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Emission spectrum of a Λ-type three-level atom with two-mode thermal radiation cavity fields

Zhuo‐Liang Cao

Published Jan 1, 2009• 0 citations
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Abstract

By means of time-evolution operator,the emission spectrum of a Λ-type three-level atom interacting resonantly with two-mode thermal radiation cavity fields was studied.The physical spectrum expression of radiation emitted by the atom was given.The structure of the emission spectrum for a thermal input was discussed.The results indicate that whether two lower levels are degeneracy or not,Rabi splitting occurred in the emission spectra of Λ-type three-level atom when the average photon number of two-mode thermal radiation cavity fields is very small.And the structure of the resonant emission spectra of the atomic system has ten peaks generally.

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By means of time-evolution operator,the emission spectrum of a Λ-type three-level atom interacting resonantly with two-mode thermal radiation cavity fields was studied.The physical spectrum expression of radiation emitted by the atom was given.The structure of the emission spectrum for a thermal input was discussed.The results indicate that whether two lower levels are degeneracy or not,Rabi splitting occurred in the emission spectra of Λ-type three-level atom when the average photon number of two-mode thermal radiation cavity fields is very small.And the structure of the resonant emission spectra of the atomic system has ten peaks generally.
By means of time-evolution operator,we have studied the emission spectrum of a Λ-type three-level atom interacted resonantly with two-mode odd-even entangled coherent states cavity fields in the paper.The physical spectrum expression of radiation emitted by the atom was given.The results indicated that whether two lower levels are degeneracy or not,the emission spectra of Λ-type three-level atom occur Rabi splitting when average photon number of two-mode odd-even entangled coherent states cavity fields were very small.And intensity increased with degree of two-mode entangled coherent states cavity fields when two lower levels were degeneracy.Intensity increase with degree of one-mode entangled coherent states cavity fields and that intensity decreased with degree of another one-mode entangled coherent states cavity fields when two lower levels were degeneracy.The structure of the resonant emission spectra of the atomic system had ten peaks generally.
The eigenfunction method is adopted to investigate atomic emission and cavity field spectra in the system containing a Λ-type three-level atom resonantly' interacting with a single-mode field.The atom is assumed initially in the upper atomic state and intensity-dependent coupling is taken into account.It is found that the splitting between the lower levels has a great influence on the spectral structure for both the emission spectrum and the cavity field spectrum.Combination of spectral lines does not take place with increasing intensity of the initial field and the cavity spectrum is not sensitive to the statistics of the initial field.
By means of time evolution operator, the emission spectrum from two two level entangled atoms in Bell states interacting with a single mode cavity field in the Fock state has been studied in the paper. The physical spectrum expression of radiation emitted by the atoms is given out for each Bell state. In general, the spectrum shows the symmetrical multi peak structure and the symmetrical three peak structure with the strong optical input. Bell states composed of two identical atoms can be partially distinguished in view of the characterizations of their emission spectrum
The emission spectrum of a pair of two-level atoms interacting with a single mode of radiation field in an ideal cavity is investigated, where the interaction of each atom with the field may be different. A general expression for the emission spectrum is presented and the spectrum is studied numerically when the radiation field is initially in the vacuum state, pure number state and squeezed-vacuum state, respectively. The effects of the ratio of two coupling constants (R=g 2 /g 1 ) on the emission spectrum are discussed. In contrast with the spectrum of a one-atom system, the spectrum of a two-atom system is much more complicated. Generally, the emission spectrum shows a 12-peak structure for the vacuum state and 16-peak structure for the pure number state. For the squeezed-vacuum state, it is found that the Rabi splitting is most apparent when R=1.