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arXiv:1309.7538 · Journal of Modern Optics

Multistate APLIP and VibLIP: from molecular bond extension to atomic transport

Kalle‐Antti Suominen

Published Jan 14, 2014• 6 citations
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Abstract

APLIP is a method for using a STIRAP-like three-state configuration with two laser pulses for continuous extension of a molecular bond, introduced in 1998. It is based on time-dependent light-induced potential surfaces (LIP). In VibLIP one extends the idea into a method for tailoring the vibrational state while changing the electronic state, introduced in 2000. Here I discuss the extension of both methods to situations that involve more than three electronic states, and note the possibility of using the method on adiabatic transport of atoms between microtraps or equivalent structures.

DOI
10.1080/09500340.2013.854423

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APLIP is a method for using a STIRAP-like three-state configuration with two laser pulses for continuous extension of a molecular bond, introduced in 1998. It is based on time-dependent light-induced potential surfaces (LIP). In VibLIP one extends the idea into a method for tailoring the vibrational state while changing the electronic state, introduced in 2000. Here I discuss the extension of both methods to situations that involve more than three electronic states, and note the possibility of using the method on adiabatic transport of atoms between microtraps or equivalent structures.
Summary form only given. We propose a method for achieving highly efficient transfer between the vibrational states in a diatomic molecule. The process is mediated by strong laser pulses and can be understood in terms of light-induced potentials. Light-induced potentials were also key to understanding APLIP (adiabatic passage by light induced potentials), where a wave packet is guided from one ground vibrational state to another. However, in the new process we show how to target specific vibrational states with strong short pulses. In addition to describing a specific molecular system, our results show how, in general, one can manipulate the populations of the different quantum states in double well systems.
This paper describes an investigation into the process of adiabatic passage by light-induced potentials (APLIP), which was previously suggested as a method for employing two strong picosecond laser pulses to transfer the population between two electronic states. We have extended earlier numerical studies in order to assess the feasibility of an experimental implementation of the APLIP concept. APLIP has been modeled in a three-level model system based on Na2 with chirped pulses, using laser parameters available from a typical chirped pulse amplified Ti:sapphire laser. The model showed that the APLIP process remains essentially unchanged for chirped pulses of equal magnitude and the opposite, or equal and positive sign of chirp as compared to the transform-limited case. We also examined the case of additional electronic states by introduction of a fourth state that lies close to the "target," i.e., final, state. The investigation showed that there are circumstances in which a significant fraction of the population gets transferred to this state which will disrupt the APLIP process. However, by switching to this fourth state as the target state in an experiment, good transfer efficiency is recovered. The results of the extension of the original APLIP modeling to chirped pulses and additional electronic states indicate that an APLIP experimental realization should be feasible in Na2.
Vibrationally selective population transfer in electronic transitions involving small Franck−Condon factors is studied by means of two-photon excitation with pulse sequences applied in counterintutive order. Depending on the intensity of the pulses, two schemes allow ultrafast adiabatic passage. Both schemes, called STIRAP and APLIP, are analyzed as a function of the geometry of the electronic states and of the time duration and intensity of the pulses that drive the transitions. Although both schemes imply adiabatic following, the APLIP scheme requires pulses of considerably larger intensity than STIRAP, hence operating in a strong adiabatic regime. Simple adiabatic criteria for high-quality transfer are proposed, and analytic proofs are provided that show under which conditions STIRAP and APLIP converge. The results of this paper are illustrated with numerical simulations for two different electronic transitions in the Na 2 molecule.
We demonstrate numerically the conditions where a wave packet adiabatic passage method yields optimal results for selective excitation of a vibrational level on excited electronic states in molecules. In a recent contribution Garraway and Suominen [Phys. Rev. Lett. 80, 932 (1998)] introduced the method of adiabatic passage by light-induced potentials (APLIP). Here we test and analyze the robustness of the APLIP process under realistic conditions for exciting the ground vibrational state of the Na2{\mathrm{Na}}_{2}Na2​ molecule to the ground vibrational level of the excited ${}^{1}{\ensuremath{\Sigma}}_{g}(4s)$ state. The spatial and temporal adiabaticity of the process assures the conservation of the vibrational quantum number during the passage and leads to the remarkable robustness of the method, which at some extent prevents the usual rotating-wave approximation to be employed.
We show that the vibrational state tailoring method developed for molecular systems can be applied for cold atoms in optical lattices. The original method is based on a three-level model interacting with two strong laser pulses in a counterintuitive sequence [M. Rodriguez et al., Phys. Rev. A 62, 053413 (2000)]. Here we outline the conditions for achieving similar dynamics with single time-dependent potential surfaces. It is shown that guided switching between diabatic and adiabatic evolution has an essential role in this system. We also show that efficient and precise tailoring of motional states in optical lattices can be achieved, for instance, simply by superimposing two lattices and moving them with respect to each other.