Studying chirality imbalance with quantum algorithms
- URL: http://arxiv.org/abs/2210.03062v1
- Date: Thu, 6 Oct 2022 17:12:33 GMT
- Title: Studying chirality imbalance with quantum algorithms
- Authors: Alexander M. Czajka, Zhong-Bo Kang, Yuxuan Tee and Fanyi Zhao
- Abstract summary: 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.
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 $mu$, $mu_5$.
- Score: 62.997667081978825
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: To describe the chiral magnetic effect, the chiral chemical potential $\mu_5$
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 $\mu_5$ 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 $\mu$, $\mu_5$ 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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