Simple Approach to the Solution of a Trapped and Radiated Cold Ion Beyond the Lamb–Dicke Limit**The project supported by National Natural Science Foundation of China under Grant Nos 19904013 and 19904014

Abstract

Trapping ions outside the Lamb–Dicke limit have been proven to be useful for the laser-cooling and quantum computing. Under the supposition of the Rabi frequency much smaller than the Lamb–Dicke parameter, we can use a simple method to analytically solve the system with a single cold ion trapped and radiated beyond the Lamb– Dicke limit, in the absence of the rotating-wave approximation (RWA). Discussion has been made for the limitation of our approach and the comparison of our results with the solutions under the RWA.