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Studying chirality imbalance with quantum algorithms

2022/10/06 by Czajka, Alexander M., Kang, Zhong-Bo, Tee, Yuxuan +1
#FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2210.03062

Abstract

To describe the chiral magnetic effect, the chiral chemical potential μ5 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 μ5 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, μ5 and find that the quantum simulations are in good agreement with analytical calculations as well as exact diagonalization of the lattice Hamiltonian.

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