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Journal of Atomic and Molecular Physics

Effects of Stark shift on the cavity field spectra of an atom interacting with two modes squeezed vacuum fields

Zhang Gui

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

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.

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Communications in Theoretical Physics•Jan 1, 2007•1 citation
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 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.
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.
The cavity field spectra of two coupling atoms interacting with two squeezed vacuum states of field through Raman process in Kerr medium are studied.By solving the eigen equation,the cavity field spectrum expression is given out and some numerical results are presented.It is found that both the Kerr effect and the atoms coupling influence the spectra structures slightly in the case of weak input field.When the input fields are strong,the highest peak at lift with a multi-peak right sideband spectrum like a half comb appears.Along with the accretion of Kerr effect,the peak-space of the sideband increases and the spectral frequency shifts away from the resonant frequency.A multi-peak spectrum checkered with different height appears with the stronger Kerr effect.
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 a cascade three-level atom interacting with single-mode field with Kerr-like medium in the cavity is investigated. The numerical results for the initial field in pure number state, coherent state and squeezed vacuum state are calculated, respectively. It is found that the Kerr-like medium affects the spectral structure even though the initial field is in vacuum when the atom is in upper level. In the case of strong input field, the number state spectrum shows two peaks with different heights; and the superposition state spectrum shows a multi-peak structure with an equal distance of two neighboring peaks. The spectral ``central frequency" shifts away from the resonant frequency with the increasing of average photon number.