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Physical Review A

Multiphoton absorption via chirped-pulse adiabatic passage: Dynamics within the excited-state manifolds

Y. B. Band

Published Dec 1, 1994• 23 citations
Publisher

Abstract

We study the dynamics of multiphoton-absorption chirped adiabatic passage (CHIRAP) in atoms, and show that the dynamics of the excited-state fine-structure transitions can be nonadiabatic even though the optical transfer to the highly excited electronic states is fully adiabatic. Hence, care must be taken to ensure that the dynamics is selective if multiphoton-absorption CHIRAP is to be used as a pump- ing mechanism to populate very-high-lying states that can serve as the pumping levels for uv lasers. We investigate the dynamics as a function of chirp rate and field intensity in the 5s $^{2}$${\mathit{S}}_{1/2}$\ensuremath{\rightarrow}5p $^{2}$${\mathit{P}}_{3/2}$\ensuremath{\rightarrow}5d $^{2}$${\mathit{D}}_{3/2}$,5d $^{2}$${\mathit{D}}_{5/2}$ rubidium system, and show that selectivity can be maintained despite the near degeneracy of the $^{2}$D manifold.

DOI
10.1103/physreva.50.5046

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We study the dynamics of multiphoton-absorption chirped adiabatic passage (CHIRAP) in atoms, and show that the dynamics of the excited-state fine-structure transitions can be nonadiabatic even though the optical transfer to the highly excited electronic states is fully adiabatic. Hence, care must be taken to ensure that the dynamics is selective if multiphoton-absorption CHIRAP is to be used as a pump- ing mechanism to populate very-high-lying states that can serve as the pumping levels for uv lasers. We investigate the dynamics as a function of chirp rate and field intensity in the 5s ^{2}$${\mathit{S}}_{1/2}\ensuremath{\rightarrow}5p ^{2}$${\mathit{P}}_{3/2}\ensuremath{\rightarrow}5d ^{2}$${\mathit{D}}_{3/2},5d ^{2}$${\mathit{D}}_{5/2} rubidium system, and show that selectivity can be maintained despite the near degeneracy of the 2^{2}2D manifold.
We study the dynamics of chirped adiabatic passage (CHIRAP) with temporally delayed pulses to selectively and fully transfer population in atoms and molecules. We show that the transfer of population via stimulated Raman adiabatic passage (STIRAP) and stimulated two-photon adiabatic absorption with temporally delayed laser pulses is not adversely affected by applying a chirp to the pulses, provided the intensity of the laser is sufficiently large to allow adiabatic passage. We then proceed to consider systems in which a near degeneracy of terminal state levels results in nonselective population of the terminal levels using nonchirped STIRAP or two-photon absorption stimulated passage, because the dynamics within the nearly degenerate pair of levels is not adiabatic. However, the CHIRAP process selectively populates only one of the terminal levels.
The chirped-pulse interaction in the adiabatic coupling regime induces cyclic permutations of the energy states of a three-level system in the VVV-type configuration, which process is known as the three-level chirped rapid adiabatic passage (RAP). Here we show that a spectral hole in a chirped pulse can turn on or off the level mixing at adiabatic crossing points of this process, reducing the system to an effective two-level system. The given hybrid adiabatic-nonadiabatic transition enables selective excitation of the three-level system, controlled by the laser intensity and spectral position of the hole, as well as the sign of the chirp parameter. Experiments performed with shaped femtosecond laser pulses and the three lowest energy levels (5S1/25{S}_{1/2}5S1/2​, 5P1/25{P}_{1/2}5P1/2​, and 5P3/25{P}_{3/2}5P3/2​) of atomic rubidium (Rb)(\mathrm{Rb})(Rb) show good agreement with the theoretically analyzed dynamics. The result indicates that our method, when being combined with the ordinary chirped RAP, implements an adiabatic transition between the Raman-coupled excited states. Furthermore, our laser intensity-dependent control may have applications including selective excitations of atoms or ions arranged in space when being used in conjunction with laser beam profile programming.
Coherent interactions between light fields and simple quantum systems, such as $\ensuremath{\pi}$-pulses and adiabatic passage through frequency chirps and stimulated Raman interactions, generally use one- or two-photon processes. This limits the use of such interactions to energy scales close to the photon energy of the control field. However, recent calculations have shown that a 3-level system, generic to ionized diatomic molecules, shows such a strong multiphoton coupling that $\ensuremath{\pi}$-pulses are possible on at least 12-photon transitions. In this paper, we show that adiabatic transfer of population is also possible on such high-order multiphoton transitions. Full one-dimensional quantum mechanical two-electron calculations confirm this effect even in a system with many excited states and an ionization continuum.
Generally, high optical intensity is required for effective multiphoton excitation of quantum systems to highly excited states. In certain situations, however, lower-intensity, chirped pulses can provide more efficient transfer of population to the upper states by the process of adiabatic passage. We have studied the relative importance of these two mechanisms in the anharmonic $5s\ensuremath{-}5p\ensuremath{-}5d$ quantum ladder system of rubidium using frequency chirped laser pulses from an amplified Ti:sapphire laser (\ensuremath{\lambda}=780 and \ensuremath{\Delta}\ensuremath{\lambda}=10 nm). We measure simultaneously the three-photon ionization signal due to the Ti:sapphire and the population that remains in the 5d5d5d state with a postionizing 532-nm Nd:YAG pulse (where YAG denotes yttrium aluminum garnet). At low infrared fluences (80 \ensuremath{\mu}J/cm2{\mathrm{J}/\mathrm{c}\mathrm{m}}^{2}J/cm2), the transfer to the 5d5d5d state is significantly enhanced when the pulse frequency is swept from the red to the blue, such that it follows the frequency spacing of the rubidium ladder. Counterintuitively, population is also transferred efficiently for the blue-to-red chirp at high fluences (>5 mJ/cm2{\mathrm{m}\mathrm{J}/\mathrm{c}\mathrm{m}}^{2}mJ/cm2). We attribute both of these effects to adiabatic passage from the 5s5s5s state to the 5d5d5d state. Even at the highest fluences, more efficient transfer occurs for either direction of chirp than occurs at zero chirp, where the intensity is maximal. A comparison to theoretical predictions reveals striking agreement in both absolute magnitude and functional form. These results have important implications for the understanding of population transfer in complex ladder systems, such as molecular anharmonic vibrational ladders.
Efficient population transfer by adiabatically chirping through a multiphoton resonance in microwave driven and kicked Rydberg atoms has recently been reported both experimentally and theoretically. Here we report on our simulations in which we have exploited this mechanism to vibrationally excite a diatomic molecule up to |ν = 4, J from the ground state by chirping through a four-photon resonance condition. This is an efficient means of population transfer, which is an alternative to the ladder climbing scheme requiring chirping through a sequence of states in the correct order. We discuss and compare one-dimensional quantum and classical models where there is no rotational degree of freedom. This comparison suggests that for the lowest laser intensity we consider, the process is classically forbidden and the transition occurs through tunnelling. We show that for larger peak intensities, the transfer can be looked upon as a classical transition in phase space, similar to that observed in the atomic case. We extend our simulations to fully three-dimensional quantum calculations and investigate the effect of coupling between different rotational pathways. We finally discuss the effect of thermal averaging over the initial J-states using a temperature for which the first few rotational levels inside the ν = 0 manifold are populated.
We show that the technique of Stark-chirped rapid adiabatic passage (SCRAP), hitherto used for complete population transfer between two quantum states, offers a simple and robust method for complete population transfer amongst three states in atoms and molecules. In this case SCRAP uses three laser pulses: a strong far-off-resonant pulse modifies the transition frequencies by inducing dynamic Stark shifts and thereby creating time-dependent level crossings amongst the three diabatic states, while near-resonant and moderately strong pump and Stokes pulses, appropriately offset in time, drive the population between the initial and final states via adiabatic passage. The population transfer efficiency is robust to variations in the intensities of the lasers, as long as these intensities are sufficiently large to enforce adiabatic evolution. With suitable pulse timings the population in the (possibly decaying) intermediate state can be minimized, as with stimulated Raman adiabatic passage (STIRAP). This technique applies to one-photon as well as multiphoton transitions and it is also applicable to media exhibiting inhomogeneous broadening; these features represent clear advantages over STIRAP by overcoming the inevitable dynamical Stark shifts that accompany multiphoton transitions as well as unwanted detunings, e.g., induced by Doppler shifts.