Universal Dynamics at the Lowest Temperatures

TL;DR

This paper uses GPU-accelerated simulations to study the universal scaling behaviors of complex quantum systems far from equilibrium, providing insights relevant for experimental quantum physics.

Contribution

It introduces a high-performance computational approach to analyze universal dynamics in quantum systems at very low temperatures, focusing on non-thermal fixed points.

Findings

Identification of universal scaling exponents near non-thermal fixed points

Demonstration of GPU-based large-scale simulations for quantum dynamics

Insights into the behavior of highly fluctuating quantum states

Abstract

High-performance graphical processing units (GPU) are used for the repeated parallelised propagation of non-linear partial differential equations on large spatio-temporal grids. The main challenge results as a combination of the requirement of large grids for exploring scaling over several orders of magnitude, both in space and time, and the need for high statistics in averaging over many runs, in computing correlation functions for highly fluctuating quantum many-body states. With our simulations, we explore the dynamics of complex quantum systems far from equilibrium, with the aim of classifying their universal characteristics such as scaling exponents near non-thermal fixed points. Our results are strongly relevant for the development of synthetic quantum systems when exploring the respective physics in the laboratory.