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Wuhan University Journal

The Atom-Lifetime in a Circularly Polarized Electromagnetic Wave

Xiong Zhi

Published Jan 1, 2000• 0 citations
OpenAlex

Abstract

Based on this solution for Schrǒdinger equation, the atom lifetime in an electromagnetic wave of circular polarization is studied. When the frequency of a circularly polarized electromagnetic wave is equal to the atomic frequency, the atom lifetime of tow level atom is not influenced by the electromagnetic wave. For a ∧ type three level atom in a circularly polarized electromagnetic wave, we modulate the frequency of the electromagnetic wave to study the atom lifetime and show that the approximate condition in this paper is rational.

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Based on this solution for Schrǒdinger equation, the atom lifetime in an electromagnetic wave of circular polarization is studied. When the frequency of a circularly polarized electromagnetic wave is equal to the atomic frequency, the atom lifetime of tow level atom is not influenced by the electromagnetic wave. For a ∧ type three level atom in a circularly polarized electromagnetic wave, we modulate the frequency of the electromagnetic wave to study the atom lifetime and show that the approximate condition in this paper is rational.
We study the stimulated emission of a two-level atom in an electromagnetic wave of circular polarization. The correlation function G ( r 1 t , r 2 t ) = ⟨ E - E + ⟩ of atom radiation fields at dipole approximation are computed. Under the resonance condition, the atom stimulated emission is influenced by the circularly polarized electromagnetic wave discussed. We have found that the time-averaged value of energy density does not depend on the initial conditions. We have also deduced the relation between the emission power of an atom and the Rabi frequency Ω.
In this paper, we study the behavior of a two-level atom in an electromagnetic wave of circular polarization. A general solution to the Schr\"odinger equation is obtained, and the action of the electromagnetic wave on the atom is analyzed in detail. It is shown that the levels of the atom would be split, with the energy difference between the split levels the same for the two states of the atom. The atom would acquire an average momentum, with its direction the same as the propagating direction of the electromagnetic wave, showing the expelling action of the electromagnetic wave on the atom; or with its direction opposite to the propagating direction of the electromagnetic wave, showing the trapping action of the electromagnetic wave on the atom. The properties of the action are dependent on the initial state of the atom. The average expelling and trapping forces exerted on the atom by the electromagnetic wave are determined. Two cases of ``resonance'' and ``strict detuning'' are discussed particularly. Under the resonance case, the transition probability reaches its maximum for a given time. In the strict detuning case, the atom is not influenced by the electromagnetic wave.
We study the stimulated emission of a two-level atom in an electromagnetic wave of circular polarization. The correlation function G(r1t,r2t)=(E^-E^+) of atom radiation fields at dipole approximation are computed. Under the resonance condition, the atom stimulated emission is imfluenced by the circularly polarized electromagnetic wave discussed. We have found that the time-averaged value of energy density does not depend on the initial conditions. We have also deduced the relation between the emission power of an atom and the Rabi frequency Ω.