dorsal/arxiv
View SchemaComparison of Recoil-Induced Resonances (RIR) and Collective Atomic Recoil Laser (CARL)
| Authors | P. R. Berman |
|---|---|
| Categories | |
| ArXiv ID | physics/9809002 |
| URL | https://arxiv.org/abs/physics/9809002 |
| DOI | 10.1103/PhysRevA.59.585 |
Abstract
The theories of recoil-induced resonances (RIR) [J. Guo, P. R. Berman, B. Dubetsky and G. Grynberg, Phys. Rev. A {\bf 46}, 1426 (1992)] and the collective atomic recoil laser (CARL) [ R. Bonifacio and L. De Salvo, Nucl. Instrum. Methods A {\bf 341}, 360 (1994)] are compared. Both theories can be used to derive expressions for the gain experienced by a probe field interacting with an ensemble of two-level atoms that are simultaneously driven by a pump field. It is shown that the RIR and CARL formalisms are equivalent. Differences between the RIR and CARL arise because the theories are typically applied for different ranges of the parameters appearing in the theory. The RIR limit considered in this paper is $qP_{0}/M\omega_{q}\gg 1$, while the CARL limit is $qP_{0}/M\omega_{q}\lesssim 1$, where $% q $ is the magnitude of the difference of the wave vectors of the pump and probe fields, $P_{0}$ is the width of the atomic momentum distribution and $% \omega_{q}$ is a recoil frequency. The probe gain for a probe-pump detuning equal to zero is analyzed in some detail, in order to understand how the gain arises in a system which, at first glance, might appear to have vanishing gain. Moreover, it is shown that the calculations, carried out in perturbation theory have a range of applicability beyond the recoil problem. Experimental possibilities for observing CARL are discussed.
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"abstract": "The theories of recoil-induced resonances (RIR) [J. Guo, P. R. Berman, B.\nDubetsky and G. Grynberg, Phys. Rev. A {\\bf 46}, 1426 (1992)] and the\ncollective atomic recoil laser (CARL) [ R. Bonifacio and L. De Salvo, Nucl.\nInstrum. Methods A {\\bf 341}, 360 (1994)] are compared. Both theories can be\nused to derive expressions for the gain experienced by a probe field\ninteracting with an ensemble of two-level atoms that are simultaneously driven\nby a pump field. It is shown that the RIR and CARL formalisms are equivalent.\nDifferences between the RIR and CARL arise because the theories are typically\napplied for different ranges of the parameters appearing in the theory. The RIR\nlimit considered in this paper is $qP_{0}/M\\omega_{q}\\gg 1$, while the CARL\nlimit is $qP_{0}/M\\omega_{q}\\lesssim 1$, where $% q $ is the magnitude of the\ndifference of the wave vectors of the pump and probe fields, $P_{0}$ is the\nwidth of the atomic momentum distribution and $% \\omega_{q}$ is a recoil\nfrequency. The probe gain for a probe-pump detuning equal to zero is analyzed\nin some detail, in order to understand how the gain arises in a system which,\nat first glance, might appear to have vanishing gain. Moreover, it is shown\nthat the calculations, carried out in perturbation theory have a range of\napplicability beyond the recoil problem. Experimental possibilities for\nobserving CARL are discussed.",
"arxiv_id": "physics/9809002",
"authors": [
"P. R. Berman"
],
"categories": [
"physics.atom-ph",
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],
"doi": "10.1103/PhysRevA.59.585",
"title": "Comparison of Recoil-Induced Resonances (RIR) and Collective Atomic Recoil Laser (CARL)",
"url": "https://arxiv.org/abs/physics/9809002"
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