论文标题
一个耦合振荡器模型，以分析石英谐振和捕获离子之间的相互作用
A Coupled-Oscillators Model to Analyze the Interaction between a Quartz Resonator and Trapped Ions
论文作者
论文摘要
在非平衡条件下观察石英 - 离子相互作用时，在观察石英离子相互作用的观察过程中开发了压电石英谐振器在检测捕获离子中的新型应用，为放射性颗粒的高敏感运动频率测量开辟了新的观点。通电的石英晶体在毫秒的顺序上具有（长）恒定时间的时间，可以在短时间内连贯检测带电的颗粒。在本出版物中，我们详细开发了一个模型，该模型管理着被困的$^{40} $ ca $^+$ ions与连接到低噪声放大器的石英谐振器之间的相互作用。我们将此模型应用于实验数据，并提取相关信息，例如耦合常数$ g =2π\ times 1.449（2）$ 〜Hz和我们的7-Tesla Penning Trap中的离子修饰的cyclotron频率。对后者的研究对于在精确的PENNING-TRAP质谱法中使用该谐振器特别重要。灵敏度的提高可以通过通过谐振器的质量因素增加耦合常数来实现。这可以在将混合石英离子系统用于其他应用程序中发展。
The novel application of a piezoelectric quartz resonator for the detection of trapped ions has developed in the observation of the quartz-ions interaction under non-equilibrium conditions, opening new perspectives for high-sensitive motional frequency measurements of radioactive particles. Energized quartz crystals have (long) constant-decay times in the order of milliseconds, permitting the coherent detection of charged particles within short times. In this publication we develop in detail a model governing the interaction between trapped $^{40}$Ca$^+$ ions and a quartz resonator connected to a low-noise amplifier. We apply this model to experimental data and extract relevant information like the coupling constant $g=2π\times 1.449(2)$~Hz and the ions' modified-cyclotron frequency in our 7-tesla Penning trap. The study on the latter is specially important for the use of this resonator in precision Penning-trap mass spectrometry. The improvement in sensitivity can be accomplished by increasing the coupling constant through the quality factor of the resonator. This can develop in the use of the hybrid quartz-ion system for other applications.
