Adiabatic Shortcut in Nonlinear Two-Level system

摘要

In this work, we have investigated the adiabatic shortcut for nonlinear two-level system by adding a linear counter-adiabatic field in nonlinear LZ protocol. The results show that, unlike the linear two-level system, the fidelity between the target state and the final state is highly dependent on the type of nonlinear interaction and strength. The additional linear counter-adiabatic field can promote the adiabatic process on both repulsive and attractive interactions. For the repulsive interaction, the fidelity between the final state and the target state can always reach to 1 as the time duration increases. For the attractive interaction, the additional linear counter-adiabatic field can depress the critical effects which break the adiabaticity.