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The Journal of Light Scattering

Emission Spectrum From Two-atom in Bell Basis States Through the Raman Interaction With a Cavity-field

Zhuo‐Liang Cao

Published Jan 1, 2001• 0 citations
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Abstract

By means of time-evolution operator, we have studied the emission spectrum from two-atom in Bell basis states through the Raman interaction with a cavity-field in the Fock state in the paper. The physical spectrum expression of radiation emitted by the atom is given out. In general, the spectrum shows the different symmetrical multi-peak structure for each Bell basis state.

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By means of time-evolution operator, we have studied the emission spectrum from two-atom in Bell basis states through the Raman interaction with a cavity-field in the Fock state in the paper. The physical spectrum expression of radiation emitted by the atom is given out. In general, the spectrum shows the different symmetrical multi-peak structure for each Bell basis state.
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
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 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.
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.
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.