A qubit-encoded (1+1)D Schwinger model simulation finds vacuum minima at theta-bar=0 and 2pi and shows relaxation to theta_eff=0 when coupled to a dynamical axion, realizing the Peccei-Quinn mechanism.
Luo, Spontaneous chiral-symmetry breaking of lattice qcd with massless dynamical quarks, Science in China Series G: Physics, Mechanics and Astronomy 50, 6 (2007)
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Quantum simulation of strong charge-parity violation and Peccei-Quinn mechanism
A qubit-encoded (1+1)D Schwinger model simulation finds vacuum minima at theta-bar=0 and 2pi and shows relaxation to theta_eff=0 when coupled to a dynamical axion, realizing the Peccei-Quinn mechanism.