中国物理B ›› 2020, Vol. 29 ›› Issue (3): 34203-034203.doi: 10.1088/1674-1056/ab6837

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

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

Li-Li Hou(侯丽丽), Shuai Wang(王帅), Xue-Fen Xu(许雪芬)   

  1. 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
  • 收稿日期:2019-09-11 修回日期:2019-11-30 出版日期:2020-03-05 发布日期:2020-03-05
  • 通讯作者: Shuai Wang, Xue-Fen Xu E-mail:wshslxy@jsut.edu.cn;xuxf@wxit.edu.cn
  • 基金资助:
    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.

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. 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
  • Received:2019-09-11 Revised:2019-11-30 Online:2020-03-05 Published:2020-03-05
  • Contact: Shuai Wang, Xue-Fen Xu E-mail:wshslxy@jsut.edu.cn;xuxf@wxit.edu.cn
  • Supported by:
    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.

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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 Cramér-Rao bound can be approached with the parity detection.

关键词: quantum optics, phase sensitivity, quantum metrology

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.

Key words: quantum optics, phase sensitivity, quantum metrology

中图分类号:  (Quantum state engineering and measurements)

  • 42.50.Dv
03.65.Ta (Foundations of quantum mechanics; measurement theory)