1. Fig. 6 Avoiding unphysical points in the LZ model.
Avoiding unphysical points in the LZ model. (A) Measured fidelity (dots) to the adiabatic state during the evolution time along the path of the LZ model by using the jumping protocol of N = 5 pulses. Left inset is the eigenenergies of the LZ model with an avoided crossing Δ = 2π × 5 MHz. The path (right inset) was set as from the initial eigenstate ∣−z〉 to ∣z〉 (blue arrowheads) and back from ∣z〉 to ∣−z〉 (purple arrowheads). The red circles indicate the unphysical path points (∣±z〉) that require an infinitely large Bz and eigenenergies in the Hamiltonian. The jumping protocol avoids the use of the unphysical points and adiabatically transfers the states ∣±z〉 with high fidelity (dots) during the evolution by jumping only on the path points indicated by red crosses. (B) Population at ∣−z〉 during the evolution time along the path. The red lines are the numerical simulations, and the target state is defined as the ideal adiabatic state driven under the control with an infinite number of π pulses.
Kebiao Xu et al. Sci Adv 2019;5:eaax3800
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