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AIP conference proceedings

Optimal Bichromatic Two-Photon Excitation with Near-Resonant Chirped Pulses

Carles Serrat, Jens Biegert, Theodore E. Simos, George Maroulis

Published Jan 1, 2007• 1 citation
Publisher

Abstract

We investigate a method for creating complete population inversion in a three level system by using bichromatic two‐photon coherent excitations with laser pulses, and study the dependence of the optimal population transfer on the chirp of the pulses. We observe that the population inversion does not monotonously decrease with increasing the time‐bandwidth product, and that the excitation depends on the sign of the chirp of the individual pulses. Our results, which evidence a worthwhile strategy for coherent population transfer in three level systems, are particularized to the level structure of atomic sodium, with regard to applications in bichromatic mesospheric guide stars.

DOI
10.1063/1.2836212

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We investigate a method for creating complete population inversion in a three level system by using bichromatic two‐photon coherent excitations with laser pulses, and study the dependence of the optimal population transfer on the chirp of the pulses. We observe that the population inversion does not monotonously decrease with increasing the time‐bandwidth product, and that the excitation depends on the sign of the chirp of the individual pulses. Our results, which evidence a worthwhile strategy for coherent population transfer in three level systems, are particularized to the level structure of atomic sodium, with regard to applications in bichromatic mesospheric guide stars.
We investigate a method for complete population inversion in three level systems through pi-pulse bichromatic two-photon coherent excitation and study the dependence on the chirp of the laser pulses. We observe that the population inversion does not monotonously decrease with increasing the time-bandwidth product, and that the excitation depends on the sign of the chirp of the individual pulses. Our results evidence a strategy for coherent population transfer which is energetically superior to adiabatic methods and opens the door for real-world applications, since it alleviates the need for challenging generation of transform-limited pulses at arbitrary wavelengths.
Adiabatic passage induced by chirped laser pulses in three-level $\ensuremath{\Lambda}$ systems is investigated. Two different strategies for efficient population transfer (equal and opposite sign of the chirp) are analyzed. The role of detuning, crucial for the attempt to reduce the population of the intermediate state, is demonstrated. The scheme of adiabatic passage by laser pulses with chirps of different sign is not symmetric with respect to the sign of the one-photon detuning. Blue detuning results in a smaller transient population of the intermediate state than does red detuning. The results are explained on the basis of dressed states. Numerical results for a fully off-resonant adiabatic passage scheme, based on two pulses with the same sign of the chirps, are also considered. The robustness of the schemes in terms of the Rabi frequency, chirp rate, detuning, and time delay of the pulses is explored.
Abstract This study demonstrates complete adiabatic population transfer in a closed three-level atomic system using chirped laser pulses. By satisfying the three-photon resonance condition, we effectively mitigate the first-order Doppler effect. Under the assumption of weak coupling between the stable levels, we show that relative phase fluctuations of the lasers exert a negligible influence on the population dynamics during the transfer process. A comprehensive analysis of the system parameters is conducted to determine the optimal conditions for achieving 100% population transfer while minimizing the excited state population
A new scheme for coherently pumping two-photon transitions is demonstrated theoretically-It is shown that a total inversion can be achieved by using a pair of bichromatic ultrashort pulses tuned close to an intermediate resonance. The proximity of the intermediate resonance greatly enhances the efficiency of the process, making it possible to reach total inversion with energy densities of the order of microjoules per square centimeter. At the same time, the resonance conditions are controlled in such a way that at no time a dipole moment is created (the off-diagonal elements corresponding to dipole transitions remain <0.1).
We show that optimal detuning method describing population transfer passage in a three‐level system has an essential difference from the adiabatic following passage by counterintuititive sequence of two coherent laser pulses, by examining the dressed eigenstates and the Bloch vector precessing around a torque vector. In a four‐level Λ system, population dynamics is studied for the case where, on the optimal detuning condition, two‐photon coherences causing adiabtic transfer interfere each other. For a scheme of three degenerate levels, we show a possibility of complete population inversion by the optimal detuning method.
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.