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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 4 — Feb. 14, 2011
  • pp: 3765–3774

Relative intensity squeezing by four-wave mixing with loss: an analytic model and experimental diagnostic

M. Jasperse, L. D. Turner, and R. E. Scholten  »View Author Affiliations

Optics Express, Vol. 19, Issue 4, pp. 3765-3774 (2011)

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Four-wave mixing near resonance in an atomic vapor can produce relative intensity squeezed light suitable for precision measurements beyond the shot-noise limit. We develop an analytic distributed gain/loss model to describe the competition of mixing and absorption through the non-linear medium. Using a novel matrix calculus, we present closed-form expressions for the degree of relative intensity squeezing produced by this system. We use these theoretical results to analyze experimentally measured squeezing from a 85Rb vapor and demonstrate the analytic model’s utility as an experimental diagnostic.

© 2011 Optical Society of America

OCIS Codes
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(270.6570) Quantum optics : Squeezed states

ToC Category:
Nonlinear Optics

Original Manuscript: December 14, 2010
Revised Manuscript: January 24, 2011
Manuscript Accepted: January 24, 2011
Published: February 11, 2011

M. Jasperse, L. D. Turner, and R. E. Scholten, "Relative intensity squeezing by four-wave mixing with loss: an analytic model and experimental diagnostic," Opt. Express 19, 3765-3774 (2011)

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  1. C. F. McCormick, V. Boyer, E. Arimondo, and P. D. Lett, "Strong relative intensity squeezing by four-wave mixing in rubidium vapor," Opt. Lett. 32, 178-180 (2007). [CrossRef]
  2. Q. Glorieux, L. Guidoni, S. Guibal, J.-P. Likforman, and T. Coudreau, "Strong quantum correlations in four wave mixing in 85Rb vapor," (SPIE, 2010), vol. 7727 of Proc. SPIE, p. 772703.
  3. C. F. McCormick, A. M. Marino, V. Boyer, and P. D. Lett, "Strong low-frequency quantum correlations from a four-wave-mixing amplifier," Phys. Rev. A 78, 043816 (2008). [CrossRef]
  4. V. Boyer, A. M. Marino, and P. D. Lett, "Generation of spatially broadband twin beams for quantum imaging," Phys. Rev. Lett. 100, 143601 (2008). [CrossRef] [PubMed]
  5. V. Boyer, A. M. Marino, R. C. Pooser, and P. D. Lett, "Entangled images from four-wave mixing," Science 321, 544 (2008). [CrossRef] [PubMed]
  6. V. Boyer, C. F. McCormick, E. Arimondo, and P. D. Lett, "Ultraslow propagation of matched pulses by four-wave mixing in an atomic vapor," Phys. Rev. Lett. 99, 143601 (2007). [CrossRef] [PubMed]
  7. R. C. Pooser, A. M. Marino, V. Boyer, K. M. Jones, and P. D. Lett, "Low-noise amplification of a continuous-variable quantum state," Phys. Rev. Lett. 103, 010501 (2009). [CrossRef] [PubMed]
  8. Q. Glorieux, R. Dubessy, S. Guibal, L. Guidoni, J.-P. Likforman, T. Coudreau, and E. Arimondo, "Double-λ microscopic model for entangled light generation by four-wave mixing," Phys. Rev. A 82, 033819 (2010). [CrossRef]
  9. C. C. Gerry, and P. L. Knight, Introductory quantum optics, (Cambridge University Press, 2005).
  10. H. A. Bachor, and T. C. Ralph, A guide to experiments in quantum optics, (Wiley-VCH Verlag, 2004). [CrossRef]
  11. C. M. Caves, "Quantum-mechanical radiation-pressure fluctuations in an interferometer," Phys. Rev. Lett. 45, 75-79 (1980). [CrossRef]
  12. R. Loudon, The quantum theory of light (Oxford University Press, 1983), 2nd ed.
  13. R. Loudon, "Theory of noise accumulation in linear optical-amplifier chains," IEEE J. Quantum Electron. 21, 766-773 (1985). [CrossRef]
  14. C. M. Caves, and D. D. Crouch, "Quantum wideband traveling-wave analysis of a degenerate parametric amplifier," J. Opt. Soc. Am. B 4, 1535-1545 (1987). [CrossRef]

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