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Journal of Physics B Atomic Molecular and Optical Physics

Ultrafast coherent population transfer in two- and three-level quantum systems using sub-cycle and single-cycle pulses

Xunming Cai, Jingyun Zhao, Zhaoying Wang, Qiang Lin

Published Aug 7, 2013• 13 citations

Abstract

The interactions of sub-cycle and single-cycle pulses with two- or three-level quantum systems are studied, respectively. For the two-level quantum system, two cases in which the carrier frequency of pulses is in resonance and far from resonance with the atom are analysed. The ultrafast complete population transfer can be obtained. The sub-cycle pulse with a far off-resonant carrier frequency is found to be more suitable for the population transfer. The relation between the area of pulses and population transfer is clarified in the sub-cycle and single-cycle domain. For the Lambda-type three-level quantum system, more than 90% of population transfer can be achieved from one level to another. The scheme is insensitive to the variation of the laser parameters such as the peak Rabi frequency and the carrier frequency for both two- and three-level quantum systems.

DOI: 10.1088/0953-4075/46/17/175602

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The ultrafast particle population transfer in a ■-type three-level atomic system driven by linearly polarized chirped Gauss femtosecond laser pulse is investigated by using numerical solution of the Schrdinger equation without the rotating wave approximation(RWA).It is shown that the population transfer is mainly determined by the Rabi frequency(intensity) of the driving laser field and chirp rate,and the ratio of two dipole moments and the pulse width also have obvious effect on the population transfer.By choosing suitable values of the above parameters,nearly complete population transfer(99.6%) can be realized.

The poulation transfer and coherent population trapping of a three-level atom interacting with few cycle pulse train are studied.The density matrix equation in interation picture is numerical solved without rotating wave approximation.The research indicates that if a three-level atom interacts with a few cycle pulse train,the population transfer of level and the coherence of ground state will be gradual accumulated.When the repetition frequency of pulses is integer points of the ground-state splitting,the three atom interacts with pulse train can be seen as the atom interacts with two tenoning frequency of the frequency comb.So the system will be in the dark state and reach coherent population trapping.If the parameters of few-cycle pulse are appropriately selected,the coherence of three-level system will evolute into stable value in 0.5 nanosecond.The coherent population trapping in the three-level is generated.Comparing with the pulse that the pulse width is 100 femtoseconds,the build-up time of coherent population trapping by few cycle pulse train is shortened two orders of magnitude.When the ground-state splitting is wided enough and the carrier frequency of pulse is ω=(ω1+ω2)/2,where,are the atomic transition frequency,the doppler frequency shift that is aroused by the movement of atom won't destroy the coherent population trapping of atom.The reason is that all tenoning frequencies of the frequency comb have the same frequency shift,so the condition of coherent population trapping is still meeted.