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Quantum correlations and fluctuations in the pulsed light produced by a synchronously pumped optical parametric oscillator below its oscillation threshold

Abstract.

We present a simple quantum theory for the pulsed light generated by a synchronously pumped optical parametric oscillator (SPOPO) in the degenerate case where the signal and idler trains of pulses coincide, below threshold and neglecting all dispersion effects. Our main goal is to precise in the obtained quantum effects, which ones are identical to the c.w. case and which ones are specific to the SPOPO. We demonstrate in particular that the temporal correlations have interesting peculiarities: the quantum fluctuations at different times within the same pulse turn out to be totally not correlated, whereas they are correlated between nearby pulses at times that are placed in the same position relative to the center of the pulses. The number of significantly correlated pulses is of the order of cavity finesse. We show also that there is perfect squeezing at noise frequencies \(\Omega_m\) = 2π m/T R (m = 0, 1, 2,\(\ldots\) where T R is the pulse train period) when one approaches the threshold from below on the signal field quadrature measured by a balanced homodyne detection with a local oscillator of very short duration compared to the SPOPO pulse length.

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References

  1. H.-A. Bachor, T.C. Ralph, A Guide To Experiments In Quantum Optics, 2nd edn. (Wiley-VCH, Berlin, 2003)

  2. R.M. Shelby, M. Rosenbluh, Appl. Phys. B 55, 226 (1992)

    Article  ADS  Google Scholar 

  3. G.J. de Valcárcel, G. Patera, N. Treps, C. Fabre, Phys. Rev. A 74, 061801 (2006)

    Article  ADS  Google Scholar 

  4. N.C. Menicucci, S.T. Flammia, O. Pfister, Phys. Rev. Lett. 101, 130501 (2008)

    Article  ADS  Google Scholar 

  5. Lectures on Quantum Information, edited by D. Bruß, G. Leuchs (Wiley-VCH, Berlin, 2003)

  6. B. Lamine, C. Fabre, N. Treps, Phys. Rev. Lett. 101, 123601 (2008)

    Article  ADS  Google Scholar 

  7. G. Patera, N. Treps, C. Fabre, G.J. de Valcárcel, Eur. Phys. J. D 56, 123 (2010)

    Article  ADS  Google Scholar 

  8. F. Rana, R.J. Ram, H. Haus, IEEE J. Quantum Electron. 40, 41 (2004)

    Article  ADS  Google Scholar 

  9. M.I. Kolobov, Rev. Mod. Phys. 71, 1539 (1999)

    Article  ADS  Google Scholar 

  10. S. Reynaud, C. Fabre, E. Giacobino, J. Opt. Soc. Am. B 4, 1520 (1987)

    Article  ADS  Google Scholar 

  11. R.E. Slusher, L.W. Hollberg, B. Yurke, J.C. Mertz, J.F. Valley, Phys. Rev. Lett. 55, 2409 (1985)

    Article  ADS  Google Scholar 

  12. A.E. Dunlop, E.H. Huntington, C.C. Harb, T.C. Ralph, Phys. Rev. A 73, 013817 (2006)

    Article  ADS  Google Scholar 

  13. R.J. Senior et al., Opt. Express 15, 5310 (2007)

    Article  ADS  Google Scholar 

  14. J.W. Goodman, Statistical Optics (Wiley-Interscience, New York, 1985)

  15. M.F. Becker, D.J. Kuizenga, D.W. Phillion, A.E. Siegman, J. Appl. Phys. 45, 3996 (1974)

    Article  ADS  Google Scholar 

  16. S.A. Akhmanov, V.A. Vysloukh, A.S. Chirkin, Optics of Femtosecond Laser Pulses (AIP, New York, 1992)

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Correspondence to Yu. M. Golubev.

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Averchenko, V., Golubev, Y., Fabre, C. et al. Quantum correlations and fluctuations in the pulsed light produced by a synchronously pumped optical parametric oscillator below its oscillation threshold. Eur. Phys. J. D 61, 207–214 (2011). https://doi.org/10.1140/epjd/e2010-00280-7

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  • DOI: https://doi.org/10.1140/epjd/e2010-00280-7

Keywords

  • Quantum Correlation
  • Pump Pulse
  • Signal Pulse
  • Optical Parametric Oscillator
  • Local Oscillator