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Canadian Journal of Physics

Transient and steady-state behavior of single and two-photon absorption by microwave driven field

Seyyed Hossein Asadpour, HAMID RAHIMPOUR SOLEIMANI

Published Oct 28, 2013• 0 citations
Publisher

Abstract

In this paper, the effect of microwave field on the transient and steady state response of the four-level inverted Y-type atomic system is investigated. It is found that the properties of transient and steady processes can be affected by microwave field. It is found that the absorption spectrum behaves differentially for single-photon absorption and two-photon absorption. Also it is observed that in the one-photon absorption, the microwave field can lead to the probe gain and for two-photon absorption case, the strong microwave can enhance the absorption.

DOI
10.1139/cjp-2013-0480

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In this paper, the effect of microwave field on the transient and steady state response of the four-level inverted Y-type atomic system is investigated. It is found that the properties of transient and steady processes can be affected by microwave field. It is found that the absorption spectrum behaves differentially for single-photon absorption and two-photon absorption. Also it is observed that in the one-photon absorption, the microwave field can lead to the probe gain and for two-photon absorption case, the strong microwave can enhance the absorption.
We consider the one- and two-photon absorption spectra of a four-level Y-type atom with the two highest lying levels driven by a microwave field. We found that in the one-photon absorption case, the microwave field can lead to the probe gain, and the absorption and gain spectral structures depend strongly on the microwave field amplitude. For the two-photon absorption case, the strong microwave field can enhance the absorption. When the microwave field amplitude is reduced to a certain value, the single absorption peak in the two-photon spectrum changes into a structure of two-peak structure with different magnitudes. Moreover, the one- and two-photon absorption spectra can be modulated by the phase of the microwave field which produces a closed-loop configuration. Finally, we use the analytic solutions in terms of dressed-state basis to explain the results from our numerical calculation.
We investigate the influence of the vacuum-induced coherence on one- and two-photon absorption of the transient process in a four-level Y-type atomic system. We find that the one- and two-photon transient absorption and amplification properties are quite sensitive to the vacuum-induced coherence. It is also shown that the one- and two-photon absorption spectra of the transient process can be dramatically affected by modulating the relative phase of the applied fields. By appropriately choosing the relative phase, the amplification of the probe field can be achieved.
When the transitions connected by two nearly degenerate ground levels with an intermediate level in a four-level inverted Y-type atom interact with the same vacuum radiation field,which will lead to the quantum interference and create the vacuum-induced coherence.We find that the vacuuminduced coherence can suppress the single-and two-photon transparency at resonance and lead to single-photon probe gain at other frequency.Meanwhile,it is shown that the single-and two-photon absorption spectra can be drastically modulated by the relative phase between the probe and coupling fields.
Atomic coherence and interference play an important role in the study of the atom-photon interactions. Electromagnetically induced transparency (EIT) is an extensively studied two-photon coherence phenomenon theoretically as well as experimentally. EIT is mainly observed in three-level atomic systems which causes transparency by quenching absorption of the medium. In this paper, based on the lambda type three-level system including energy level |1>, |2> and |3>, a microwave driving field is introduced between the excited-state energy level |3> and another excited-state energy level |4> to form an inverted Y-type four-level system. We theoretically study the two- and three-photon coherence in this system. The results show that the coupling field makes the probing absorption intensity at the resonant frequency have a very narrow line-width depression, i.e., EIT. The microwave field causes a dynamic Stark splitting of the energy level |3> and induces the Aulter-Townes double peaks. Their frequency interval is exactly equal to the Rabi frequency of the microwave field. The presence of all three fields induces wide window of EIT at the line center owing to the enhanced depression results. The transient evolution is also discussed to understand the optical switching process in the system. Our theoretical study will be helpful to get a deeper insight into the three-photon effects in multilevel systems.
When a four-level Y\mathsf{Y}Y-type atom with two highest nearly degenerate lying levels interacts with the same vacuum radiation field, its excited levels have vacuum-induced coherence due to the quantum interference between the spontaneous decay channels. We consider the effects of the vacuum-induced coherence on the electromagnetically induced transparency against single- and two-photon absorption in the atomic system. We find that the vacuum-induced coherence can lead to probe gain without incoherent pumping. On the other hand, the coherence can suppress the two-photon transparency, even in some cases where it can enhance the two-photon absorption. Another important result is the finding of the crucial role played by the relative phase between the probe and coupling fields: the two-photon transparency and the probe gain spectra can be modulated by this phase.
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.