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Phase Conjugation and Mode Conversion in Stimulated Parametric Down-Conversion with Orbital Angular Momentum: a Geometrical Interpretation

  • Condensed Matter
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Abstract

We report on an experiment that investigates the spatial mode conversion in the process of parametric down-conversion seeded by a light beam in a superposition of orbital angular momentum modes. This process is interpreted in terms of a geometric representation of first-order spatial modes in a Poincaré sphere, providing an intuitive image of the phase conjugation and the topological charge conservation. We also make a comparison with the analogous phenomenon for optical parametric oscillators.

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References

  1. A. Zeilinger, Rev. Mod. Phys. 71, S288 (1999)

    Article  Google Scholar 

  2. S.P. Walborn, C.H. Monken, S. Pádua, P.H. Souto Ribeiro, Phys. Rep. 495, 87 (2010)

    Article  ADS  Google Scholar 

  3. J.-W. Pan, Z.-B. Chen, C.-Y. Lu, H. Weinfurter, A. Zeilinger, M. Zukowski, Rev. Mod. Phys. 84, S288 (2012)

    Article  Google Scholar 

  4. P. Walther, K.J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, A. Zeilinger, Nature. 434, 169 (2005)

    Article  ADS  Google Scholar 

  5. B.E.A. Saleh, M.C. Teich. Fundamentals of Photonics (Wiley, New York, 1991)

    Book  Google Scholar 

  6. W. Zou, L. Wang, L. Mandel, Opt. Comm. 84, 351 (1991)

    Article  ADS  Google Scholar 

  7. P.G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A.V. Sergienko, Y. Shih, Phys. Rev. Lett. 75, 4337 (1995)

    Article  ADS  Google Scholar 

  8. P.G. Kwiat, E. Waks, A.G. White, I. Appelbaum, P.H. Eberhard, Phys. Rev. A. 60, R773 (1999)

    Article  ADS  Google Scholar 

  9. A. Heidmann, R.J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, G. Camy, Phys. Rev. Lett. 59, 2555 (1987)

    Article  ADS  Google Scholar 

  10. A. Villar, L. Cruz, K. Cassemiro, M. Martinelli, P. Nussenzveig, Phys. Rev. Lett. 95, 243603 (2005)

    Article  ADS  Google Scholar 

  11. F. Barbosa, A. Coelho, L. Muñoz-Martínez, L. Ortiz-Gutiérrez, A. Villar, P. Nussenzveig, M. Martinelli, Phys. Rev. Lett. 121, 073601 (2018)

    Article  ADS  Google Scholar 

  12. H.J. Kimble, Nature. 453, 1023 (2008)

    Article  ADS  Google Scholar 

  13. L.J. Wang, X.Y. Zou, L. Mandel, J.O.S.A. B. 5, 978 (1991)

    Article  Google Scholar 

  14. P.H. Souto Ribeiro, S. Padua, C.H. Monken, Phys. Rev. A. 60, 5074 (1999)

    Article  ADS  Google Scholar 

  15. V. Parigi, A. Zavatta, M.S. Kim, M. Bellini, Science. 317, 1890 (2007)

    Article  ADS  Google Scholar 

  16. D.P. Caetano, M.P. Almeida, P.H. Souto Ribeiro, J.A.O. Huguenin, B. Coutinho dos Santos, A.Z. Khoury, Phys. Rev. A. 66(R), 041801 (2002)

    Article  ADS  Google Scholar 

  17. D.P. Caetano, M.P. Almeida, P.H. Souto Ribeiro, J.A.O. Huguenin, B. Coutinho dos Santos, A.Z. Khoury, Phys. Rev. Lett. 87, 133602 (2001)

    Article  ADS  Google Scholar 

  18. M.J. Padget, J. Courtial, Opt. Lett. 24, 430 (1999)

    Article  ADS  Google Scholar 

  19. B. Coutinho dos Santos, C.E.R. Souza, K. Dechoum, A.Z. Khoury, Phys. Rev. A. 76, 053821 (2007)

    Article  ADS  Google Scholar 

  20. R.B. Rodrigues, J. Gonzales, B. Pinheiro da Silva, J.A.O. Huguenin, M. Martinelli, R. Medeiros de Araújo, C.E.R. Souza, A.Z. Khoury, Opt. Lett. 43, 2486 (2018)

    Article  ADS  Google Scholar 

  21. P. Vaity, J. Banerji, R.P. Singh, Phys. Lett. A. 377, 1154 (2013)

    Article  ADS  Google Scholar 

  22. A. Mair, A. Vaziri, G. Weihs, A. Zeilinger, Nature. 412, 313 (2001)

    Article  ADS  Google Scholar 

  23. S.P. Walborn, A.N. de Oliveira, R.S. Thebaldi, C.H. Monken, Phys. Rev. A. 69, 023811 (2004)

    Article  ADS  Google Scholar 

  24. S. Walborn, S. Pádua, C. Monken, Phys. Rev. A. 71, 053812 (2005)

    Article  ADS  Google Scholar 

  25. S. Straupe, D. Ivanov, A. Kalinkin, I. Bobrov, S. Kulik, Phys. Rev. A. 83, 060302 (2011)

    Article  ADS  Google Scholar 

  26. M.F.Z. Arruda, W.C. Soares, S.P. Walborn, D.S. Tasca, A. Kanaan, R. Medeiros de Araújo, P.H. Souto Ribeiro, Phys. Rev. A. 98, 023850 (2018)

    Article  ADS  Google Scholar 

  27. B.P. da Silva, D.S. Tasca, E.F. Galvão, A.Z. Khoury, arXiv:1811.02939 [quantum-ph] (2018)

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Funding

This study received financial support from the Brazilian funding agencies Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES), Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro (FAPERJ), Fundação de Amparo à Pesquisa do Estado de Alagoas (FAPEAL), Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) and Instituto Nacional de Ciência e Tecnologia de Informação Quântica (INCTIQ).

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Authors and Affiliations

  1. Departamento de Física, Universidade Federal de Santa Catarina, Florianópolis, SC, 88040-900, Brazil

    A. G. de Oliveira, M. F. Z. Arruda, W. C. Soares, A. Kanaan, P. H. Souto Ribeiro & R. Medeiros de Araújo

  2. Instituto Federal do Mato Grosso, Sorriso, MT, 78890-000, Brazil

    M. F. Z. Arruda

  3. Núcleo de Ciências Exatas - NCEX, Universidade Federal de Alagoas, Arapiraca, AL, 57309-005, Brazil

    W. C. Soares

  4. Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, Rio de Janeiro, RJ, 21945-970, Brazil

    S. P. Walborn

  5. Instituto de Física, Universidade Federal Fluminense, Niterói, RJ, 24210-346, Brazil

    A. Z. Khoury

Authors
  1. A. G. de Oliveira
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  2. M. F. Z. Arruda
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  3. W. C. Soares
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  4. S. P. Walborn
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  5. A. Z. Khoury
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  6. A. Kanaan
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  7. P. H. Souto Ribeiro
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  8. R. Medeiros de Araújo
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Corresponding author

Correspondence to R. Medeiros de Araújo.

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de Oliveira, A.G., Arruda, M.F.Z., Soares, W.C. et al. Phase Conjugation and Mode Conversion in Stimulated Parametric Down-Conversion with Orbital Angular Momentum: a Geometrical Interpretation. Braz J Phys 49, 10–16 (2019). https://doi.org/10.1007/s13538-018-0614-4

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  • DOI: https://doi.org/10.1007/s13538-018-0614-4

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