Determining temperature and Rabi frequency regarding trapped ions in Doppler cooling: An analytic investigation
Abstract
Doppler cooling with lasers is essential to ions' trapping and also a preliminary step towards achievement of ultracold ions. Due to lack of effective tools, experimentally monitoring the ions' temperature and the laser-ion coupling is difficult in Doppler cooling. Here we analytically explore the Doppler cooling process of trapped ions, exemplified by Ca, by solving the friction coefficient in the Doppler cooling with respect to a thermal bath, particularly, to a bath with large heating rate. We show four regions for cooling and heating induced by the three-level electromagnetically induced transparency and propose a practical method for measuring the Rabi frequency by the Doppler cooling window. In addition, the final temperature of the laser-cooled ions can be obtained analytically in the case of a weak thermal bath, whereas for the strong thermal bath this requires numerical treatment due to involvement of the Doppler shift and large Lamb-Dicke parameter. Our analytic results would help for understanding many experimental observations, such as configuration phase transition, phonon laser and thermodynamics regarding hot trapped ions.
Keywords
Cite
@article{arxiv.1902.00302,
title = {Determining temperature and Rabi frequency regarding trapped ions in Doppler cooling: An analytic investigation},
author = {Lei-Lei Yan and Shi-Lei Su and Mang Feng},
journal= {arXiv preprint arXiv:1902.00302},
year = {2019}
}
Comments
10 Figures