Abstract: According to a shortcut to adiabatic technique, we designed a method to add nonHermitian reverse heating Hamiltonian 
to study twolevel quantum systems without rotatingwave approximation. The results show that the Hamilton has an unbalanced gain dissipation term, can realize complete transfer of population, the method has strong robustness to parameters, 
and increasing the unbalanced gain dissipation ratio can greatly shorten the evolution time.

Key words: non-Hermitian Hamiltonian, shortcut to adiabatic technique, without rotatingwave approximation