Periodic modulation of adiabatic dynamics in non-reciprocal Landau–Zener systems

The control of adiabatic dynamics is essential for quantum manipulation. We investigate the effects of both periodic modulating field and linear sweeping field on adiabatic dynamics based on a non-reciprocal Landau–Zener model with periodic modulation. We obtain adiabatic phase diagrams in the (ω, δ) parameter space, where the adiabatic region is bounded by the modulating frequency ω greater than a critical value ω_c and the non-reciprocal parameter δ less than one. The results show that the adiabaticity of the system is not sensitive to the modulating amplitude. We find that the critical modulating frequency can be expressed as a power function of the modulating period number or the sweeping rate. Our findings suggest that one can change the adiabatic region or improve the adiabaticity by adjusting the parameters of both the modulating and the sweeping fields, which provides an effective means to flexibly control the adiabatic dynamics of non-reciprocal systems.