Coupled-oscillator model to analyze the interaction between a quartz resonator and trapped ions
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Altozano Ruiz, Emilio; Berrocal Sánchez, Joaquín; Domínguez González, Francisco; Rodríguez Rubiales, DanielEditorial
American Physical Society
Date
2023-05-30Referencia bibliográfica
E. Altozano, J. Berrocal, S. Lohse, F. Domínguez, M. Block, J. J. García-Ripoll, and D. Rodríguez Phys. Rev. A 107, 053116https://doi.org/10.1103/PhysRevA.107.053116]
Abstract
The novel application of a piezoelectric quartz resonator for the detection of trapped ions has enabled
the observation of the quartz-ions interaction under nonequilibrium conditions, opening new perspectives for
high-sensitive motional frequency measurements of radioactive particles. Energized quartz crystals have (long)
decay-time constants in the order of milliseconds, permitting the coherent detection of charged particles within
short time scales. In this paper we develop a detailed model governing the interaction between trapped 40Ca+
ions and a quartz resonator connected to a low-noise amplifier. We apply this model to experimental data
and extract the ions’ reduced-cyclotron frequency in our 7-T Penning trap setup. We also obtain an upper
limit for the coupling constant g with the present quartz-amplifier-trap (QAT) configuration. The study of the
reduced-cyclotron frequency is especially important for the use of this resonator in precision Penning-trap mass
spectrometry. The improvement in sensitivity can be accomplished by increasing the quality factor of the QAT
configuration, which in turn will improve the performance of the system towards the strong-coupling regime