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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 11, Iss. 1 — Jan. 13, 2003
  • pp: 7–13

Theory of photon statistics and squeezing in quantum interference of a sub-threshold parametric oscillator

R. Andrews, E. R. Pike, and Sarben Sarkar  »View Author Affiliations

Optics Express, Vol. 11, Issue 1, pp. 7-13 (2003)

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A multimode theory describing quantum interference of a sub-threshold optical parametric oscillator (OPO) with a coherent local oscillator (LO) in a homodyne detection scheme is presented. Analytic expressions for the count rates in terms of the correlation time and relative phase difference between the LO and OPO have been derived. The spectrum of squeezing is also derived and the threshold for squeezing obtained in terms of the crystal nonlinearity and LO and OPO beam intensities.

© 2003 Optical Society of America

OCIS Codes
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(270.5290) Quantum optics : Photon statistics

ToC Category:
Research Papers

Original Manuscript: November 12, 2002
Revised Manuscript: December 11, 2002
Published: January 13, 2003

Roger Andrews, E. Pike, and Sarben Sarkar, "Theory of photon statistics and squeezing in quantum interference of a sub-threshold parametric oscillator," Opt. Express 11, 7-13 (2003)

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  1. G. Brassard, N. Lutkenhaus, T. Mor, and B. Sanders, �??Limitations on practical quantum cryptography,�?? Phys. Rev. Lett. 85, 1330-1333 (2000). [CrossRef] [PubMed]
  2. A. Kiraz, S. Falth, C. Bechner , B. Gayral, W. V. Schoenfeld, P. M. Petroff, Lidong Zhang, E. Hu and A. Imamoglu, �??Photon correlation spectroscopy of a single quantum dot,�?? Phys. Rev. B 65, 161303-161304 (2002). [CrossRef]
  3. C. Santori, M. Pelton, G. Solomon, Y. Dale, and Y. Yamamoto, �??Triggered single photons from a quantum dot,�?? Phys. Rev. Lett. 86, 1502-1505 (2001). [CrossRef] [PubMed]
  4. R. Brouri, A. Beveratos, J. Poizat, P. Grangier, �??Photon antibunching in the fluorescence of individual color centers in diamond,�?? Opt. Lett. 25, 1294-1296 (2000). [CrossRef]
  5. L. Fleury, J. Segura, G. Zumofen, B. Hecht and U. P. Wild, �??Nonclassical photon statistics in single-molecule fluorescence at room temperature,�?? Phys. Rev. Lett. 84, 1148-1151 (2000). [CrossRef] [PubMed]
  6. Y. J. Lu and Z. Y. Ou, �??Observation of nonclassical photon statistics due to quantum interference,�?? Phys. Rev. Lett. 88, 023601-1-023601-4 (2002).
  7. R. Andrews, E. R. Pike and Sarben Sarkar, �??Photon correlations of a sub-threshold optical parametric oscillator,�?? Opt. Express 10, 461-468 (2002), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-11-461">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-11-461</a>. [CrossRef] [PubMed]
  8. A. Gatti and L. Lugiato, �??Quantum images and critical fluctuations in the optical parametric oscillator,�?? Phys. Rev. A 52, 1675-1690 (1995). [CrossRef] [PubMed]
  9. F. De Martini, M. Marrocco , P. Mataloni, L. Crescentini and R. Loudon, �??�??Spontaneous emission in the optical microscopic cavity,�??�?? Phys. Rev. A 43, 2480-2497 (1991). [CrossRef] [PubMed]

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