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Journal of Shandong University of Technology

The exact wave function of Schrdinger equation in the interaction of a three-level λ-type atom with two-mode

Guoli Li

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

The interaction of a three-level λ-type atom with two-mode,circularly polarized electromagnetic field is studied in this paper. In the dipole-approximation,the population of atomic states at arbitrary time is obtained by means of the exact wave function of Schrdinger equation.

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Semi-quantum or full-quantum electromagnetically induced transparency has been fully studied for three-level atoms in a weak field approximation method, where probe field is very wea ker than the coupling field. The weak field approximation is no t valid in full-quantum model where the number of coupling photons is not so large. In the present article, the master equations for the interaction of two-mode photons with a three-level Λ -type atom are exactly solved and the exact dispersion and absorption spectra for the probe beam photons are also obtained analytically. The results of the exact scheme are compared with the corresponding results in the weak field approximation method in full-quantum and semi-classi cal models.