Dynamics of an unbalanced two-ion crystal in a Penning trap for application in optical mass spectrometry

Abstract

In this article, the dynamics of an unbalanced two-ion crystal comprising the 'target' and the 'sensor' ions confined in a Penning trap has been studied. First, the low amplitude regime is addressed. In this regime, the overall potential including the Coulomb repulsion between the ions can be considered harmonic and the axial, magnetron and reduced-cyclotron modes split up into the so-called 'stretch' and 'common' modes, that are generalizations of the well-known 'breathing' and 'center-of-mass' motions of a balanced crystal made of two ions. By measuring the frequency modes of the crystal and the sensor ion eigenfrequencies using optical detection, it will be possible to determine the target ion's free-cyclotron frequency. The measurement scheme is described and the non-harmonicity of the Coulomb interaction is discussed since this might cause large systematic effects.

9 pages, 11 figures

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Cited by in corpus (10)

• Sympathetic cooling of a trapped proton mediated by an LC circuit
• The physics and applications of strongly coupled plasmas levitated in electrodynamic traps
• Scalable arrays of micro-Penning traps for quantum computing and simulation
• Investigations on Dynamical Stability in 3D Quadrupole Ion Traps
• Production of Fock Mixtures in Trapped Ions for Motional Metrology
• Trap-integrated fluorescence detection based on silicon photomultipliers in a cryogenic Penning trap
• Penning-trap eigenfrequency measurements with optical radiofrequency detectors
• Numerical Simulations of 3D Ion Crystal Dynamics in a Penning Trap using the Fast Multipole Method
• Ion-driven destabilization of a toroidal electron plasma -- A 3D3VPIC Simulation
• Formation of Two-Ion Crystals by Injection from a Paul-Trap Source into a High-Magnetic-Field Penning Trap