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Results in Physics

Quantum control of an optically dense atomic medium: Pulse shaping in a V-type three-level system

Nadia Boutabba, Hichem Eleuch

Published Sep 24, 2020• 14 citations
Publisher

Abstract

In this paper, we suggest a straight-forward technique to control the atomic population inversion in a three-level dense medium based on the pulse shaping with a phase-jump. A strong stokes field and two weak probe fields excite the atomic medium via the V-type configuration. First, we reveal that the atomic population inversion is accomplished under a shaped pulse. Second, we show that this is significantly improved by including a phase-jump in the pulse profile. Finally, we suggest a typical combined shape and phase in order to control the dynamics of the atomic population inversion.

DOI
10.1016/j.rinp.2020.103421

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In this paper, we suggest a straight-forward technique to control the atomic population inversion in a three-level dense medium based on the pulse shaping with a phase-jump. A strong stokes field and two weak probe fields excite the atomic medium via the V-type configuration. First, we reveal that the atomic population inversion is accomplished under a shaped pulse. Second, we show that this is significantly improved by including a phase-jump in the pulse profile. Finally, we suggest a typical combined shape and phase in order to control the dynamics of the atomic population inversion.
In this study, we control a three-level atomic system using a typical strong control field with a modified quotient double exponential form (modified QEXP). The considered atomic configuration is a V-type three-level system in which QEXP is applied between the ground and excited states. Atomic population inversion can be achieved by selecting specific shaped pulses. In addition, we control the temporal atomic coherence of the system for a spectrum of waveforms and derive both absorption and dispersion spectra. Compared to a continuous wave control field, the proposed modified QEXP pulse achieves an electromagnetically induced transparency window in the absorption spectrum.
We apply an optimal control technique (OCT) to design a secondary coupling pulse that can control the amplification of a given primary optical pulse in a dense media of coherently prepared three-level \ensuremath{\lambda}-type atoms without population inversion. Effects of pulse absorption, amplification, and reshaping by the medium are incorporated in the OCT. We demonstrate numerically that shape-invariant as well as shape-distorted amplification without population inversion can be achieved by properly designing the shape of the coupling pulse. The maximum amplification obtainable is shown to be dependent on the initial atomic coherence as well as the upper bound of the coupling pulse intensity. The group velocity of the primary pulse can also be controlled by the coupling pulse. \textcopyright{} 1996 The American Physical Society.
We demonstrate a population inversion in a three-level system via three-photon absorption from a single shaped ultrafast laser pulse. The optimal pulse shape for the inversion is discovered using closed-loop learning control and interpreted via pulse shape parameter scans and numerical integration of the Schrödinger equation. The population inversion is measured using a combination of spontaneous and stimulated emissions. Our results illustrate the importance of dynamic Stark shifts in coherent multi-photon excitation.
A strong nonresonant, asymmetric ultrashort pulse drives an atomic transition and causes a complete population inversion because of a sudden nonadiabatic jump. This jump is probed in real time by propagating a weak ultrashort pulse in the system which is resonant on an adjacent transition. The probe at the exit of the medium presents an oscillatory structure with the nonadiabatic jump marked in time by the onset of oscillations. The nonadiabatic jump thus acts as a ``turn-on'' switch for the shaping of the probe.
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.