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Communications in Theoretical Physics

Calculation of Microwave Multiphoton Transition Probability

Yong Li, Liu wenyul, Rao Jianguo, Baiwen Li

Published Jul 30, 1998• 0 citations
Publisher

Abstract

In a phenomenological two-level model, by using Floquet method, we directly calculate the multiphoton transition probability between the Rydberg states of an alkali-metal atom in strong microwave fields. The convergence of the truncated Floquet matrix, and the influences of parameters upon the multiphoton resonant spectra are discussed. The results show that our method can give clearer physical picture and better results about the multiphoton transition than indirect methods. Moreover, our method can easily be generalized to treat multi-level models.

DOI
10.1088/0253-6102/30/1/1

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In a phenomenological two-level model, by using Floquet method, we directly calculate the multiphoton transition probability between the Rydberg states of an alkali-metal atom in strong microwave fields. The convergence of the truncated Floquet matrix, and the influences of parameters upon the multiphoton resonant spectra are discussed. The results show that our method can give clearer physical picture and better results about the multiphoton transition than indirect methods. Moreover, our method can easily be generalized to treat multi-level models.
By a direct approach that is based on the Floquet method plus a kind of atomic potential model, we obtain the theoretical microwave threshold spectra with threshold fields and resonance fields that are in good agreement with the experimental ones. Our results confirm that the threshold fields do not exhibit smooth n dependence and show that, in general, the structure does not appear before the threshold field is achieved in the microwave threshold spectrum except for a few special cases. The explanation why the threshold fields do not exhibit a smooth n dependence and why the structure does not always appear before the threshold field is provided by our detailed theoretical calculations for the microwave threshold spectra.
We refine an earlier method for calculating the spectra of atoms and molecules in a strong microwave or laser field plus a static electric field. Results are reported for microwave resonance transition spectra of potassium for transitions from the 19s state at five choices of fixed microwave field strength (38, 68, 120, 152 and 193 V cm(-1)) as the static field strength is varied from 200 to 550 V cm(-1). More resonances have been found in the higher microwave field-strength theoretical spectra than previously found experimentally. An understanding of butterfly like structures in the plot of quasi-energy against static electric field strength has allowed an improved understanding of these novel features.
The time evolution of atomic and molecular systems driven by periodic external fields is reformulated to combine Floquet's theorem with time-dependent representations of the atomic degrees of freedom. This approach increases the flexibility of Floquet calculations of multiphoton processes in strong radiation fields, particularly at low frequencies, by incorporating adiabatic states into the basis. The depopulation of Rydberg states of He and Na in strong microwave fields illustrates the utility of the method. In particular, a study of the depopulation of the 11s state of Na in an oscillatory field reveals a strong correspondence between dc-field Stark maps and quasienergy spectra and predicts a resonance feature associated with Landau-Zener transitions between dc Stark levels.