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Physical Review A

Chirped adiabatic passage with temporally delayed pulses

Y. B. Band, O. Magnes

Published Jul 1, 1994• 60 citations
Publisher

Abstract

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.

DOI
10.1103/physreva.50.584

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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.
We review and compare recent experiments and theoretical models demonstrating complete population transfer to selected states in atoms and molecules using (1) Stimulated Raman Adiabatic Rapid Passage (STIRAP) with temporally delayed but partially overlapping time dependent fundamental and Stokes fields and (2) Chirped Adiabatic Passage (CHIRAP) using frequency chirped field with the frequency swept through the resonance frequency of transitions. The transfer efficiency in these processes is unity when the adiabatic criteria are satisfied. Alignment and orientation of the initial and terminals levels of the transitions can be obtained using these methods. The dynamics involve the atomic or molecular internal angular momentum states because the Rabi frequencies for the transitions depend on the magnetic quantum numbers of the states. Full wavefunction and density matrix (necessary when spontaneous emission of the excited states plays a role) calculations are presented and adiabatic-following wavefunction and density matrix descriptions are advanced to explain unexpected experimental results.
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^{2}2S1/2{\mathit{S}}_{1/2}S1/2​\ensuremath{\rightarrow}5p 2^{2}2P3/2{\mathit{P}}_{3/2}P3/2​\ensuremath{\rightarrow}5d 2^{2}2D3/2{\mathit{D}}_{3/2}D3/2​,5d 2^{2}2D5/2{\mathit{D}}_{5/2}D5/2​ rubidium system, and show that selectivity can be maintained despite the near degeneracy of the 2^{2}2D manifold.
In this paper we extend the existing theory of stimulated Raman adiabatic passage (StiRAP) in three-level systems to examine the nature of selective photoexcitation using counterintuitively ordered pulses. Our goal is to develop a version of StiRAP that permits control of product selectivity in a chemical reaction. We analyze the case of selective excitation to one state in a pair of degenerate target states in a four-level system, and find that one cannot control the ratio of the populations in the two states in a resonant two-photon process. However, the extension of the system to include a fifth state and a third laser field makes selective excitation to one of the degenerate states possible. It is found that, subject to reasonable restrictions, one may accomplish complete population transfer to a single target state of a degenerate pair of states in a five-level system.
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.
We have considered a coherent population transfer to a higher excited singlet state ( S2 ) of molecules with anomalous fluorescence in molecular assemblies (e.g., a dense medium). A direct excitation to S2 requires light in the UV region. Because of this, the transition is conveniently realized by a two-step (two-photon) process: S0→S1→S2 , where transitions S0→S1 and S1→S2 correspond to the optical region. We have shown that efficient stimulated Raman adiabatic passage (STIRAP) in the ladder configuration can be realized in this case, using suitably chirped pulses, to compensate a change of the two-photon transition frequency in time, induced by the pulses themselves, due to near dipole-dipole interactions. We have provided a reduced state formulation of the optical control process. Chirping the “pump” pulse that excites transition S0→S1 is nonequivalent to chirping the “Stokes” pulse that excites transition S1→S2 , with respect to the population of the intermediate state ( S1 ) in the pulse nonadiabatic regime. We have also shown that with suitably chirped pulses, efficient STIRAP still persists even for a rather large decay of the intermediate state.
We explore theoretically the rovibrational dynamics of stimulated Raman adiabatic passage (STIRAP) in molecular electronic states including both the rotational and the vibrational degrees of freedom, with the LiH molecule as an example. By using a pure rovibrational state as initial state, we find that, under the condition of two-photon resonance, an efficient rovibrational population transfer can be achieved via STIRAP in molecular electronic states and the desired target state can be selected by adjusting laser-pulse parameters. Besides the interested rovibrational states, however, some unwanted rovibrational states may affect population transfer process, especially while the two-photon detuning is taken into account. By inspecting the evolution process of wave packet, we can easily search these unwanted rovibrational states and study their influences. Moreover, the effect of rotational temperature on the population transfer process is discussed using thermal mixed state as initial state.