Emission and cavity-field spectra in a cascade three-level system interacting with a single-mode field

Abstract

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.

Cascade atom in high-Q cavity: the spectrum for non-Markovian decay

“…The same general features for the present Case A(B) and Case C situation in terms of the numbers of spectral features were found by Zhou et al [28], but the presence of the spectral hole at ∆ω = 0 for Case C (which they referred to as the emission spectrum) and its relationship to quantum interference was not reported in their paper. Their lineshapes were associated only with the finite spectrometer bandwidth incorporated in their definition of the spectra and did not reflect cavity decay-which was assumed to be zero.…”

“…Paspalakis et al [27] treated the case of SE from a 3LA in a lambda configuration in a PBG system, using the same approach and spectrum definition as [24]. Similar spectral features were found, including the window not previously noted by John et al The case of a 3LA in a cascade configuration in an ideal lossless cavity has been studied by Zhou et al [28] using a dressed atom approach and both end and side SE spectra were determined. Line shapes were due to the spectrometer bandwidth, as no cavity damping was included.…”

Simultaneous narrowing of the central peak and sidebands via simulation of quantum interference

“…Paspalakis et al [16] investigated the spontaneous emission from a three-level atom in a configuration where one transition was coupled to a Markovian reservoir, the other to a non-Markovian reservoir, and the spontaneous emission into the Markovian reservoir was significantly modified and there were dark lines located in the spontaneous spectra. Zhou et al [17] showed the cavity-field spectrum from a three-level atom comprised three peaks for the intensity-dependent coupling case, but it consisted of a single line for the intensity-independent coupling case.…”

Effect of cavity dissipation on the emission spectrum of an atom interacting with a field in the dispersive approximation

“…Zhou et al studied the emission and the cavity-field spectrum for a system consisting of a cascade three-level atom interacting with a quantized radiation field. [17] Guo and Zhao [18] investigated the emission spectrum of a harmonically trapped two-level atom without making the Lamb-Dicke approximation. However, most of the studies were based on the ideal cavity, without taking cavity damping into account.…”