Studying chirality imbalance with quantum algorithms
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Abstract
To describe the chiral magnetic effect, the chiral chemical potential µ 5 is introduced to imitate the impact of topological charge changing transitions in the quark-gluon plasma under the influence of an external magnetic field. We employ the (1+1) dimensional Nambu-Jona-Lasinio (NJL) model to study the chiral phase structure and chirality charge density of strongly interacting matter with finite chiral chemical potential µ 5 in a quantum simulator. By performing the Quantum imaginary time evolution ( QITE ) algorithm, we simulate the (1 + 1) dimensional NJL model on the lattice at various temperature T and chemical potentials µ, µ 5 and find that the quantum simulations are in good agreement with analytical calculations as well as exact diagonalization of the lattice Hamiltonian.