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Chin. Phys. B, 2020, Vol. 29(3): 034203    DOI: 10.1088/1674-1056/ab6837

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

Li-Li Hou(侯丽丽)1, Shuai Wang(王帅)1, Xue-Fen Xu(许雪芬)2
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
Abstract  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 Cramér-Rao bound can be approached with the parity detection.
Keywords:  quantum optics      phase sensitivity      quantum metrology  
Received:  11 September 2019      Revised:  30 November 2019      Accepted manuscript online: 
PACS:  42.50.Dv (Quantum state engineering and measurements)  
  03.65.Ta (Foundations of quantum mechanics; measurement theory)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11404040) and Qing Lan Project of the Higher Educations of Jiangsu Province of China.
Corresponding Authors:  Shuai Wang, Xue-Fen Xu     E-mail:;

Cite this article: 

Li-Li Hou(侯丽丽), Shuai Wang(王帅), Xue-Fen Xu(许雪芬) Optical enhanced interferometry with two-mode squeezed twin-Fock states and parity detection 2020 Chin. Phys. B 29 034203

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