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Chinese journal of atomic and molecular physics

Excitation of potassium atoms in a slow frequency-modulated field

Huili Han

Published Jan 1, 2005• 0 citations
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Abstract

Using the time-dependent multilevel approach (TDMA), we have calculated the square wave oscillation of the excited Rydberg potassium atoms in the presence of the microwave field, the static electric field and the radio-frequency (rf) field. After changing the frequency, amplitude of the microwave and the static electric field, and replacing the slow radio-frequency (rf) cosine wave with the slow radio-frequency (rf) sawtooth wave, we have also studied the change of the square wave oscillation and got some interesting results, and the theoretic explanation of these results were given.

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Using the time-dependent multilevel approach (TDMA), we have calculated the square wave oscillation of the excited Rydberg potassium atoms in the presence of the microwave field, the static electric field and the radio-frequency (rf) field. After changing the frequency, amplitude of the microwave and the static electric field, and replacing the slow radio-frequency (rf) cosine wave with the slow radio-frequency (rf) sawtooth wave, we have also studied the change of the square wave oscillation and got some interesting results, and the theoretic explanation of these results were given.
Using the time-dependent multilevel approach(TDMA), we have calculated the square wave oscillation of the excited Rydberg potassium atoms in the presence of the microwave field, the static electric field and the radio-frequency(rf)field. Through changing the phase of the radio-frequency(rf)field and replacing the slow radio-frequency(rf) cosine sawtooth wave with the slow radio-frequency(rf) sawtooth wave, we have studied the change of the square wave oscillation and got some interesting results, and the theoretic explanation of these results are given.
By using the B -spline expansion technique and a model potential of the alkali atoms, the properties of frequency-modulated excitation of Rydberg potassium atoms in a static electric field and a microwave field are investigated by using the time-dependent two-level approach. We successfully reproduce the square wave oscillations in the low frequency, the stair step population oscillations in the intermediate frequency, and the multiphoton transitions in the high frequency with respect to the unmodulated Rabi frequency, which have been observed experimentally by Noel et al. [ Phys. Rev. A 58 2265 (1998) ]. Furthermore, we also numerically obtain the discretized Rabi oscillations predicted in the Landau—Zener accumulation model.
A time-dependent perturbation method is proposed to study the properties of the frequency-modulated excitation of a potassium atom. Rabi oscillations in the absence of a modulation, square-wave oscillations in the presence of slow modulation, and radio-frequency multiphoton resonances in the presence of fast modulation have been calculated using this method. The numerical results are in excellent agreement with those of the experiment; novel explanations have been given to understand some of the experimental results.
By using the B-spline expansion technique and a model potential of the alkali atoms, the properties of frequency- modulated excitation of Rydberg potassium atoms in a static electric field and a microwave field are investigated by using the time-dependent two-level approach. We successfully reproduce the square wave oscillations in the low frequency, the stair step population oscillations in the intermediate frequency, and the multiphoton transitions in the high frequency with respect to the unmodulated Rabi frequency, which have been observed experimentally by Noel et al. [Phys. Rev. A 58 2265 (1998)]. Furthermore, we also numerically obtain the discretized Rabi oscillations predicted in the Landau-Zener accumulation model.
The time-dependent multilevel approach (TDMA) and B-spline expansion technique are used to study the coherent population transfer between the quantum states of a potassium atom by a single frequency-chirped microwave pulse. The Rydberg potassium atom energy levels of n = 6–15, l = 0–5 states in zero field are calculated and the results are in good agreement with other theoretical values. The time evolutions of the population transfer of the six states from n = 70 to n = 75 in different microwave fields are obtained. The results show that the coherent control of the population transfer from the lower states to the higher ones can be accomplished by optimizing the microwave pulse parameters.