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The Journal of Chemical Physics

On the application of separable potentials in the description of resonance fluorescence

Shaul Mukamel, Joshua Jortner

Published Jul 1, 1974• 1 citation
Publisher
DOI
10.1063/1.1681665

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Annual Meeting Optical Society of America•Jan 1, 1993•0 citations
We examine the quantum correlation between the Mollow sidebands in the collective resonance fluorescence from a strongly driven ensemble of two-level atoms. By using the criterion proposed by Shchukin and Vogel, we show that non-Gaussian entanglement exists between the two separated sidebands. The responsible mechanism is traced to the spontaneous parametric process, in which the nonclassical correlation is established. This suggests that the collective resonance fluorescence provides a continuous source for the non-Gaussian entangled light and thus has great potentials for various applications in quantum information and quantum computation.
We study the resonance fluorescence emitted by two laser-driven coupled identical two-level atoms and allow for an arbitrary separation between the atoms and an arbitrary orientation of the interatomic axis in the laser field. Quantum beats arise in the resonance fluorescence intensity profile when an interatomic axis orientation is not perpendicular to the driving field propagation direction and are well resolved for an interatomic separation comparable to the resonant wavelength. These beats vanish for noninteracting atoms as well as for atoms separated by distances much smaller than the resonant wavelength. We also consider the time-dependent resonance fluorescence photon statistics that also exhibit quantum beats. Sub-Poissonian photon statistics occur for large interatomic separations and, for small separations, sub- and super-Poissonian statistics arise depending on the atomic orientation in the external driving field.
We have investigated the resonance fluorescence spectrum from two identical atoms driven by a strong standing wave field. We found interesting modifications of the Mollow spectrum, caused by interferences between the two atoms, and in particular a succession of dark and bright states as one of the atoms is moved to successive nodes of the field. Large enough separation between the atoms leads to the disappearance of these interferences, and the atoms act then as independent radiators, the fluorescence spectrum becoming then independent of the interatomic distance. From the point of view advocated by E. Wolf,1 one can interpret these modifications as caused by source correlations. For instance, we obtain new sidebands which are altered as the separation between atoms is modified. When these sidebands eventually cross, the fluorescence spectrum displays interesting properties such as “dark” and “bright” states. These investigations lay the foundations for a discussion of the influence of particle statistics on spectral properties of atoms cooled and trapped in optical molasses. The next step in this direction will include the effects of translational motion on these spectra.2 This program will eventually lead to a full-fledged field theoretical description of the spectral and translational correlation properties of an ensemble of cooled and trapped atoms.