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Molecules

Shaped Microwave Field in a Three-Level Closed Loop Dense Atomic System

Nadia Boutabba, Hazrat Ali

Published Feb 23, 2023• 0 citations
Publisher

Abstract

In this work, we investigate the atomic properties of a three-level system under the effect of a shaped microwave field. The system is simultaneously driven by a powerful laser pulse and a weak constant probe that drives the ground state to an upper level. Meanwhile, an external microwave field drives the upper state to the middle transition with shaped waveforms. Hence, two situations are considered: one in which the atomic system is controlled by a strong laser pump and a classical constant microwave field, and another in which both the microwave and pump laser fields are shaped. Finally, for sake of comparison, we investigate the tanh-hyperbolic, the Gaussian and the power of the exponential microwave form in the system. Our results reveal that shaping the external microwave field has a significant impact on the absorption and dispersion coefficient dynamics. In comparison with the classical scenario, where usually the strong pump laser is considered to have a major role in controlling the absorption spectrum, we show that shaping the microwave field leads to distinct results.

DOI
10.3390/molecules28052096

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In this work, we investigate the atomic properties of a three-level system under the effect of a shaped microwave field. The system is simultaneously driven by a powerful laser pulse and a weak constant probe that drives the ground state to an upper level. Meanwhile, an external microwave field drives the upper state to the middle transition with shaped waveforms. Hence, two situations are considered: one in which the atomic system is controlled by a strong laser pump and a classical constant microwave field, and another in which both the microwave and pump laser fields are shaped. Finally, for sake of comparison, we investigate the tanh-hyperbolic, the Gaussian and the power of the exponential microwave form in the system. Our results reveal that shaping the external microwave field has a significant impact on the absorption and dispersion coefficient dynamics. In comparison with the classical scenario, where usually the strong pump laser is considered to have a major role in controlling the absorption spectrum, we show that shaping the microwave field leads to distinct results.
Abstract This paper describes a theoretical study of the optical responses of an atomic medium to the probe field in a four-level (Δ + ∇)-type closed-contour interaction system driven by two pump laser fields (P1, P2), one probe laser field (Pr) and two microwave or radio frequency (RF) coupling fields (L, U). Here, L and U are considered to connect the forbidden electric dipole transitions, i.e. two hyperfine ground states of the Δ subsystem and two hyperfine excited states of the ∇ subsystem, respectively. Since each subsystem is a closed-loop system, relative phases are thought to be present between the optical fields (pump and probe fields), and the microwave or RF fields. The manipulation of the quantum coherence of the system by the strengths of coupling fields along with the relative phases is demonstrated in terms of the changes occurring in the absorption of the probe field by the medium. The probe absorption and dispersion profiles are extracted by numerically solving the optical Bloch equations for the system under steady-state conditions. In this study, we start by illuminating the system with the probe only, and then, by applying the pump fields and the coupling fields one by one, the changes in the absorptive and dispersive probe line profiles are investigated for two distinct cases that depend on the relative strengths of the pump fields, e.g. when P2 is stronger than P1 and vice versa. Furthermore, the individual effects of the strengths and phases of the coupling fields on the probe absorption, transparency and amplification are also explored for both cases. All the changes that appear in the probe signal as a result of the application of different fields are explained by the modified interaction fields or the corresponding effective Rabi frequencies obtained from the partial dressed-state analysis.
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.
Abstract In this work, we investigate the dispersion-absorption spectra in a left handed medium under various magnetic shaped pulses. The system is a multi-level atom, in which the levels are coherently controlled by a weak and a strong field. Additionally, the ground state is related to an intermediate transition via a magneto-shaped field.We analyze the four level atom while first by considering the magnetic field as a quotient of the double exponential wave form, a difference of Gaussian and then as a continuous wave form. This enables us to study the dynamics of the coherence in the system. therefore, in contrast with the classical scenario where the magnetic field is taken as a constant, we observe a clear influence of the shaped magnetic field on the dispersion-absorption of the probe. We get an enhancement of about 2.5 times in the positive dispersion while we obtain 8 times enhancement in the negative dispersion. Lastly, with a shaped magnetic field, the probe dispersion, which is positive for a positive detuning and negative for a negative detuning, abruptly changes in the opposite direction.
A fast laser pulse with a q-deformed hyperbolic function shape is investigated in a Multi-level atomic system. Therefore, we first derive the exact solution of the Bloch equations describing a two-level atom excited by a q-deformed laser pulse with dephasing and time-dependent detuning. Next, we analyze the dynamic of the atomic population inversion at resonance and off-resonance of a Rubidium 87 three-level atom driven by a classical weak field and a strong q-deformed control laser. Finally, in order to get a deeper insight of the probe field's absorption and dispersion properties, we investigate the coherence's dependence on the q-deformation. Our work demonstrates that, the dynamic of the atomic system can be fully controlled through the manipulation of the asymmetry scaling parameter q of the q-deformed hyperbolic laser wave-form.
Weak probe-pulse propagation is studied in a three-level atomic system irradiated by a strong control laser field and a strong microwave field in the closed-loop triangular (Δ) configuration. In addition to the direct absorption channel, a second channel is activated in which a probe photon’s absorption is replaced by its emission accompanied by an absorption of two control and two microwave photons. The pulse can be considered a superposition of two components, each of which experiences a separated effective susceptibility, exhibiting its absorption/gain windows. The evolution of the pulse spectrum in space and the pulse evolution in space–time are discussed. In particular it is shown that the number and positions of the spectrum peaks change and the pulse exhibits beats. In addition to the propagating field, a stationary light generated by the sample is also discussed.
The subject of this work is the propagation of a weak probe pulse in an atomic medium in a three-level closed-loop configuration. An atomic system is irradiated with two strong control fields: optical and microwave. Two channels for the probe field are activated: (i) absorption of a probe photon and (ii) emission of a probe photon with the simultaneous absorption of two control and two microwave photons. We analyse in detail the pulse spectrum and its time–space evolution taking into account the generation of light by the atomic sample. In particular, we study interference effects due to the relative phase of the applied fields. In contrast to other papers, we do not make the assumption of net (three photon) resonance.