First principle simulation of ultra-cold ion crystals in a Penning trap with Doppler cooling and a rotating wall potential
arXiv:1903.10600 · doi:10.1063/1.5099256
Abstract
A direct numerical simulation of many interacting ions in a Penning trap with a rotating wall is presented. The ion dynamics is modelled classically. Both axial and planar Doppler laser cooling are modeled using stochastic momentum impulses based on two-level atomic scattering rates. The plasmas being modeled are ultra-cold two-dimensional crystals made up of 100's of ions. We compare Doppler cooled results directly to a previous linear eigenmodes analysis. Agreement in both frequency and mode structure are obtained. Additionally, when Doppler laser cooling is applied, the laser cooled steady state plasma axial temperature agrees with the Doppler cooling limit. Numerical simulations using the approach described and benchmarked here will provide insights into the dynamics of large trapped-ion crystals, improving their performance as a platform for quantum simulation and sensing.
arXiv comment20 pages, 12 figures
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Cited by in corpus (8)
- Sideband cooling of the radial modes of motion of a single ion in a Penning trap
- Broadening of the drumhead mode spectrum due to in-plane thermal fluctuations of two-dimensional trapped ion crystals in a Penning trap
- Normal Modes, Rotational Inertia, and Thermal Fluctuations of Trapped Ion Crystals
- Bilayer crystals of trapped ions for quantum information processing
- Equilibration of the planar modes of ultracold two dimensional ion crystals in a Penning trap
- Rapid cooling of the in-plane motion of two-dimensional ion crystals in a Penning trap to millikelvin temperatures
- Numerical Simulations of 3D Ion Crystal Dynamics in a Penning Trap using the Fast Multipole Method
- Adiabatic Cooling of Planar Motion in a Penning Trap Ion Crystal to Sub-Millikelvin Temperatures