Study chirality imbalance with quantum algorithms

As a result of the chiral magnetic effect, the chiral chemical potential is introduced to imitate the impacts of the topological charge changing transitions in the quark-gluon plasma under an external magnetic field. We apply the (1+1) dimensional Nambu–Jona-Lasinio (NJL) model to study the chiral phase structure and chirality charge of strongly interacting matter with finite chiral chemical potential μ₅ in a quantum simulator. By performing the Quantum imaginary time evolution QITE algorithm, we simulate the (1+1) dimensional NJL model at various temperature T and chemical potential μ, μ₅ and find that the quantum simulations are in good agreement with analytical calculations as well as exact diagonalizations.