Abstract

Resonances of the six-wave mixing susceptibility χ(5)1, ω1, ω1, −ω2, −ω2) at frequency 3ω1−2ω2 of a system of two-level atoms dissipating through the spontaneous emission and collisions and driven by a weak bichromatic external field of frequencies ω1 and ω2 in a finite Q cavity are analyzed. It is shown that the atomic collisions not only induce the usual Bloembergen resonances but that they also play a major role in enhancing the transitions among the higher-order dressed states, thereby bringing out some of the quantum resonances that are suppressed in the absence of collisions. The important contribution of collisions in this higher-order nonlinear process is the generation of the subharmonic resonances at ±1/2 times the hyperfine splitting of the first and the second excited manifolds.

© 2000 Optical Society of America

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  1. G. S. Agarwal, Advances in Atomic, Molecular and Optical Physics, Vol. 29, D. Bates and B. Bederson, eds. (Academic, San Diego, 1991).
  2. R. R. Puri and A. Ray, “Collision-induced quantum effects in four-wave mixing in a high-Q cavity,” J. Opt. Soc. Am. B 14, 1289–1294 (1997).
  3. R. R. Puri and A. Ray, “Quantum effects in four-wave mixing in a cavity,” Phys. Rev. A 57, 4061–4064 (1998).
  4. V. F. Lukinykh, S. A. Myslivets, A. Popov, and V. V. Slabko, “Nonlinear optical frequency mixing in dye vapors,” Appl. Phys. B 38, 143–146 (1985); A. V. Smith, “Four-photon resonant third-harmonic generation in Hg,” Opt. Lett. 10, 341–343 (1985).
  5. R. Trebino and L. A. Rahn, “Subharmonic resonances in higher-order collision-enhanced wave mixing in a sodium-seeded flame,” Opt. Lett. 12, 912–914 (1987).
  6. R. Trebino, “Alternative nonlinear-optical expansion and diagrammatic approach: Nth-order dephasing-induced effects,” Phys. Rev. A 38, 2921–2931 (1988).
  7. G. S. Agarwal and N. Nayak, “Effect of collisions and saturation on multiphoton processes and nonlinear mixing in the field of two pumps,” Phys. Rev. A 33, 391–396 (1986).
  8. N. Bloembergen, A. R. Bogdan, and M. W. Downer, “Collision-induced coherences in four-wave light mixing,” in Laser Spectroscopy V., A. R. W. McKeller, T. Oka, and B. P. Stoicheff, eds. (Springer-Verlag, Berlin, 1981), pp. 157–165.
  9. E. T. Jaynes and F. W. Cummings, “Comparison of quantum and semiclassical radiation theories with application to the beam maser,” Proc. IEEE 51, 89 (1963).

1998 (1)

R. R. Puri and A. Ray, “Quantum effects in four-wave mixing in a cavity,” Phys. Rev. A 57, 4061–4064 (1998).

1997 (1)

1988 (1)

R. Trebino, “Alternative nonlinear-optical expansion and diagrammatic approach: Nth-order dephasing-induced effects,” Phys. Rev. A 38, 2921–2931 (1988).

1987 (1)

1986 (1)

G. S. Agarwal and N. Nayak, “Effect of collisions and saturation on multiphoton processes and nonlinear mixing in the field of two pumps,” Phys. Rev. A 33, 391–396 (1986).

1963 (1)

E. T. Jaynes and F. W. Cummings, “Comparison of quantum and semiclassical radiation theories with application to the beam maser,” Proc. IEEE 51, 89 (1963).

Agarwal, G. S.

G. S. Agarwal and N. Nayak, “Effect of collisions and saturation on multiphoton processes and nonlinear mixing in the field of two pumps,” Phys. Rev. A 33, 391–396 (1986).

Cummings, F. W.

E. T. Jaynes and F. W. Cummings, “Comparison of quantum and semiclassical radiation theories with application to the beam maser,” Proc. IEEE 51, 89 (1963).

Jaynes, E. T.

E. T. Jaynes and F. W. Cummings, “Comparison of quantum and semiclassical radiation theories with application to the beam maser,” Proc. IEEE 51, 89 (1963).

Nayak, N.

G. S. Agarwal and N. Nayak, “Effect of collisions and saturation on multiphoton processes and nonlinear mixing in the field of two pumps,” Phys. Rev. A 33, 391–396 (1986).

Puri, R. R.

R. R. Puri and A. Ray, “Quantum effects in four-wave mixing in a cavity,” Phys. Rev. A 57, 4061–4064 (1998).

R. R. Puri and A. Ray, “Collision-induced quantum effects in four-wave mixing in a high-Q cavity,” J. Opt. Soc. Am. B 14, 1289–1294 (1997).

Rahn, L. A.

Ray, A.

R. R. Puri and A. Ray, “Quantum effects in four-wave mixing in a cavity,” Phys. Rev. A 57, 4061–4064 (1998).

R. R. Puri and A. Ray, “Collision-induced quantum effects in four-wave mixing in a high-Q cavity,” J. Opt. Soc. Am. B 14, 1289–1294 (1997).

Trebino, R.

R. Trebino, “Alternative nonlinear-optical expansion and diagrammatic approach: Nth-order dephasing-induced effects,” Phys. Rev. A 38, 2921–2931 (1988).

R. Trebino and L. A. Rahn, “Subharmonic resonances in higher-order collision-enhanced wave mixing in a sodium-seeded flame,” Opt. Lett. 12, 912–914 (1987).

J. Opt. Soc. Am. B (1)

Opt. Lett. (1)

Phys. Rev. A (3)

R. R. Puri and A. Ray, “Quantum effects in four-wave mixing in a cavity,” Phys. Rev. A 57, 4061–4064 (1998).

R. Trebino, “Alternative nonlinear-optical expansion and diagrammatic approach: Nth-order dephasing-induced effects,” Phys. Rev. A 38, 2921–2931 (1988).

G. S. Agarwal and N. Nayak, “Effect of collisions and saturation on multiphoton processes and nonlinear mixing in the field of two pumps,” Phys. Rev. A 33, 391–396 (1986).

Proc. IEEE (1)

E. T. Jaynes and F. W. Cummings, “Comparison of quantum and semiclassical radiation theories with application to the beam maser,” Proc. IEEE 51, 89 (1963).

Other (3)

G. S. Agarwal, Advances in Atomic, Molecular and Optical Physics, Vol. 29, D. Bates and B. Bederson, eds. (Academic, San Diego, 1991).

N. Bloembergen, A. R. Bogdan, and M. W. Downer, “Collision-induced coherences in four-wave light mixing,” in Laser Spectroscopy V., A. R. W. McKeller, T. Oka, and B. P. Stoicheff, eds. (Springer-Verlag, Berlin, 1981), pp. 157–165.

V. F. Lukinykh, S. A. Myslivets, A. Popov, and V. V. Slabko, “Nonlinear optical frequency mixing in dye vapors,” Appl. Phys. B 38, 143–146 (1985); A. V. Smith, “Four-photon resonant third-harmonic generation in Hg,” Opt. Lett. 10, 341–343 (1985).

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