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arXiv · 1902.00302

Determining temperature and Rabi frequency regarding trapped ions in Doppler cooling: An analytic investigation

Lei-Lei Yan·Shi-Lei Su·Mang Feng
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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 $^{40}$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.

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Lei-Lei Yan, Shi-Lei Su, Mang Feng. 2019-02-01. Determining temperature and Rabi frequency regarding trapped ions in Doppler cooling: An analytic investigation. https://arxiv.org/abs/1902.00302

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