the phase sensitivity can be still enhanced by the two-mode squeezed twin-Fock state over a broad range of the total mean photon number where the phase uncertainty is still below the quantum standard noise limit. Finally, we numerically prove that the quantum Cramer–Rao bound can be approached with the parity detection.

关 键 词：QUANTUM optics phase sensitivity QUANTUM METROLOGY 

分 类 号：TH744.3[机械工程—光学工程] O436.1[机械工程—仪器科学与技术]