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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 |
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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.
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Received: 11 September 2019
Revised: 30 November 2019
Accepted manuscript online:
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PACS:
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42.50.Dv
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(Quantum state engineering and measurements)
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03.65.Ta
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(Foundations of quantum mechanics; measurement theory)
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| 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: wshslxy@jsut.edu.cn;xuxf@wxit.edu.cn
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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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