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Acta Sinica Quantum Optica

Atomic Emission and Cavity Field Spectra in the Λ-type Three-level Jaynes-Cummings Model with Intensity-dependent Coupling

Qingchun Zhou

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

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.

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Journal of Anhui University•Jan 1, 2008•0 citations
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 using the method of eigenvalues and eigenstates, the emission and cavity-field spectra of a cascade three-level atom interacting with a single-mode electromagnetic field are studied in both intensity-dependent coupling (IDC) and intensity-independent coupling (IIC) cases. The photon statistics of the field on the spectra are investigated for the initial field in the pure number state, the coherent state and the thermal state. In the resonant case and the strong field limit, the pure-number-state emission spectrum exhibits six peaks and three peaks, respectively, for the IDC case and the IIC case. For a strong initial coherent state field or a strong thermal state field, the central structure of the emission spectrum at the field frequency is a doublet in the IDC case and a singlet in the IIC case. The cavity-field spectrum has three peaks in the IDC case and a single peak in the IIC case in the strong field limit for all of the three kinds of initial fields considered. Results indicate that in the emission spectrum merging of spectral peaks occurs for the IIC case as the initial field becomes stronger while it does not happen for the IDC case.
By using the method of eigenvectors, the atomic populations and emission spectrum are investigated in a system that consists of a cascade three-level atom resonantly interacting with a single-mode field in a Kerr-like medium. The atom and the field are assumed to be initially in the upper atomic state and the Fock state, respectively. Results for models with intensity-dependent coupling and with intensity-independent coupling are compared. It is found that both population dynamics and emission spectrum show no indications of atom-field decoupling in the strong field limit if the intensity-dependent coupling is taken into account.
The emission spectrum of a single atom in the nonlinear coupling J-C (Jaynes-Cummings) model including any forms of nonlinearities of both the field and the intensity-dependent atom-field coupling is studied.The effects of nonlinearities on the spectrum are demonstrated.It is shown that features of the emission spectrum are influenced significantly by the kinds of the field nonlinearity term R(a+a) and the intensity-dependent atom-field nonlinear coupling factor f(a+a).The structure of the spectrum is quite different from that of the standard J-C model.It is found that when f(a+a)=1/(a+a)1/2,the emission spectra always show the definite three-peak structure for any initial state of the field,which implies that the effects on the emission spectrum of both the specific intensity-dependent nonlinear medium with f(a+a)=1/(a+a)1/2 and the initial field photon statistics can be counterbalanced.This feature is analyzed with an analytic method.
The treatment of a Λ-type three-level atom interacting with a single mode field in a cavity, explicitly taking the existence of forms of nonlinearities of both the field and the intensity-dependent atom-field coupling into account. Analytical expressions of the emission and absorption spectra are presented using the dressed states of the system. The characteristics of the emission and absorption spectra for binomial state and squeezedcoherent state inputs are exhibited. The effects of the mean number of photons, the detuning, and the nonlinearities on the spectra are investigated. It is shown that the features of the fluorescence and absorption spectra are influenced significantly by the kinds of nonlinearities.
We study the interaction of a three-level atom with a single-mode field in a cavity. We take explicitly into account the existence of the forms of nonlinearities of both the field and the intensity-dependent atom-field coupling. The wavefunction for the atomic system of the Ξ configuration is obtained when the atom is initially prepared in the excited state. The electromagnetic field may assume a squeezed coherent or binomial state. The analytical forms of the fluorescence and absorption spectra are calculated using the dressed states of the system. We investigate the influences of the mean number of photons, detunings, and the nonlinearities forms on the spectrum of the resulting field states. It is shown that the features of the fluorescence and absorption spectra are influenced significantly by the kinds of nonlinearities.
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.