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Optical Parametric Amplification of Single Photon: Statistical Properties and Quantum Interference

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Abstract

By using phase space method, we theoretically investigate the quantum statistical properties and quantum interference of optical parametric amplification of single photon. The statistical properties, such as the Wigner function (WF), average photon number, photon number distribution and parity, are derived analytically for the fields of the two output ports. The results indicate that the fields in the output ports are multiphoton states rather than single photon state due to the amplification of the optical parametric amplifiers (OPA). In addition, the phase sensitivity is also examined by using the detection scheme of parity measurement.

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Authors and Affiliations

  1. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang, 330022, China

    Xue-Xiang Xu

  2. College of Optoelectronic Engineering, Changzhou Institute of Technology, Changzhou, 213002, China

    Hong-Chun Yuan

  3. Key Laboratory of Optoelectronic and Telecommunication, Jiangxi Province, 330022, China

    Xue-Xiang Xu

Authors
  1. Xue-Xiang Xu
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  2. Hong-Chun Yuan
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Corresponding author

Correspondence to Xue-Xiang Xu.

Additional information

Project supported by the National Natural Science Foundation of China (No. 11264018), the Research Foundation of the Education Department of Jiangxi Province of China (No. GJJ12171), the Open Foundation of the Key Laboratory of Optoelectronic and Telecommunication of Jiangxi Province (No. 2013004) and the Research Foundation of Changzhou Institute of Technology, China (Grant No. YN1106).

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Xu, XX., Yuan, HC. Optical Parametric Amplification of Single Photon: Statistical Properties and Quantum Interference. Int J Theor Phys 53, 1601–1613 (2014). https://doi.org/10.1007/s10773-013-1958-8

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  • DOI: https://doi.org/10.1007/s10773-013-1958-8

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