ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Phase estimation of phase shifts in two arms for an SU(1,1) interferometer with coherent and squeezed vacuum states |
Qian-Kun Gong(龚乾坤)1, Dong Li(李栋)1, Chun-Hua Yuan(袁春华)1,4, Ze-Yu Qu(区泽宇)1,3, Wei-Ping Zhang(张卫平)2,4 |
1 Quantum Institute for Light and Atoms, School of Physics and Material Science, East China Normal University, Shanghai 200062, China; 2 Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China; 3 Department of Physics, Indiana University–Purdue University Indianapolis, Indianapolis 46202, USA; 4 Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China |
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Abstract We theoretically study the quantum Fisher information (QFI) of the SU(1,1) interferometer with phase shifts in two arms by coherent ⊗ squeezed vacuum state input, and give the comparison with the result of phase shift only in one arm. Different from the traditional Mach-Zehnder interferometer, the QFI of single-arm case for an SU(1,1) interferometer can be slightly higher or lower than that of two-arm case, which depends on the intensities of the two arms of the interferometer. For coherent ⊗ squeezed vacuum state input with a fixed mean photon number, the optimal sensitivity is achieved with a squeezed vacuum input in one mode and the vacuum input in the other.
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Received: 10 March 2017
Revised: 09 May 2017
Accepted manuscript online:
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PACS:
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42.50.St
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(Nonclassical interferometry, subwavelength lithography)
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42.50.Lc
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(Quantum fluctuations, quantum noise, and quantum jumps)
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07.60.Ly
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(Interferometers)
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42.65.Yj
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(Optical parametric oscillators and amplifiers)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11474095, 11654005, and 11234003) and the National Key Research and Development Program of China (Grant No. 2016YFA0302000). |
Corresponding Authors:
Chun-Hua Yuan
E-mail: chyuan@phy.ecnu.edu.cn
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Cite this article:
Qian-Kun Gong(龚乾坤), Dong Li(李栋), Chun-Hua Yuan(袁春华), Ze-Yu Qu(区泽宇), Wei-Ping Zhang(张卫平) Phase estimation of phase shifts in two arms for an SU(1,1) interferometer with coherent and squeezed vacuum states 2017 Chin. Phys. B 26 094205
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