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Journal de Physique II

Adiabatic transfer in j ↦j and j ↦j - 1 transitions

Constance Valentin, Jin Yu, P. Pillet

Published Nov 1, 1994• 11 citations
Publisher

Abstract

Coherent transfer in multilevel systems by adiabatic passage through a trapped state has experimentally shown very different efficiencies for the two hyperfine components F = 4 ↦F' = 4 and F = 4 ↦F' = 3 of the cesium D2 line. If an efficiency up to 55 % is observed for mF = 4 ↦mF =- 4 population transfer with the F = 4 ↦F' = 4 component, it is never better than 25 % for the F = 4 ↦F' = 3 one. We report here a theoretical interpretation of these experimental results. We show in particular that the F = 4 ↦F' = 3 transition is much more sensitive to any diffused light, which can destroy totally the trapped state.

DOI
10.1051/jp2:1994240

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Coherent transfer in multilevel systems by adiabatic passage through a trapped state has experimentally shown very different efficiencies for the two hyperfine components F = 4 ↦F' = 4 and F = 4 ↦F' = 3 of the cesium D2 line. If an efficiency up to 55 % is observed for mF = 4 ↦mF =- 4 population transfer with the F = 4 ↦F' = 4 component, it is never better than 25 % for the F = 4 ↦F' = 3 one. We report here a theoretical interpretation of these experimental results. We show in particular that the F = 4 ↦F' = 3 transition is much more sensitive to any diffused light, which can destroy totally the trapped state.
We report an experimental observation of coherent population transfer in a multilevel system by adiabatic following through a trapped state. Raman transitions between ground-state sublevels are induced by two partially overlapping ${\mathrm{\ensuremath{\sigma}}}^{\ifmmode\pm\else\textpm\fi{}}$ polarized laser beams, tuned to the hyperfine transition F=4\ensuremath{\rightarrow}F'=4 of the cesium D2{\mathit{D}}_{2}D2​ line. An efficiency of more than 50% is observed for the mF{\mathit{m}}_{\mathit{F}}mF​=+4\ensuremath{\rightarrow}mF{\mathit{m}}_{\mathit{F}}mF​=-4 population transfer. The influence of other excited hyperfine levels on the transfer efficiency is pointed out. The feasibility of the technique with counterpropagating laser beams is also demonstrated.
We report the experimental realization of coherent population transfer from the 23S2{}^{3}S23S state to 23P2{}^{3}P23P fine-structure levels of helium, using the technique of hyper-Raman adiabatic passage, in which the pump-laser coupling involves a two-photon transition. We discuss the dependence of population transfer upon pump and Stokes detunings, and show that by suitably setting the detunings one can transfer population efficiently as either a two-step process to final states or as a single-step two-photon transition to an intermediate state. We use an adiabatic-state picture to interpret these experimental results. Since the optimum detuning depends on the pump laser intensity the transfer efficiency is compromised by the variation of the intensity across the spatial profile of the laser beam. Our experimental data agree well with numerical simulation based on density-matrix equations, including all 15 magnetic sublevels.
Ongoing work aimed at developing highly efficient methods of populating a chosen sublevel of an energy level highlights the need to understand off-resonant effects in coherent excitation. This motivated us to re-examine some aspects of the theory of coherent excitation in a three-state system with a view to obtaining algebraic expressions for off-resonant eigenvalues and eigenvectors. Earlier work gives simple closed-form expressions for the eigenvalues this system, expressions applying even when the system is not on two-photon resonance. We present here expressions of similar simplicity for the components of the normalised eigenvectors. The analytic properties of these components explain the observed sensitivity of the stimulated-Raman-adiabatic-passage process (STIRAP) to the condition of two-photon resonance. None of the eigenstates is ‘trapped’ or ‘dark’ unless the system is on two-photon resonance; off resonance, all states have nonzero projections on the unperturbed intermediate state. A simple argument shows that no dressed state can be adiabatically connected to both the unperturbed initial and final states when the system is off two-photon resonance. That is, adiabatic transfer from initial to final state requires that these be degenerate before and after the STIRAP pulse sequence, and this implies zero two-photon detuning. However, substantial transfer probabilities are observed experimentally for very small two-photon detunings. We show that such systems are characterised by very sharp avoided crossings of two eigenvalues, and that the observed population transfer can be understood as an effect of non adiabatic transitions occurring at the avoided crossings.
Different adiabatic passage methods are applied as part of a state mapping scheme in multilevel trapped systems. The aim is to achieve full population transfer from the rotational states of a trapped molecular ion to its translational states. Our analysis is based on numerical simulations with the master equation. We discuss how the resolved sideband condition, and spontaneous emission have an adverse effect on the efficiency for stimulated Raman adiabatic passage. Use of adiabatic rapid passage techniques, with two-photon Raman transitions results in higher efficiencies that can exceed 97%.
We present detailed experimental and theoretical results on population transfer with frequency-swept picosecond laser pulses. Here, we demonstrate that intense frequency-swept pulses, when applied in the adiabatic limit, lead to both more efficient and more selective excitation than do unmodulated laser pulses. The experimental work is performed on quasi-two-level systems (pentacene/p-terphenyl crystal and Na vapor), quasi-three-level systems (Na vapor), and on more complex multilevel systems (I2 vapor). We discuss the different characteristics of adiabatic population transfer in both few-level, and multilevel cases, and, in particular, present computer calculations to explore the effects of molecular rotations in multilevel adiabatic population transfer.
In this paper, we investigate the coherent control over a complex multilevel atomic system using the stimulated Raman adiabatic passage. Based on the example of 87Rb^{87}\mathrm{Rb}87Rb atoms, excited with circularly polarized light at the D1{D}_{1}D1​ line, we demonstrate the ability to decompose the system into three- and four-level subsystems independently interacting with light beams. Focusing on the four-level system, we demonstrate that the presence of an additional excited state significantly affects the dynamics of the system evolution. Specifically, it is shown that, through the appropriate tuning of the light beams, some of the transfer channels can be blocked, which leads to better control over the system. We also demonstrate that this effect is most significant in media free from inhomogeneous broadening (e.g., Doppler effect) and deteriorates if such broadening is present. For instance, the motion of atoms affects both the efficiency and selectivity of the transfer.