Optimized numerical evolution of perturbations across sharp background trajectory turns in multifield inflation

TL;DR

This paper presents an efficient numerical method for evolving primordial scalar perturbations in multifield inflation models, accurately handling rapid background trajectory turns and enabling large-scale spectral feature analysis.

Contribution

It introduces a scalable, accurate computational approach for perturbation evolution during sharp turns in multifield inflation, improving over previous methods.

Findings

Method accurately tracks perturbations through rapid turns

Scales effectively to models with many fields

Enables systematic exploration of spectral features

Abstract

Features in the primordial power spectrum require numerical methods that are both accurate and scalable across the wide class of multifield inflationary models that produce them. Sharp turns in the background trajectories, induced by either potential or geometric effects, render these computations particularly challenging. In this work, we introduce an efficient method for evolving primordial scalar fluctuations, requiring timesteps comparable to those used for the background evolution. We demonstrate that the method accurately tracks perturbations through rapidly turning trajectories in arbitrary field-space geometries, enabling systematic exploration of spectral features across diverse multifield scenarios. Our approach scales robustly to large numbers of degrees of freedom, providing a reliable computational framework for probing regimes that significantly depart from slow-roll dynamics.