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Journal of Modern Optics

Emission Spectra of a Two-level Atom in a Kerr-like Medium

Vladimír Bužek, Igor Jex

Published May 1, 1991• 22 citations
Publisher

Abstract

We have investigated the spectrum of light emitted by a single atom interacting with a single mode of the radiation field in an ideal cavity filled with a Kerr-like medium. It is shown that owing to the Kerr-like nonlinearity in the system the spectrum of the emitted light exhibits a single-peaked structure for sufficiently high intensities of the initial coherent field instead of the triplet structure in the case of the standard Jaynes-Cummings model.

DOI
10.1080/09500349114550961

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We have investigated the spectrum of light emitted by a single atom interacting with a single mode of the radiation field in an ideal cavity filled with a Kerr-like medium. It is shown that owing to the Kerr-like nonlinearity in the system the spectrum of the emitted light exhibits a single-peaked structure for sufficiently high intensities of the initial coherent field instead of the triplet structure in the case of the standard Jaynes-Cummings model.
A generalized Jaynes-Cummings model when an ideal cavity is filled with a Kerr-like medium is considered. The fluorescence spectrum produced by such a system using the infinity of transitions among the dressed states of the Jaynes-Cummings model is analyzed. A large number of resonances in the spectra are observed that are sensitive to the initial field statistics as well as the nonlinearity of the medium. Also, the fine structure of the spectra gets considerably modified by increasing the nonlinearity of the Kerr-like medium.
The atom emission spectra of a nonlinear Jaynes-Cummings model with an additional Kerr medium are investigated.The emission spectrum expression is derived.The numerical results for the initial field in pure number state,coherent state and squeezed vacuum state are calculated,respectively.The influences of Kerr effect and initial field intensity on the spectrum structure are discussed.It is found that Kerr medium affects the symmetry of the spectrum structure for all initial field states except vacuum.When the initial field is pure number state,all peaks of the spectra shift toward right and the left peak(s) rise and right peaks decline along with accretion of Kerr effect.When the initial field is coherent state,two complicated multi-peak structure each like an arched comb appears for strong field.The Kerr effect makes left peaks higher and right peaks lower.When the initial field is squeezed vacuum state,only left sideband appears.The peak-number of the sideband increases due to the accretion of the Kerr effect or the initial field intensity.
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.