AM  Vol.2 No.12 , December 2011
The Physical Transient Spectrum for a Multi-Photon V-Type Three-Level Atom Interacting with a Squeezed Coherent Field in the Presence of Nonlinearities
ABSTRACT
We study the interaction of a multi-photon three-level atom with a single mode field in a cavity, taking explicitly into account the existence of forms of nonlinearities of both the field and the intensity-dependent atom-field coupling. The analytical forms of the emission spectrum is calculated using the dressed states of the system. The effects of photon multiplicities, mean photon number, detuning, Kerr-like medium and the intensity-dependent coupling functional on the emission spectrum are analyzed.

Cite this paper
nullF. Faramawy and A. Eied, "The Physical Transient Spectrum for a Multi-Photon V-Type Three-Level Atom Interacting with a Squeezed Coherent Field in the Presence of Nonlinearities," Applied Mathematics, Vol. 2 No. 12, 2011, pp. 1425-1431. doi: 10.4236/am.2011.212201.
References
[1]   C. Hooijer, G.-X. Li, K. Allaart and D. Lenstra, “Sponta-neous emission in a V-Type Three-Level Atom Driven by a Classical Field,” Physics Letters A, Vol. 263, No. 4-6, 1999, pp. 250-256.doi:10.1016/S0375-9601(99)00718-5

[2]   Z. Ficek and P. D. Drummond, “Three-Level Atom in a Broadband Squeezed Vacuum Field. I. General Theory,” Physical Review A, Vol. 43, No. 11, 1991, pp. 6247-6257. doi:10.1103/PhysRevA.43.6247

[3]   S. Smart and S. Swain. “Three-Level Atom in a Squeezed Vacuum II. Resonance Fluorescence,” Journal of Modern Optics, Vol. 41, No. 6, 1994, pp. 1055-1077. doi:10.1080/09500349414551021

[4]   B. J. Dalton M. R. Ferguson and Z. Ficek, “Resonance Fluorescence Spectra of Three-Level Atoms in a Squeezed Vacuum,” Physical Review A, Vol. 54, No. 3, 1996, pp. 2379-2390. doi:10.1103/PhysRevA.54.2379

[5]   B. J. Dalton M. Bostick and Z. Fizec, “Probe Absorption Spectra for Driven Atomic Systems in a Narrow Bandwidth Squeezed Vacuum,” Physical Review A, Vol. 53, No. 6, 1996, pp. 4439-4439. doi:10.1103/PhysRevA.53.4439

[6]   O. G. Calderon F. Carreno and M. A. Anton, “Quantum Interference Effects in Resonance Fluorescence and Absorption Spectra of a-Type Three-Level Atom Damped by a Broadband Squeezed Vacuum,” Optics Communications, Vol. 221, No. 4-6, 2003, pp. 365-385. doi:10.1016/S0030-4018(03)01490-1

[7]   D. F. Walls and G. J. Milburn, “Quantum Optics,” Springer-Verlag, Berlin, 1994.

[8]   C .M. Caves and B. L. Schumaker, “New Formalism for Two-Photon Quantum Optics. I. Quadrature Phase and Squeezed States,” Physical Review A, Vol. 31, No. 5, 1985, pp. 3068-3092. doi:10.1103/PhysRevA.31.3068

[9]   V. V. Dodonov, “Nonclassical States in Quantum Optics: A Squeezed Review of the First 75 Years,” Journal of Optics B, Vol. 4, No. 1, 2002, p. R1. doi:10.1088/1464-4266/4/1/201

[10]   J. H. Eberly and K. Wodkiewicz, “The Time-Dependent Physical Spectrum of Light,” Journal of the Optical Society of America, Vol. 67, No. 9, 1977, pp. 1252-1261. doi:10.1364/JOSA.67.001252

[11]   R. Loudon, “Quantum Statistics of Linear and Nonlinear Optical Phenomena,” Optica Acta: International Journal of Optics, Vol. 31, No. 8, 1984, pp. 847-852. doi:10.1080/713821593

[12]   S.-Y. Zhu, R. C. F. Chan and C. P. Lee, “Spontaneous Emission from a Three-Level Atom,” Physical Review A, Vol. 52, No. 1, 1995, pp. 710-716. doi:10.1103/PhysRevA.52.710

[13]   G. x. Li, K. Allaart, C. Hooijer and D. Lenstra, “Spontaneous Emission in a V-Type Three-Level Atom Driven by a Classical Field,” Physics Letters A, Vol. 263, No. 4-6, 1999, pp. 250-256. doi:10.1016/S0375-9601(99)00718-5

[14]   P. Dong and S. H. Tang, “Absorption Spectrum of a V-Type Three-Level Atom Driven by a Coherent Field,” Physical Review A, Vol. 65, 2002, Article ID 033816, 10 Pages.

[15]   C. Cohen-Tannoudji and S. Reynaud, “Dressed-Atom Description of Resonance Fluorescence and Absorption Spectra of a Multi-Level Atom in an Intense Laser Beam,” Journal of Physics B, Vol. 10, No. 3, 1977, p. 345. doi:10.1088/0022-3700/10/3/005

[16]   C. Cohen-Tannoudji and S. Reynaud, “Simultaneous Saturation of Two Atomic Transitions Sharing a Common Level,” Journal of Physics B, Vol. 10, No. 12, 1977, p. 2311. doi:10.1088/0022-3700/10/12/010

 
 
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