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Diffraction Structure of Quantum Ghost Images

  • ATOMS, MOLECULES, OPTICS
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Abstract

We consider the effect of diffraction due to the finite width of pump radiation illuminating a nonlinear crystal, in which spontaneous parametric down-conversion (SPDC) occurs, on the spatial resolution of ghost images. We propose the required formal relations and the computational algorithm and perform numerical simulation with account for the influence of this distorting factor on the quality of ghost images.

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REFERENCES

  1. D. N. Klyshko, JETP Lett. 6, 23 (1967).

    ADS  Google Scholar 

  2. S. A. Akhmanov, V. V. Fadeev, R. V. Khokhlov, et al., JETP Lett. 6, 85 (1967).

    ADS  Google Scholar 

  3. S. E. Harris, M. K. Oshman, and R. L. Byer, Phys. Rev. Lett. 18, 732 (1967). https://doi.org/10.1103/physrevlett.18.732

    Article  ADS  Google Scholar 

  4. D. Magde and H. Mahr, Phys. Rev. Lett. 18, 905 (1967). https://doi.org/10.1103/physrevlett.18.905

    Article  ADS  Google Scholar 

  5. D. Magde and H. Mahr, Phys. Rev. 171, 393 (1968). https://doi.org/10.1103/physrev.171.393

    Article  ADS  Google Scholar 

  6. D. N. Klyshko, Photons and Nonlinear Optics (Nauka, Moscow, 1980; CRC, Boca Raton, FL, 1988).

  7. J. S. Bell, Physics 1, 195 (1964). https://doi.org/10.1103/physicsphysiquefizika.1.195

    Article  Google Scholar 

  8. J. F. Clauser, M. A. Horne, A. Shimony, et al., Phys. Rev. Lett. 23, 880 (1969). https://doi.org/10.1103/physrevlett.23.880

    Article  ADS  Google Scholar 

  9. A. Aspect, in Quantum [Un]speakables, Ed. by R. A. Bertlmann and A. Zeilinger (2002), p. 119; arXiv: quant-ph/0402001. https://doi.org/10.1007/978-3-662-05032-3_9

  10. A. V. Belinskii and D. N. Klyshko, Phys. Usp. 36, 653 (1993). https://doi.org/10.1070/PU1993v036n08ABEH002299

    Article  ADS  Google Scholar 

  11. X. Ma, J. Kofler, and A. Zeilinger, Rev. Mod. Phys. 88, 015005 (2016). https://doi.org/10.1103/revmodphys.88.015005

    Article  ADS  Google Scholar 

  12. N. Gisin, Quantum Chance: Nonlocality, Teleportation and Other Quantum Marvels (Springer, Switzerland, 2014).

    Book  Google Scholar 

  13. A. V. Belinsky and A. A. Klevtsov, Phys. Usp. 61, 313 (2018). https://doi.org/10.3367/UFNe.2017.09.038210

    Article  ADS  Google Scholar 

  14. M. Proietti, A. Pickston, F. Graffitti, et al., Sci. Adv. 5, eaaw9832 (2019). https://doi.org/10.1126/sciadv.aaw9832

  15. A. V. Belinsky, Phys. Usp. 63, 1256 (2020). https://doi.org/10.3367/UFNe.2020.05.038767

    Article  ADS  Google Scholar 

  16. D. N. Klyshko and A. N. Penin, Sov. Phys. Usp. 30, 716 (1987).

    Article  ADS  Google Scholar 

  17. A. V. Belinskii and D. N. Klyshko, J. Exp. Theor. Phys. 78, 259 (1994).

    ADS  Google Scholar 

  18. A. Gatti, E. Brambilla, M. Bache, et al., in Quantum Imaging, Ed. by M. I. Kolobov (Springer, New York, 2007), p. 79.

    Google Scholar 

  19. M. G. Basset, F. Setzpfandt, F. Steinlechner, et al., Laser Photon. Rev. 13, 1970042 (2019). https://doi.org/10.1002/lpor.201970042

    Article  Google Scholar 

  20. J. H. Shapiro and R. W. Boyd, Quant. Inf. Process. 11, 949 (2012). https://doi.org/10.1007/s11128-011-0356-5

    Article  Google Scholar 

  21. B. I. Erkman and J. H. Shapiro, Adv. Opt. Photon. 2, 405 (2010). https://doi.org/10.1364/aop.2.000405

    Article  Google Scholar 

  22. D. Duan, Sh. Du, and Yu. Xia, Phys. Rev. A 88, 053842 (2013). https://doi.org/10.1103/physreva.88.053842

    Article  ADS  Google Scholar 

  23. D.-J. Zhang, H.-G. Li, Q.-L. Zhao, et al., Phys. Rev. A 92, 013823 (2015). https://doi.org/10.1103/physreva.92.013823

    Article  ADS  Google Scholar 

  24. A. S. Chirkin, P. P. Gostev, D. P. Agapov, et al., Laser Phys. Lett. 15, 115404 (2018). https://doi.org/10.1088/1612-202x/aae4a6

    Article  ADS  Google Scholar 

  25. A. S. Chirkin, JETP Lett. 102, 404 (2015). https://doi.org/10.1134/S0021364015180046

    Article  ADS  Google Scholar 

  26. A. V. Belinsky, Moscow Univ. Phys. Bull. 73, 447 (2018). https://doi.org/10.3103/S0027134918050053

    Article  ADS  Google Scholar 

  27. P.-A. Moreau, P. A. Morris, E. Toninelli, et al., Sci. Rep. 8, 13183 (2018). https://doi.org/10.1038/s41598-018-31429-y

    Article  ADS  Google Scholar 

  28. P.-A. Moreau, E. Toninelli, P. A. Morris, et al., Opt. Express 26, 7528 (2018). https://doi.org/10.1364/oe.26.007528

    Article  ADS  Google Scholar 

  29. A. S. Chirkin and E. V. Makeev, J. Opt. B: Quant. Semiclass. Opt. 7, S500 (2005). https://doi.org/10.1088/1464-4266/7/12/010

    Article  ADS  Google Scholar 

  30. B. Huttner, S. Serulnik, and Y. Ben-Aryeh, Phys. Rev. A 42, 5594 (1990). https://doi.org/10.1103/physreva.42.5594

    Article  ADS  Google Scholar 

  31. M. Toren and Y. Ben-Aryeh, Quant. Opt.: J. Eur. Opt. Soc., Part B 6, 425 (1994). https://doi.org/10.1088/0954-8998/6/5/006

    Article  Google Scholar 

  32. S. A. Akhmanov, A. V. Belinskii, and A. S. Chirkin, Sov. J. Quant. Electron. 15, 873 (1988).

    Google Scholar 

  33. M. I. Kolobov and I. V. Sokolov, Sov. Phys. JETP 69, 1097 (1989).

    Google Scholar 

  34. A. V. Belinskii and A. S. Chirkin, Sov. Tech. Phys. 34, 490 (1989).

    Google Scholar 

  35. A. V. Belinskii and A. S. Chirkin, Vestn. Mosk. Univ., Ser. Fiz., Astron. 30, 38 (1989).

    Google Scholar 

  36. A. V. Belinskiĭ and A. S. Chirkin, Sov. J. Quant. Electron. 19, 1638 (1989).

    Article  ADS  Google Scholar 

  37. A. N. Matveev, Optics (Vyssh. Shkola, Moscow, 1985; Mir, Moscow, 1988).

  38. Y.-H. Kim and Y. Shih, Found. Phys. 29, 1849 (1999). https://doi.org/10.1023/a:1018890316979

    Article  Google Scholar 

  39. D. A. Balakin and A. V. Belinsky, Moscow Univ. Phys. Bull. 75, 295 (2020).

    Article  ADS  Google Scholar 

  40. D. A. Balakin and A. V. Belinsky, Quant. Inf. Process. 19, 316 (2020). https://doi.org/10.1007/s11128-020-02820-4

    Article  ADS  Google Scholar 

  41. A. V. Belinsky and R. Singh, J. Exp. Theor. Phys. 132, 212 (2021).

    Article  ADS  Google Scholar 

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Correspondence to D. A. Balakin or A. V. Belinsky.

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Translated by N. Wadhwa

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Balakin, D.A., Belinsky, A.V. Diffraction Structure of Quantum Ghost Images. J. Exp. Theor. Phys. 133, 26–31 (2021). https://doi.org/10.1134/S1063776121060091

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