Resonance fluorescence spectra from a three-level atom interacting with a strong bichromatic field

1980 ◽  
Vol 58 (11) ◽  
pp. 1570-1579 ◽  
Author(s):  
M. P. Sharma ◽  
A. Balbin Villaverde ◽  
Constantine Mavroyannis
Keyword(s):  
Closed Form ◽  
Spectral Function ◽  
Excitation Spectrum ◽  
Electromagnetic Fields ◽  
Fluorescence Spectra ◽  
Central Peak ◽  
Relative Strength ◽  
Resonance Fluorescence ◽  
Level Atom ◽  
Bichromatic Field

We have studied the fluorescence spectra arising from the interaction of a three-level atom with two strong electromagnetic fields whose initially populated modes are equal to the two atomic transition frequencies, respectively. The Green's function formalism has been used to calculate the excitation spectrum of the system. An expression for the spectral function describing the excitation spectrum of the system has been derived in a closed form in the limit of high photon densities. Numerical computation of the expression for the spectral function indicates that at each transition frequency there may exist either one pair or two pairs or three pairs of sidebands, in addition to the central peak, depending upon the relative strength of the Rabi frequencies involved.

Optical mixing of frequencies of a strong bichromatic field interacting with a three-level atom

1981 ◽  
Vol 59 (12) ◽  
pp. 1917-1929 ◽  
Author(s):  
Constantine Mavroyannis
Keyword(s):  
Spectral Function ◽  
Excitation Spectrum ◽  
Graphical Representation ◽  
Single Band ◽  
Laser Fields ◽  
Optical Amplification ◽  
Lorentzian Line ◽  
Level Atom ◽  
Bichromatic Field ◽  
Optical Mixing

We have studied the excitation spectrum arising from the optical mixing of the frequencies of a strong bichromatic field interacting with a three-level atom, where the two initially populated modes ωa and ωb are equal to the two atomic transition frequencies, respectively. In the limit of high photon densities, the excitation spectrum near the frequency ω = ωa – 2ωb has been calculated as a function of the parameter η = Ωa2/Ωb2, where Ωa and Ωb are the Rabi frequencies of the two laser fields, respectively. For [Formula: see text] and for weak fields for which [Formula: see text], the spectral function describes a Lorentzian line peaked at the frequency ω = ωa – 2ωb and has a width of the order of γ0, where γ0/2 is the natural width for a two-level atom. When Ωb2 > γ02 and [Formula: see text], the band at ω = ωa – 2ωb splits into two bands described by two Lorentzian lines peaked at ω = ωa – 2ωb ± Ωb/√2 and have spectral widths of the order of 3γ0/4. The ratio of the height of the band ω = ωa – 2ωb to the height ω = ωa – 2ωb ± Ωb/2 is 3:2. The probability amplitudes for both bands take large negative values indicating that optical amplification of the signal field may be expected to occur at these frequencies. When Ωa = Ωb = Ω, η = 1, and for Ω2 < γ02, the spectral function describes a single band at ω = ωa – 2ωb while for Ω2 > γ02, the single band splits into five pairs of bands which are separated from the frequency ω = ωa – 2ωb by frequency shifts which are equal to: ± Ω/√2, [Formula: see text], ± Ω, ± Ω√2, and ± Ω√3, respectively, and have spectral widths of the order of 3γ0/4. For [Formula: see text] and for laser fields for which Ωa2 > γ02 and Ωb2 > γ02, the spectral function consists of three pairs of bands. The probability amplitudes for these bands vary linearly with η and may take large values for [Formula: see text]. A complete discussion of the excitation spectrum as well as a graphical representation of the derived results has been given.

Interference effects in the resonance fluorescence of a three-level atom at high proton densities

1980 ◽  
Vol 58 (7) ◽  
pp. 957-963 ◽  
Author(s):  
Constantine Mavroyannis
Keyword(s):  
Excitation Spectrum ◽  
Beat Frequency ◽  
Low Frequency ◽  
Delta Function ◽  
Resonance Fluorescence ◽  
Interference Effects ◽  
Lorentzian Line ◽  
Level Atom ◽  
Upper Level ◽  
The Stability

A theory on interference effects at high photon densities has been developed for two types of a single three-level atom for which transitions occur: (i) from two different upper levels to a common lower one and (ii) from a common upper level to two different lower levels. The excitation spectrum for the interference effects for the two types of atoms results from the symmetric and antisymmetric interference between the two electronic transitions of the system, respectively. The spectral function for the symmetric modes consists of three Lorentzian lines peaked at the frequencies ω = Δ and ω = Δ ± Ω and having spectral widths of the order of γ0 and 3γ0/4, respectively, where Δ is the beat frequency, Ω is the Rabi frequency, and γ0/2 is equal to the natural linewidth for a photon spontaneously emitted from an isolated atom. The antisy mmetric spectrum consists of the peak of ω = Δ, which has a delta-function distribution indicating the stability of the mode in question, and two Lorentzian lines peaked at ω = Δ ± Ω with radiative widths of the order of γ0/2. The excitation spectrum of each type of atom contains also a Lorentzian line describing the very low frequency mode of the system, respectively.

Comment on “Resonance-fluorescence and absorption spectra of a two-level atom driven by a strong bichromatic field”

2002 ◽  
Vol 65 (6) ◽  
Author(s):  
David L. Aronstein ◽  
Ryan S. Bennink ◽  
Robert W. Boyd ◽  
C. R. Stroud
Keyword(s):  
Absorption Spectra ◽  
Resonance Fluorescence ◽  
Level Atom ◽  
Bichromatic Field

Resonance fluorescence of a two-level atom in a strong bichromatic field

1990 ◽  
Vol 41 (11) ◽  
pp. 6013-6022 ◽  
Author(s):  
Helen Freedhoff ◽  
Zhidang Chen
Keyword(s):  
Resonance Fluorescence ◽  
Level Atom ◽  
Bichromatic Field

Resonance-fluorescence and absorption spectra of a two-level atom driven by a strong bichromatic field

1993 ◽  
Vol 48 (4) ◽  
pp. 3092-3104 ◽  
Author(s):  
Z. Ficek ◽  
H. S. Freedhoff
Keyword(s):  
Absorption Spectra ◽  
Resonance Fluorescence ◽  
Level Atom ◽  
Bichromatic Field

Resonance fluorescence spectra and squeezing properties of a bichromatically driven four-level atom

1999 ◽  
Vol 60 (5) ◽  
pp. 4179-4182 ◽  
Author(s):  
M. Jakob ◽  
J. Bergou
Keyword(s):  
Fluorescence Spectra ◽  
Resonance Fluorescence ◽  
Level Atom

scholarly journals Resonance fluorescence spectrum of a two-level atom driven by a bichromatic field in a squeezed vacuum

1997 ◽  
Vol 55 (3) ◽  
pp. 2340-2347 ◽  
Author(s):  
Peng Zhou ◽  
S. Swain ◽  
Z. Ficek
Keyword(s):  
Fluorescence Spectrum ◽  
Resonance Fluorescence ◽  
Squeezed Vacuum ◽  
Level Atom ◽  
Bichromatic Field ◽  
Resonance Fluorescence Spectrum

Excitation spectra for the V configuration of a three-level atom in resonance with two laser fields

1985 ◽  
Vol 63 (2) ◽  
pp. 144-150
Author(s):  
D. A. Hutchinson
Keyword(s):  
Excited States ◽  
Excitation Spectrum ◽  
Ground State ◽  
Central Peak ◽  
Decay Rates ◽  
Closed Form Expression ◽  
Form Expression ◽  
Excitation Spectra ◽  
Level Atom ◽  
Special Cases

The excitation spectrum is calculated for a three-level atom interacting with two strong electromagnetic fields. The two fields are in resonance with the atomic transition frequencies from the ground state to the two excited states. The excitation spectrum consists of a central peak and two pairs of side bands for each of the two transitions. If the decay rates of the two excited states are equal a relatively simple closed form expression is derived for the excitation spectrum. For unequal decay rates numerical methods are used to determine the excitation spectrum for selected special cases.

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