近日，西班牙格拉纳达大学的D. Rodríguez&J. Berrocal与西班牙高等科研理事会的D. Porras合作并取得一项新进展。他们揭示l 潘宁阱中的激光辅助运动模式光谱学及广义不变性定理。相关研究成果已于2024年12月10日在国际知名学术期刊《物理评论A》上发表。

本文利用⁴⁰Ca⁺的电偶极跃迁，测量了7特斯拉潘宁陷阱中一个平衡和一个不平衡的，两离子库仑晶体的所有运动模式频率（共同模式和拉伸模式）。平衡晶体的三个共同模式，是通过先前为单个离子开发的激光脉冲测量技术获得的，而拉伸模式频率则是在应用激光冷却的静止状态下测量的。

由于库仑相互作用和晶体的加热，振荡器中出现非线性现象，研究人员通过解析和数值方法处理这些非线性现象，以获得实验频率值。研究人员对广义不变性定理进行检验，其相对位移为-1.0×10^-6，相对不确定性为4×10^-6。他们还利用单离子频率测量来评估其有效性。

附：英文原文

Title: Laser-assisted motional-mode spectroscopy in a Penning trap and the generalized invariance theorem

Author: J. Berrocal, A. Hernández, D. Porras, D. Rodríguez

Issue&Volume: 2024/12/10

Abstract: In this paper we measure all the motional-mode frequencies (common and stretch) of a balanced and an unbalanced two-ion Coulomb crystal in a 7-tesla Penning trap using an electric-dipole transition in  ⁴⁰ Ca ⁺ . The three common modes of the balanced crystal were obtained using a laser-pulse measurement technique developed in a previous work for a single ion, whereas the stretch mode frequencies were measured in a stationary state while applying laser cooling. Due to the Coulomb interaction, and the heating of the crystal, nonlinearities appear in the oscillators, which are treated analytically and numerically to obtain the experimental frequency values. The generalized invariance theorem has been tested yielding a relative shift of -1.0×10^-6 with a relative uncertainty of 4×10^-6. Single-ion frequency measurements are used to assess its validity.

DOI: 10.1103/PhysRevA.110.063107

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.110.063107