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Acta Physica Sinica

EMISSION SPECTRA OF TWO ATOMS INTERACTING WITH TWO MODES OF THE CAVITY FIELD THROUGH RAMAN PROCESS (g1≠g2)

Feng Jian, Song Tong-Qiang, Wenzheng Wang, Jing-zhi Xu, (1)山东省聊城师范学院光通信研究所,聊城252059; (2)山东省聊城师范学院物理系,聊城252059

Published Jan 1, 1996• 0 citations
Publisher

Abstract

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.

DOI
10.7498/aps.45.1304

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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 two atoms interacting with two-mode fields with different coupling constants(g_1≠g_2) was studied.By solving the eigen equation,the cavity field spectrum expression of the system was given out.Some numerical results for the fields in pure number state and the atoms in the upper level were presented initially.The effects of the relative coupling constant R=g_2/g_1 or photon number on the spectrum structure were analyzed.It is found that R plays a different role in the spectrum with field in vacuum state,weak state and strong state.The frequency of one mode field spectrum is tuned by the intensity of the other mode.The frequencies of two modes spectra can be changed by the relative coupling constant.
The emission spectrum of a pair of effective two-level atoms interacting with two modes of the radiation field with different coupling constants through a multiphoton Raman process is studied. A general expression for the emission spectrum with two modes of the field being in arbitrary states is presented. Our results show that when two modes of the field are in arbitrary number states, the spectrum is always symmetric about the resonant frequency , although the Hamiltonian of the system is asymmetric which is induced by the two different atom-field coupling constants. This property is analysed with an analytic method.
The cavity field spectrum of two coupled atoms Raman interacting with a simgle mode field in an ideal cavity is investigated. The effects of dipole dipole interaction of atoms and exchange symmetry of the initial state of atoms on the cavity field spectra are analyzed. It is found that five peak structure appears for weak fields, and three peak structure appears for strong field. When the two atoms are in the different state initially, the exchange symmetry of the atoms play a decisive role in the structure of the cavity field spectra.
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.