Counterdiabatic Optimised Local Driving

Counterdiabatic driving protocols provide a way to speed up adiabatic dynamics through the suppression of excitations into unwanted states. However, exact counterdiabatic drives require knowledge of the spectral properties of the instantaneous Hamiltonians, which limits their application. It has recently been shown that this requirement can be removed by using a variational approach which allows one to determine an approximate, localised counterdiabatic drive without requiring access to the wavefunction of the system. We show that when coupled with additional parameterised driving terms, the path of the system can be optimised in a way that enhances the loss-suppressing effects of a chosen local order of the counterdiabatic protocol. Furthermore, this path appears to minimise the total power and maximal driving strength of higher local order terms in the approximate counterdiabatic drive. We show that this can be used in order to perform optimisation of the system path in a way that suppresses non-diabatic losses without requiring access to the system dynamics or experimental results.