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Physica Scripta

Cooperative emission from two atoms localized in a standing wave field

Nelly Ciobanu, N. A. Enaki, Miguel Orszag

Published Feb 1, 2012• 1 citation
Publisher

Abstract

The effect of standing wave amplitude on the resonance fluorescence of a three-level system of radiators is discussed. The cooperative emission and the fluorescence spectrum of emitted photons from two atoms situated in the nodes and anti-nodes of the laser field are investigated. A realizable model for producing an entangled state, that can be controlled via the distance of localization between two atoms in the anti-nodes, is discussed.

DOI
10.1088/0031-8949/2012/t147/014007

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The effect of standing wave amplitude on the resonance fluorescence of a three-level system of radiators is discussed. The cooperative emission and the fluorescence spectrum of emitted photons from two atoms situated in the nodes and anti-nodes of the laser field are investigated. A realizable model for producing an entangled state, that can be controlled via the distance of localization between two atoms in the anti-nodes, is discussed.
The influence of the standing wave amplitude on the resonance fluorescence of a three-level system of radiators is discussed. Great attention is devoted to the peculiarities of dressed states in the standing wave and the exchange integrals between two atoms situated in the anti-nodes or the nodes. The correlation functions of emitted photons at two dressed frequencies were obtained. It is shown that in the case when the distance between two atoms is smaller than the wavelength of the field, the emitted photons are strongly correlated. As was observed, for large values of laser field intensity, the control of spontaneous emission is possible at two frequencies as well as the atom–atom interaction process. The dependence of the fluorescent light spectrum as a function of the position of two atoms dressed in the standing wave is investigated.
The possibility of manipulating the position of atoms dressed in the standing field of the cavity, based on the resonance fluorescence emission, is discussed. Stark dynamics modification and the strong coupling between two undistinguishable radiators situated in non-symmetric positions of the anti-nodes are investigated. The fluorescent spectrum is shown versus the second atom localization and external field parameters. We describe the conditions in which the Rabi frequencies of atoms change their correlations and cooperative emission.
The possibility of realization of collective resonance fluorescence of extended systems of atoms in the strong travel and standing laser waves it is demonstrated. The influence of regular arrangement of the atoms in interaction with the laser pulls on the fluorescence intensity is analyzed. Taking in to account that such interference can be realize in two distant atomic ensembles we analyzed the collective interference phenomena between the fluorescent fields in the farther field detection region. These effects depend on the exchange integrals between systems of atoms through vacuum fluorescence field. The fluorescence spectrum of these atoms is found. About similar coherence interference experiment of spontaneous emission of light from two distant solid-state ensembles of atoms that are coherently excited by a short laser pulse it is reported in the papers [1,2]. For example, in paper [1] it is observed the entanglement between two distant atomic ensembles located in distinct apparatuses on different tables. Quantum interference in the detection of a photon emitted by one of the samples projects the otherwise independent ensembles into an entangled state with one joint excitation stored remotely in 105 atoms at each site. The experiment [2] relate about the ensembles of erbium ions doped into two LiNbO3 crystals with channel wave guides, which are placed in the two arms of a Mach-Zehnder interferometer. The light that is spontaneously emitted after the excitation pulse shows first-order interference. By a strong collective enhancement of the emission, the atoms behave as ideal two-level quantum systems and no which-path information is left in the atomic ensembles after emission of a photon. Influence of geometry of the sample on the coherent phenomena between two distant systems of atoms in this report is presented.
The resonance fluorescence emitted by two three-level atoms dressed in a strong laser field is studied. A stark dynamics shift based on photon statistics is discussed. The appearance of coherent Rabi oscillations (quantum beats) of the atoms located in the non-symmetric positions of the anti-nodes and the modification of the quantum correlations at the Stokes and anti-Stokes cooperative emission are described. For some positions of the atoms, we observed the violation of the Cauchy–Schwarz inequality, finding antibunching in the scattered light. We present a scheme to control the position of atoms dressed with the standing field via the resonance fluorescence. (Some figures may appear in colour only in the online journal)
We investigate the resonance fluorescence spectrum from two identical atoms driven by a strong standing-wave field. We find 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 their decorrelation and the disappearance of these interferences, the atoms acting then as independent radiators. From a technical viewpoint, we also illustrate how the use of superoperators in Liouville space keeps the discussion transparent and provides a convenient tool for numerical calculations.