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Acta Physica Sinica

Influence of AC-Stark shift on cavity field spectra in the non-degenerate Raman process

Gao Yun-feng, Feng Jian, (1)聊城大学光通信研究所，聊城 252059;中国科学院武汉物理与数学研究所波谱与原子分子物理国家重点实验室，武汉 430071; (2)聊城大学教育技术系，聊城 252059

Published Jan 1, 2004• 1 citation
Publisher

Abstract

The cavity field spectrum of an atom interacting with two-mode field through non-degenerate Raman coupling with the presence of AC-Stark shift in an ideal cavity is investigated. The results for the atom in the low-level state and the initial fields in pure number states, coherent states, and squeezed vacuum states are calculated. When the initial fields are in number states, the three-peak structure of each model cavity field spectra appear for weak fields, and two-peak or single-peak structure appear for strong fields. When both field modes are in a superposition of number states initially, the cavity field spectra are generally of two-peak structure. With the increase of γ=g2/g1,one peak rises and the other peak reduces.

DOI
10.7498/aps.53.762

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The cavity field spectrum of an atom interacting with two-mode field through non-degenerate Raman coupling with the presence of AC-Stark shift in an ideal cavity is investigated. The results for the atom in the low-level state and the initial fields in pure number states, coherent states, and squeezed vacuum states are calculated. When the initial fields are in number states, the three-peak structure of each model cavity field spectra appear for weak fields, and two-peak or single-peak structure appear for strong fields. When both field modes are in a superposition of number states initially, the cavity field spectra are generally of two-peak structure. With the increase of γ=g2/g1,one peak rises and the other peak reduces.
Emission spectra of a pair of effective two-level atoms interacting with two modes of the cavity field through Raman interaction are studied, where the interaction of each atom with the field may be different. The spectra with two modes of the cavity field being initially in various number states are analysed in detail. It is found that emission spectra manifest following new properties: When mode 1 of the cavity field is in vacuum state and the other is in the weak field , the spectrum shows symmetric ten peaks and six peaks alternately, with the increase of R=g2/g1, which reflects the different Raman interacting intensities of two atoms with the cavity field more sensitively compared with the spectrum of two atoms in a single-mode cavity. The spectrum with 01=1, n2=50 and n1 = 50, n2=1 reflects the different positions of mode 1 and mode 2 of cavity field interacting with two atoms through Raman process. Finally, the symmetric 16-peaks structure of the spectrum is explained.
The cavity field spectrum of an atom interacting with two-mode squeezed vacuum fields in the presence of Stark shift is investigated.The expression of cavity field spectrum and some numerical results are presented.The effects of Stark shift and initial field intensity on the spectrum structure are discussed.It is found that the peak positions are sensitive to the Stark-shift while the peak heights are not under the condition of weak initial fields.Whenn1=n2≥2,the central peak of each mode rises and the other peaks reduce along with the accretion of the Stark-shift coefficients.Various spectral structures may be gained by changing of the Stark-shift coefficients or initial fields.
The cavity field spectra of two different atoms interacting with two-mode field s through Raman process are studied.The effects of relative coupling constant R=g2/g1 on the spectrum structure are discussed.It is found thatR pla ys a different role in the syectrum for vacuum,weak or strong initial field.Dege nerate spectrum structure appears usually forR=1 orR=0.A complicated a symmetric multipeak structure appears when R is between 0 and 1.When the f ield of upper frequency mode is vacuum,its spectrum is influenced sensitively by the field intensity of the other mode for fixed R.
The cavity field spectrum of a pair of coupled two-level atoms interacting with single mode field is studied. The results for the initial fields in pure number state, coherent state or squeezed vacuum state are presented and discussed. The effect of dipole-dipole coupling constant gαp on the cavity field spectrum is analyzed. It is found that four Rabi peaks appear for small gαp and three Rabi peaks for large gα when the field is vacuum initially. When the field is pure number state initially, the structure of the cavity field spectrum is five peaks for weak field and three peaks for strong field. When the fields are in a coherent state or squeezed vacuum state, a multi-peak structure appears generally. The peak-position and peak-height of the spectrum are both influenced by gα, but this influence is evident for weak field only.
The cavity field spectrum of an atom interacting with a field in the presence of Stark shift is investigated. By solving the eigen equation, The expression of the cavity field spectrum is given out. Some numerical results for the initial field in pear number state are presented. The effects of Stark shift and initial photon number on the spectral structure are discussed. It is found that two Rabi peaks with equal height appear when the initial field is vacuum. Along with the accretion of Stark shift, the both peaks shift to lower frequency and the peak-space increases. In the case of strong input field, the heights of the two peaks are no longer equal. The Stark shift coefficient can be detected by measuring the relative height of the two peaks. With increasing of the Stark shift coefficient, the two peaks shift also to lower frequency but the peak-space decrease. In the case of weak input field, one of the two Stark shift coefficient affects one peak's height respectively. The spectral structure can be affected by the photon number and by one or two of the Stark sift coefficient sensitively.