Real-time chiral dynamics at finite temperature from quantum simulation

TL;DR

This paper demonstrates the use of quantum simulation techniques to study the real-time chiral magnetic effect at finite temperature in a (1+1)-dimensional quantum electrodynamics model, highlighting the potential of quantum computing in exploring chiral dynamics.

Contribution

It introduces a quantum simulation framework for analyzing the CME at finite temperature using the Schwinger model with a chiral chemical potential.

Findings

Successful implementation of quantum imaginary time evolution for thermal states.

Observation of induced vector currents and their dynamics after a quench.

Demonstration of quantum simulation capabilities for chiral phenomena.

Abstract

In this study, we explore the real-time dynamics of the chiral magnetic effect (CME) at a finite temperature in the (1+1)-dimensional QED, the massive Schwinger model. By introducing a chiral chemical potential $\mu_5$ through a quench process, we drive the system out of equilibrium and analyze the induced vector currents and their evolution over time. The Hamiltonian is modified to include the time-dependent chiral chemical potential, thus allowing the investigation of the CME within a quantum computing framework. We employ the quantum imaginary time evolution (QITE) algorithm to study the thermal states, and utilize the Suzuki-Trotter decomposition for the real-time evolution. This study provides insights into the quantum simulation capabilities for modeling the CME and offers a pathway for studying chiral dynamics in low-dimensional quantum field theories.