Electrostatics of Gapped and Finite Surface Electrodes

Abstract

We present approximate methods for calculating the three-dimensional electric potentials of finite surface electrodes including gaps between electrodes, and estimate the effects of finite electrode thickness and an underlying dielectric substrate. As an example we optimize a radio-frequency surface-electrode ring ion trap, and find that each of these factors reduces the trapping secular frequencies by less than 5% in realistic situations. This small magnitude validates the usual assumption of neglecting the influences of gaps between electrodes and finite electrode extent.

9 pages, 9 figures (minor changes)

References in corpus (4)

• Scalable multi-particle entanglement of trapped ions
• A microfabricated surface-electrode ion trap for scalable quantum information processing
• Electrostatics of surface-electrode ion traps
• Optimal Surface-Electrode Trap Lattices for Quantum Simulation with Trapped Ions

Cited by in corpus (23)

• Scalable ion traps for quantum information processing
• Engineering of Microfabricated Ion Traps and Integration of Advanced On-Chip Features
• Microfabricated Ion Traps
• Quantum simulation of the hexagonal Kitaev model with trapped ions
• Quantum control of the motional states of trapped ions through fast switching of trapping potentials
• A surface electrode point Paul trap
• Optimized magnetic lattices for ultracold atomic ensembles
• Optimum electrode configurations for fast ion separation in microfabricated surface ion traps
• Two-dimensional linear trap array for quantum information processing
• Multi-zone trapped-ion qubit control in an integrated photonics QCCD device
• Observation of superconductivity and surface noise using a single trapped ion as a field probe
• Optimised surface-electrode ion-trap junctions for experiments with cold molecular ions
• Motional-Mode Analysis of Trapped Ions
• Operation of a Microfabricated Planar Ion-Trap for Studies of a Yb${}^{+}$-Rb Hybrid Quantum System
• Optimization and implementation of a surface-electrode ion trap junction
• Cold molecular ions on a chip
• Electric Vector Potential Approach in Electrostatics: The Surface Electrode
• Ideal Multipole Ion Traps from Planar Ring Electrodes
• Many-Body Physics with Trapped Ions
• Experimental demonstration of a surface-electrode multipole ion trap
• Realisation of homogeneous ion chain using surface traps
• Electrostatic Field of Angular-Dependent Surface Electrodes
• Modeling of Electromagnetic Radiation using a Dual Four-Potential Representation: From Dipole Blade Radiators to Ribbon Loop-like Antennas