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International Journal of Theoretical Physics

Cavity Field Spectra of the Intensity-Dependent Two-Mode Jaynes–Cummings Model

Gao Yun-feng, Jian Feng, Shu-Ren Shi

Published May 1, 2002• 15 citations
Publisher
DOI
10.1023/a:1015784907643

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The authors have investigated the spectrum of the emitted light by a single atom interacting with a single mode of the radiation in an ideal cavity via the intensity-dependent coupling (the Jaynes-Cummings model with intensity-dependent coupling see B. Buck, Phys. Lett., vol.A81, p.132 (1981)). From the authors' results it follows that in the resonant case the two-peaked structure of the spectrum associated with the vacuum-field Rabi splitting is preserved for any initial state of the radiation field (e.g. number state, thermal state, coherent state and the squeezed vacuum) with an arbitrary average number of photons.
Each parameter in a driven Jaynes–Cummings (JC) model of a cavity system is specified in terms of experimental parameters, such as the transmission coefficient of the mirrors, the length of the cavity, and the intensity of the input coherent field. For this purpose, linear and the third-order nonlinear spectra are calculated from the driven JC model, and the results are compared with those from the universe-mode approach which enables us to treat experimental parameters in a straightforward manner. Although the relationships of the parameters are obtained in the high- Q cavity regime, they are also applicable in the low- Q cavity regime.