Quantum simulation of thermal field theories

TL;DR

This paper explores quantum algorithms and simulations for thermal field theories, demonstrating numerical results in 1+1 dimensions for fermion and scalar fields, advancing understanding of thermalization in quantum systems.

Contribution

It introduces quantum algorithms for simulating thermal properties of quantum field theories and provides numerical results using quantum simulators in low dimensions.

Findings

Numerical results for 1+1 dimensional thermal field theories.

Quantum algorithms effectively evaluate thermal properties.

Insights into thermal fixed points and thermalization processes.

Abstract

We present our recent studies on thermal field theories using quantum algorithms. We first delve into the representation of quantum fields via qubits on general digital quantum computers alongside the quantum algorithms employed to evaluate thermal properties of generic quantum field theories. Then, we show our numerical results of thermal field theories in 1+1 dimensions using quantum simulators. Both fermion and scalar fields will be discussed. These studies aim to understand thermal fixed points for our forthcoming work on studying thermalisation in quantum field theories in real time quantum simulation.