Fig. 2: Transient dynamics in the multistate Landau-Zener model with an initially excited qubit.
From: Quantum emulation of the transient dynamics in the multistate Landau-Zener model

a Quantum and b numerical simulation of qubit population as a function of the qubit frequency ωq(t) = ωi + vt and rise time trise = (ωq − ωf)/v with the Landau-Zener velocity v. During the transition of the resonator ensemble (frequencies indicated by dashed orange lines), the population of the initially excited qubit undergoes a steep drop, followed by coherent oscillations with diminishing amplitude. This is especially apparent for long rise times. c Quantitative comparison of the experiment (dots) and numerical simulation (lines) for different rise times, indicated by blue arrows in b. Shaded areas indicate the standard deviation of the qubit population. Neighboring traces are shifted by 1 to improve visibility. d Final qubit population as a function of the rise time trise. Oscillations persist in measurement and simulation, nevertheless, the final qubit population is well approximated by the generalized Landau-Zener formula, see Eq. (2).