Quantum Simulation of Chiral Phase Transitions

TL;DR

This paper demonstrates a quantum simulation approach for the (1+1)D NJL model at finite temperature and chemical potential, overcoming traditional computational limitations and aligning well with exact and analytical results.

Contribution

It introduces a quantum imaginary time evolution algorithm to simulate the NJL model at finite temperature and chemical potential, showcasing its potential for QCD thermodynamics studies.

Findings

Quantum simulation aligns with exact diagonalization results.

Method overcomes sign problem in lattice field theory.

Potential for studying QCD thermodynamics with quantum computing.

Abstract

The Nambu-Jona-Lasinio (NJL) model has been widely studied for investigating the chiral phase structure of strongly interacting matter. The study of the thermodynamics of field theories within the framework of Lattice Field Theory is limited by the sign problem, which prevents Monte Carlo evaluation of the functional integral at a finite chemical potential. Using the quantum imaginary time evolution (QITE) algorithm, we construct a quantum simulation for the $(1+1)$ dimensional NJL model at finite temperature and finite chemical potential. We observe consistency among digital quantum simulation, exact diagonalization, and analytical solution, indicating further applications of quantum computing in simulating QCD thermodynamics.