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From Laser Induced Line Narrowing To Electromagnetically Induced Transparency in a Doppler-Broadened System

Ali Javan, Olga A. Kocharovskaya, Hwang Lee, Marlan O. Scully

Published Aug 1, 2001• 0 citations
OpenAlex

Abstract

Laser induced line narrowing effect in Doppler broadened systems was discovered thirty years ago. This effect can also be applied to recent experimental studies in high resolution spectroscopy or high precision measurements based on Electromagnetically Induced Transparency (EIT). In this report we derive an analytic expression for the linewidth of EIT resonance in a Doppler broadened system. It is shown here that the EIT linewidth is proportional to the Rabi frequency of the driving field and is independent of the Doppler width in a limiting case. This recovers the result found in the laser induced line narrowing effect by Feld and Javan. In the other limit, we recovers the usual power broadening case where the EIT linewidth is proportional to the intensity of the driving field and inversely proportional to the Doppler width.

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Physical Review•Jan 10, 1969•296 citations
Laser induced line narrowing effect in Doppler broadened systems was discovered thirty years ago. This effect can also be applied to recent experimental studies in high resolution spectroscopy or high precision measurements based on Electromagnetically Induced Transparency (EIT). In this report we derive an analytic expression for the linewidth of EIT resonance in a Doppler broadened system. It is shown here that the EIT linewidth is proportional to the Rabi frequency of the driving field and is independent of the Doppler width in a limiting case. This recovers the result found in the laser induced line narrowing effect by Feld and Javan. In the other limit, we recovers the usual power broadening case where the EIT linewidth is proportional to the intensity of the driving field and inversely proportional to the Doppler width.
We derive an analytic expression for the linewidth of electromagnetically induced transparency (EIT) resonance in a Doppler-broadened system. It is shown here that for relatively low intensity of the driving field the EIT linewidth is proportional to the square root of intensity and is independent of the Doppler width, similar to the laser-induced line narrowing effect described by Feld and Javan. In the limit of high intensity we recover the usual power-broadening case where the EIT linewidth is proportional to the intensity and inversely proportional to the Doppler width.
We show for the first time an explicit expression of the linewidth of an EIT resonance in an inhomogeneously broadened three-level (Lambda) system, and the conditions for the dependence of the linewidth on a driving field strength. Both gaseous systems with the Doppler effect and solid media in which inhomogeneity of the crystalline field results in a broad distribution of atomic center frequencies are considered. We find two extreme cases: in one extreme the linewidth of EIT resonance is proportional to the intensity of a drive laser. And in the other it is proportional to the Rabi frequency of a drive laser, which recovers the result obtained by Feld and Javan. The dispersive properties of EIT, leading to slow group velocity of light, in an inhomogeneously broadened system are also considered.
Electromagnetically induced transparency (EIT) can make an otherwise opaque medium transparent by utilizing quantum coherence. EIT has attracted great interest since the 1990s for its wide applications in metrology, nonlinear and quantum optics, and quantum information science. We present a review on spectral line narrowing mechanisms in EIT-related systems, accounting for linewidths much narrower than expected from the standard mechanisms of Doppler broadening, transit time broadening, magnetic field inhomogeneity and power broadening. Topics covered include Dicke narrowing, atomic-motion-induced Ramsey narrowing, motional narrowing, density narrowing, laser induced narrowing and power-broadening-free resonance. Intuitive pictures are provided to describe the essential physics of each mechanism.
We have investigated the spectra of the electromagnetically induced transparency (EIT) when a cell is filled with a buffer gas. Our theoretical results show that the buffer gas can induce a narrower spectra line and steeper dispersion than those of the usual EIT case in a homogeneous and Doppler broadened system. The linewidth decreases with the increase of the buffer gas pressure. This narrow spectra may be applied to quantum information processing, nonlinear optics and atomic frequency standard.
The line shape of a Doppler-broadened transition is dramatically altered by the presence of a laser field resonating with a second Doppler-broadened transition sharing a common level: Two narrow resonances of different widths appear superimposed upon the broad background signal at frequencies symmetrically located about the corresponding line center. The effect has already found application in a number of seemingly different though intimately related studies, including high-resolution hfs and isotope-shift determinations. The theory of the effect is developed with reference to these applications. The treatment is formulated in terms of transition rates induced by two classical fields resonantly interacting with a pair of coupled Doppler-broadened transitions of arbitrary frequencies. The perturbation approach adopted is valid for one field fully saturating its transition; the resulting line-shape expression exhibits important power-broadening effects. This approach is equivalent to the familiar density-matrix formulation, which is also presented. Various features of the resulting expression are discussed in detail as they apply to two precision spectroscopic applications, mode crossing and spontaneous emission line narrowing. The connection with previous work is also discussed.