Dynamics of magnetic flux quenching in electron-phonon interaction systems

In recent years, the evolution of persistent currents induced by magnetic flux quenching in rings has been extensively investigated. However, the role of electron-phonon (e-ph) interactions in these phenomena has not been fully addressed. In this work, based on the Su-Schrieffer-Heeger (SSH) model coupled with a nonadiabatic evolution method, we compare the current dynamics in systems with and without e-ph interactions. We observe two significant modifications: (i) current oscillations around the stationary value persist, and (ii) transient plateaus emerge during the evolution. The persistent oscillations arised from periodic modulations of the staggered bond order parameter, whereas the transient plateaus correlate with topological phase transitions in the SSH lattice. Moreover, the time-averaged current in systems with e-ph interactions exhibits a modest enhancement compared to the non-interacting case. Finally, we discuss how the current dynamics depends on the magnetic flux quenching rate.