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Chinese Physics

Raman scattering in a four-level atomic system with hyperfine structure

Jiahua Li, Wen‐Xing Yang, Peng Ju-Cun

Published Mar 17, 2005• 6 citations
Publisher

Abstract

We propose and analyse an efficient Raman scheme for suppressing the absorption of a weak probe beam in a typical four-level atomic system with a nearly hyperfine doublet structure of two higher-lying excited levels for the two cases of transient regime and steady-state process. For the transient process, using the numerical calculations by a nice MATHEMATICA code, we find that the magnitude of the probe absorption at line centre of the probe transition is small compared to the standard three-level atomic system based on electromagnetically induced transparency (EIT). In particular, our results show that the probe absorption can be completely eliminated under the condition of Raman resonance, i.e. we only require that two-photon detuning is zero within the range of the hyperfine two-level frequency gap for the case of the steady state. In contrast to the standard three-level EIT scheme, one of the key advantages of our four-level Raman scheme is that under the Raman resonance condition we can observe one transparency window without the need of exact vanishing of one- and two-photon detuning. As a consequence, the atomic hyperfine structure cannot be a hindrance for obtaining EIT.

DOI
10.1088/1009-1963/14/4/020

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We propose and analyse an efficient Raman scheme for suppressing the absorption of a weak probe beam in a typical four-level atomic system with a nearly hyperfine doublet structure of two higher-lying excited levels for the two cases of transient regime and steady-state process. For the transient process, using the numerical calculations by a nice MATHEMATICA code, we find that the magnitude of the probe absorption at line centre of the probe transition is small compared to the standard three-level atomic system based on electromagnetically induced transparency (EIT). In particular, our results show that the probe absorption can be completely eliminated under the condition of Raman resonance, i.e. we only require that two-photon detuning is zero within the range of the hyperfine two-level frequency gap for the case of the steady state. In contrast to the standard three-level EIT scheme, one of the key advantages of our four-level Raman scheme is that under the Raman resonance condition we can observe one transparency window without the need of exact vanishing of one- and two-photon detuning. As a consequence, the atomic hyperfine structure cannot be a hindrance for obtaining EIT.
In this paper, we analyze and discuss the absorption properties of the probe beam in a four-level atomic system with a nearly hyper-fine doublet structure of two higher-lying excited levels based on electromagnetically induced transparency (EIT) for the two cases of transient process and steady-state process. The main gain of this work is to investigate theoretically the influence of the nearly hyper-fine levels on the probe absorption. For the transient process,using the numerical calculations by a simple Mathematica code we find that the magnitude of the probe absorption at the line center is small compared to the typical three-level atomic system in the context of electromagnetically induced transparency. For the case of the steady state, our results show that the probe absorption can be completely eliminated at the line center of the probe transition just as the usual three-level EIT scheme.
In this paper, we analyze and discuss the absorption properties of the probe beam in a four-level atomic system with a nearly hyper-fine doublet structure of two higher-lying excited levels based on electromagnetically induced transparency (EIT) for the two cases of transient process and steady-state process. The main gain of this work is to investigate theoretically the influence of the nearly hyper-fine levels on the probe absorption. For the transient process, using the numerical calculations by a simple Mathematica code we find that the magnitude of the probe absorption at the line center is small compared to the typical three-level atomic system in the context of electromagnetically induced transparency. For the case of the steady state, our results show that the probe absorption can be completely eliminated at the line center of the probe transition just as the usual three-level EIT scheme.
We propose and analyze an efficient scheme for suppressing the absorption of a weak probe field based on intersubband transitions in a four-level asymmetric coupled quantum well (CQW) driven coherently by a probe laser field and a control laser field. We study the steady-state process analytically and numerically, and our results show that the probe absorption can be completely eliminated under the condition of Raman resonance (i.e. two-photon detuning is zero). Besides, we can observe one transparency window without requiring one- or two-photon detuning to exactly vanish. This investigation may provide a possible scheme for EIT in solids by using the CQW.
We propose and analyze an efficient scheme for suppressing the absorption of a weak probe field based on intersubband transitions in a four-level asymmetric coupled-quantum well (CQW) driven coherently by a probe laser field and a control laser field. By using the numerical simulation, we find that the magnitude of the transient absorption of the probe field is smaller than the three-level system based on the electromagnetically induced transparency (EIT) at line center of the probe transition, moreover, comparing with the scheme in three-level asymmetric double QW system, the transparency hole of the present work is much broader. By analyzing the steady-state process analytically and numerically, our results show that the probe absorption can be completely eliminated under the condition of Raman resonance (i.e. two-photon detuning is zero). Besides, we can observe one transparency window without requiring one- or two-photon detuning exactly vanish. This investigation may provide the possible scheme for EIT in solids by using CQW.
We discuss and analyze absorption-dispersion response for the probe field in a typical four-level atomic system with vacuum-induced coherence (VIC) arising from the cross coupling pathways associated with a pair of upper excited hyperfine levels. We find that VIC effect can preserve electromagnetically induced transparency (EIT) by using the detailed numerical simulations based on the density-matrix equations and analytical calculations in the dressed-state picture. We also show that the atomic hyperfine structure cannot be a hindrance to obtaining EIT.
We discuss and analyze absorption-dispersion response for the probe field in a typical four-level atomic system with vacuum-induced coherence (VIC) arising from the cross coupling pathways associated with a pair of upper excited hyperfine levels. We find that VIC effect can preserve electromagnetically induced transparency (EIT) by using the detailed numerical simulations based on the density-matrix equations and analytical calculations in the dressed-state picture. We also show that the atomic hyperfine structure cannot be a hindrance to obtaining EIT.