Optimisation of Thimble Simulations and Quantum Dynamics of Multiple Fields in Real Time

TL;DR

This paper advances real-time quantum field theory simulations by optimizing the Generalised Thimble method, enabling more accurate computation of path integrals and correlators in multi-field systems.

Contribution

It introduces optimized numerical techniques for the Generalised Thimble approach and demonstrates its application to a two-field quantum system in 0+1 dimensions.

Findings

Optimized the numerical implementation of the Generalised Thimble method.

Successfully applied the method to a two-field system, showing its potential for realistic physical processes.

Enhanced the accuracy of real-time path integral computations.

Abstract

We apply the Generalised Thimble approach to the computation of exact path integrals and correlators in real-time quantum field theory. We first investigate the details of the numerical implementation and ways of optimizing the algorithm. We subsequently apply the method to an interacting two-field system in 0+1 dimensions, illustrating the scope for addressing realistic physical processes using real-time Generalised Thimble computations.