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New Optical Field Generated by Partial Tracing Over Two-Mode Squeezing–Rotating Entangled Vacuum State \(^{{*}}\)

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Abstract

Based on the two-mode squeezing–rotating entangled vacuum state (Fan and Fan in Commun Theor Phys 33:701–704, 2000), we obtained a new quantum state by using partial tracing method. This new state can be considered as a real chaotic field. We also studied its squeezing properties and quantum statistical properties by giving the analytic results and exact numerical results. It was established that the rotation angle’s parameter plays an important role in this new optical field.

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References

  1. M.S. Kim, J. Lee, W.J. Munro, Experimentally realizable characterizations of continuous-variable Gaussian states. Phys. Rev. A 66, 032323 (2002)

    Article  ADS  Google Scholar 

  2. F. Dell’Anno, S. De Siena, F. Illuminati, Multiphoton quantum optics and quantum state engineering. Phys. Rep. 428, 53–168 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  3. M.S. Kim, Recent developments in photon-level operations on travelling light fields. J. Phys. B. 41, 133001 (2008)

    Article  ADS  Google Scholar 

  4. M.J. Aspachs, R. Calsamiglia, R. Munoz-Tapia, E. Bagan, Phase estimation for thermal Gaussian states. Phys. Rev. A 79, 033834 (2009)

    Article  ADS  Google Scholar 

  5. V.V. Dodonov, ‘Nonclassical’ states in quantum optics: a ‘squeezed’ review of the first 75 years. J. Opt. B Quantum Semiclass. Opt. 4, R1–R33 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  6. A. Zavatta, V. Parigi, M. Bellini, Experimental nonclassicality of single-photon-added thermal light states. Phys. Rev. A 75, 052106 (2007)

    Article  ADS  Google Scholar 

  7. V. Parigi, A. Zavatta, M.S. Kim, M. Bellini, Probing quantum commutation rules by addition and subtraction of single photons to/from a light field. Science 317, 1890–1893 (2007)

    Article  ADS  Google Scholar 

  8. T.M. Duc, J. Noh, Higher-order properties of photon-added coherent states. Opt. Commun. 281, 2842–2848 (2008)

    Article  ADS  Google Scholar 

  9. H.Y. Fan, Y. Fan, New representation for squeezing-rotating entangled unitary transformation. Commun. Theor. Phys. 33, 701–704 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  10. F.A. Popp, J.J. Chang, A. Herzog, Z. Yan, Y. Yan, Evidence of non-classical (squeezed) light in biological systems. Phys. Lett. A 293, 98–102 (2002)

    Article  ADS  Google Scholar 

  11. M. Hillery, Amplitude-squared squeezing of the electromagnetic field Phys. Rev. A 36, 3796–3802 (1987)

    Article  Google Scholar 

  12. L. Mandel, Sub-Poissonian photon statistics in resonance fluorescence. Opt. Lett. 4, 205–207 (1979)

    Article  ADS  Google Scholar 

  13. L.Y. Hu, H.Y. Fan, Wavelet transform in the context of quantum mechanics and new orthogonal property of mother wavelets in parameter space. J. Mod. Opt. 55, 1835–1844 (2008)

    Article  ADS  MATH  Google Scholar 

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Authors and Affiliations

  1. School of Electronic Engineering, Huainan Normal University, Huainan, 232001, China

    Gang Ren, Jian-ming Du & Wen-Hai Zhang

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  1. Gang Ren
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  2. Jian-ming Du
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  3. Wen-Hai Zhang
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Correspondence to Gang Ren.

Additional information

Project supported by the Natural Science Foundation of the Anhui Higher Education Institutions of China (Grant No. KJ2015A268 and KJ2016A672).

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Ren, G., Du, Jm. & Zhang, WH. New Optical Field Generated by Partial Tracing Over Two-Mode Squeezing–Rotating Entangled Vacuum State \(^{{*}}\). J Low Temp Phys 191, 194–205 (2018). https://doi.org/10.1007/s10909-018-1868-5

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  • DOI: https://doi.org/10.1007/s10909-018-1868-5

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