Accurate and efficient spin integration for particle accelerators

TL;DR

This paper introduces new, efficient algorithms for spin tracking in particle accelerators, utilizing quaternion-based integrators and GPU acceleration to improve accuracy and computational speed.

Contribution

It presents novel quaternion and Romberg quadrature-based integrators for spin tracking, optimized for GPU implementation, enhancing both accuracy and efficiency.

Findings

Accelerated spin tracking on GPUs.

Improved accuracy of spin integration methods.

Validated performance on RHIC lattice.

Abstract

Accurate spin tracking is a valuable tool for understanding spin dynamics in particle accelerators and can help improve the performance of an accelerator. In this paper, we present a detailed discussion of the integrators in the spin tracking code gpuSpinTrack. We have implemented orbital integrators based on drift-kick, bend-kick, and matrix-kick splits. On top of the orbital integrators, we have implemented various integrators for the spin motion. These integrators use quaternions and Romberg quadratures to accelerate both the computation and the convergence of spin rotations. We evaluate their performance and accuracy in quantitative detail for individual elements as well as for the entire RHIC lattice. We exploit the inherently data-parallel nature of spin tracking to accelerate our algorithms on graphics processing units.