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EGAS41 - Swansea University

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41 st EGAS CP 3 Gdańsk 2009<br />

Population transfer in four-level atomic or molecular systems<br />

with far-optical transitions<br />

H.K. Avetissian 1,∗ , A. Brown 2 , G.F. Mkrtchian 1<br />

1 Centre of Strong Fields Physics, Yerevan State <strong>University</strong>, 1 A. Manukian,<br />

Yerevan 0025, Armenia<br />

2 Department of Chemistry, <strong>University</strong> of Alberta, Edmonton, AB, Canada T6G 2G2<br />

∗ Corresponding author: avetissian@ysu.am<br />

The possibilities to control quantum systems, e.g., to obtain desired coherent superposition<br />

states using external electromagnetic fields, have been studied intensively during the<br />

many decades since the period of development of the Nonlinear Optics and are considered<br />

nowadays because of their significance for implementation of contemporary problems in<br />

Quantum Informatics. The techniques which allow robust transfer of population between<br />

the specified states in quantum systems are of interest. From this point of view, adiabatic<br />

passage in atomic and molecular systems is a well established tool to achieve this goal.<br />

The main advantage of processes based on adiabatic passage is their relative robustness<br />

against the fluctuations of the characteristic parameters in experiments (such as the pulse<br />

area). However, the control of population transfer is problematic in quantum systems<br />

where the main transitions are at least in the UV domain. In these cases, the problem requires<br />

multiphoton excitation. The latter is effective if the energies of the excited states of<br />

a three-level atomic configuration are close to each other with a nonzero transition dipole<br />

moment [1], otherwise the states of the system should possess mean dipole moments [2].<br />

In the present work, we propose the multiphoton adiabatic population transfer mechanism<br />

in four-level systems with far-optical transitions via the two dipole coupled quantum<br />

states close to each other, or with a mean dipole moment in the excited states (for a three<br />

state system with this configuration, the multiphoton population transfer mechanism resembles<br />

“multiphoton STIRAP”, see [3, 4]). In the considered model systems, the two<br />

coupling laser fields induce multiphoton transitions between the initial and target states,<br />

which we call IMAP - induced multiphoton adiabatic passage. The time evolution of such<br />

systems is found analytically by the developed nonperturbative multiphoton resonant<br />

theory for atom-two strong waves interaction. Performing also numerical simulations, we<br />

show that by using two time-delayed-overlapping laser pulses it is possible to produce<br />

the complete population transfer in quantum systems with high energy transitions. The<br />

proposed IMAP schemes for four-level quantum systems of high energy transitions may<br />

have diverse applications for molecules or molecular ions, as well as for hydrogen-like<br />

atoms/ions with the required structure due to the Coulomb random degeneration.<br />

Acknowledgment<br />

This work was supported by International Science and Technology Center (ISTC) Project No.<br />

A-1307.<br />

References<br />

[1] H.K. Avetissian, G.F. Mkrtchian, Phys. Rev. A 66, 033403 (2002)<br />

[2] A. Brown, W.J. Meath, P. Tran, Phys. Rev. A 63, 013403 (2000)<br />

[3] H.K. Avetissian, G.F. Mkrtchian, ECAMP IX, Abstract Book Mo4-27 (2007)<br />

[4] A. Brown, Chemical Physics 342, 16 (2007)<br />

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