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Acta Physica Sinica

A GENERAL THEORY OF SPONTANEOUS-EMISSION LINE SHAPE OF TWO ATOMS

Zhenfei Luo, XU ZHI-ZHAN, Xu Lei, Shi‐Dong Liang, (1)佛山大学物理系,佛山510000; (2)中国科学院上海光学精密机械研究所,上海201800; (3)中国科学院上海原子核研究所,上海201800

Published Jan 1, 1993• 1 citation
Publisher

Abstract

The spontaneous-emission line shape of two atoms interacting with a vacuum field in an ideal cavity with different couplings is investigated. In general, the "vaccum-field Rabi splitting" will show a 12-peaked structure. The 2-peaked structure for one atom and 6-peaked structure for two identical atoms may be obtained as two examples.

DOI
10.7498/aps.42.925

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Acta Physica Sinica•Jan 1, 1996•0 citations
The spontaneous-emission line shape of two atoms interacting with a vacuum field in an ideal cavity with different couplings is investigated. In general, the "vaccum-field Rabi splitting" will show a 12-peaked structure. The 2-peaked structure for one atom and 6-peaked structure for two identical atoms may be obtained as two examples.
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.
The spectrum of spontaneously emitted photons from an atom interacting with a single cavity mode depends on the relative sizes of the mode coupling constant and the cavity loss rate. If the coupling constant is not too large, perturbation theory can he used to show that the atomic linewidth is either increased (enhanced spontaneous emission) or decreased (inhibited spontaneous emission) by the presence of the cavity. When the coupling constant is so large that perturbation theory cannot be used, the spontaneous- emission spectrum forms a doublet, with peaks located at the normal-mode frequencies for the coupled-dipole and cavity-mode oscillators (the so-called "vacuum" Rabi splitting).
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.
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.