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Journal of Mathematical Physics / Volume 26 / Issue 5

J. Math. Phys. 26, 1093 (1985); http://dx.doi.org/10.1063/1.526543 (9 pages)

Strong amplification of sidebands in a strongly driven three‐level atomic system

Constantine Mavroyannis

Division of Chemistry, National Research Council of Canada, Ottawa, Ontario, Canada K1A 0R6

(Received 25 May 1984; accepted 21 December 1984)

We have considered the excitation spectra for a three‐level atom interacting simultaneously with a strong pump field and a weak signal field. The atom consists of an upper excited state ‖2〉 and two lower states ‖1〉 and ‖3〉 where the transition ‖1〉↔‖3〉 is electric‐dipole forbidden from parity considerations. The pump field, whose frequency mode ωb is initially populated, operates near resonance between the states ‖2〉 and ‖3〉, ‖2〉↔‖3〉, while the signal field describes the radiative decays ‖2〉→‖3〉 and ‖2〉→‖1〉, respectively. Using the Green function method, the spectral functions for the signal field have been calculated in the limit of high photon densities of the pump field describing the following processes: (i) one‐photon process; the spectra consist of a main peak at the signal frequency ω=ω21 and a pair of sidebands at ω=ω21±Ω−(ω23−ωb)/2, where Ω2=Ω2b/2+(ω23−ωb)2/4 with Ωb and (ω23−ωb) being the Rabi frequency and the detuning of the pump field, respectively. The intensity of the main peak at ω=ω21 is positive indicating signal‐field absorption while those of the sidebands are always negative implying amplification (stimulated emission) of the signal field. The sum of the intensities (in absolute value) of the sidebands is twice that of the main peak at resonance while in the off‐resonance case it depends on the value of the ratio (ω23−ωb)/2Ω. (ii) Stimulated three‐photon process; the spectra consists of a pair of sidebands peaked at ω=ω21−2ωb±Ω−(ω23−ωb)/2 whose intensity is negative indicating amplification. At resonance the sidebands have equal intensities but at finite detuning asymmetry arises enhancing one peak while diminishing the intensity of the other. (iii) Stimulated two‐photon process; the stimulated Raman spectra consist of a peak at ω=ω31, which has a delta function distribution, and a pair of strongly amplified sidebands at ω=ω31±Ω+(ω23−ωb)/2. The computed spectra for the three processes are presented graphically for different values of Rabi frequencies and detunings.

KEYWORDS and PACS

Keywords

MULTI−PHOTON SPECTRA, FREQUENCY MODULATION, AMPLIFICATION, ENERGY LEVELS, SIGNALS, OPTICAL PUMPING, ATOMS, ENERGY−LEVEL TRANSITIONS, RESONANCE, OSCILLATION MODES, GREEN FUNCTION, STIMULATED EMISSION, ASYMMETRY, SPECTRAL FUNCTIONS, EXCITATION, DISTURBANCES, HAMILTONIANS, EQUATIONS OF MOTION, QUANTUM OPERATORS, NONLINEAR OPTICS

PACS

  • 42.50.-p

    Quantum optics

  • 42.65.Dr

    Stimulated Raman scattering; CARS

  • 42.65.Es

    Stimulated Brillouin and Rayleigh scattering

  • 42.65.Ky

    Frequency conversion; harmonic generation, including higher-order harmonic generation

  • 32.80.Wr

    Other multiphoton processes

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.526543

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

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