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Physical Review A

Quenching the collective effects on the two-photon correlation from two double-Raman atoms

C. H. Raymond Ooi

Published Apr 26, 2007• 12 citations
Publisher

Abstract

We obtain an analytical expression for two-photon correlation ${G}^{(2)}$ from two atoms driven in a double-Raman (or $\ensuremath{\Lambda}$) configuration where collective effects such as superradiant, subradiant, and dipole-dipole interaction are included. It is found that the collective effects on the ${G}^{(2)}$ can be quenched to some extent by a resonant control laser field. The collective effects provide features via ${G}^{(2)}$ that enable the two atoms to be resolved at subwavelength separation. We also identify an effect in the double Raman scheme due to the collective effects and the control field, i.e., the Stokes and anti-Stokes frequencies are increased by fourfold.

DOI
10.1103/physreva.75.043817

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We obtain an analytical expression for two-photon correlation G(2){G}^{(2)}G(2) from two atoms driven in a double-Raman (or \ensuremathΛ\ensuremath{\Lambda}\ensuremathΛ) configuration where collective effects such as superradiant, subradiant, and dipole-dipole interaction are included. It is found that the collective effects on the G(2){G}^{(2)}G(2) can be quenched to some extent by a resonant control laser field. The collective effects provide features via G(2){G}^{(2)}G(2) that enable the two atoms to be resolved at subwavelength separation. We also identify an effect in the double Raman scheme due to the collective effects and the control field, i.e., the Stokes and anti-Stokes frequencies are increased by fourfold.
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An extended medium driven in a double Raman configuration generates Stokes and anti-Stokes fields that are described by coupled parametric oscillator equations with solutions that depend on input boundary operators and quantum noise operators. We identify the conditions where the boundary operators can be the substitute to the noise operators for describing two-photon cross correlation in forward and backward geometries. These conditions include short sample and small decoherence between ground states ${\ensuremath{\gamma}}_{bc}$, and they are fulfilled by the spontaneous Raman electromagnetic induced transparency scheme (weak pump with large detuning). We verify the correspondence between the results from boundary and noise operators analytically and show that the correlation due to the boundary operators is typically smaller than that due to the noise operators. In general the noise operators are required to obtain the correct correlation, especially when the control laser field is weak and ${\ensuremath{\gamma}}_{bc}$ is finite. Explanations for the findings are given based on the physics represented by the boundary operators and noise operators. Similar conclusions are obtained for the Stokes and anti-Stokes intensities.
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