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Physical Review A

Dynamics of an atom in an n -mode radiation field

Papri Saha

Published Aug 7, 2007• 0 citations
Publisher

Abstract

In this paper we study the evolution properties along with inversion phenomena of the resonance interactions of a single two-level atom with $n$-mode cavity fields. A general expression of the state for the $n$-mode field is presented. It is found that this atom-field interaction model obeys the Rabi oscillation.

DOI
10.1103/physreva.76.023804

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In this paper we study the evolution properties along with inversion phenomena of the resonance interactions of a single two-level atom with nnn-mode cavity fields. A general expression of the state for the nnn-mode field is presented. It is found that this atom-field interaction model obeys the Rabi oscillation.
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One of the simplest models involving the atom-field interaction is the coupling of a single two-level atom with single-mode optical field. Under the rotating wave approximation, this problem is reduced to a form that can be solved exactly. But the approximation is only valid when the two levels are resonant or nearly resonant with the applied electromagnetic radiation. Here we present an analytical solution without the rotating wave approximation and applicable to general atom-field interaction far away from the resonance. We find that there exists remarkable influence of the initial phase of optical field on the Rabi oscillations and Rabi splitting, and this issue cannot be explored in the context of the rotating wave approximation. Due to the retention of the counter-rotating terms, higher-order harmonic appears during the Rabi splitting. The analytical solution suggests a way to regulate and control the quantum dynamics of a two-level atom and allows for exploring more essential features of the atom-field interaction.