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Real-time simulation of light-driven spin chains on quantum computers
In this work, we study the real-time evolution of periodically driven (Floquet) systems on a quantum computer using IBM quantum devices. We consider a driven Landau-Zener model and compute the transition probability between the Floquet steady states as a function of time. We find that for this simple one-qubit model, Floquet states can develop in real time, as indicated by the transition probability between Floquet states. Next, we model light-driven spin chains and compute the time-dependent antiferromagnetic order parameter. We consider models arising from light coupling to the underlying electrons as well as those arising from light coupling to phonons. For the two-spin chains, the quantum devices yield time evolutions that match the effective Floquet Hamiltonian evolution for both models once readout error mitigation is included. For three-spin chains, zero-noise extrapolation yields a time dependence that follows the effective Floquet time evolution. Therefore, the current IBM quantum devices can provide information on the dynamics of small Floquet systems arising from light drives once error mitigation procedures are implemented.This research was primarily supported by the National
Science Foundation through the Center for Dynamics and
Control of Materials: an NSF MRSEC under Cooperative
Agreement No. DMR-1720595, with additional support from
Grants No. NSF DMR-1949701 and No. NSF DMR-2114825.
M.R.-V. and N.A.S. were supported by LANL LDRD Pro-
gram and by the U.S. Department of Energy, Office of Science, Basic Energy Sciences, Materials Sciences and Engineering Division, Condensed Matter Theory Program.Center for Dynamics and Control of Material