Construction of a Landau-Zener model to realize population transfer
A Landau-Zener model for a class of quantum system driven by two-component external fields is proposed.Under the framework of SU(2)Lie algebra,the time-dependent Schrödinger equation governing the evolution of the system is solved by the canonical transformation method.It is showed that the coherent population transfer of quantum states can be achieved in the nonadiabatic dynamics of the system with fast and high fidelity,whether it is ideal evolution,pulse truncation based on actual evolution or decoherence caused by coupling between the system and the environment.At the same time,the adiabatic evolution of the system is studied.The results show that the system is sensitive to the values of control parameters at the boundary,and there are two differ-ent adiabatic dynamics behaviors:quantum state transition and return to the initial quantum state.
population transferquantum systemhigh fidelitydabatic and adiabatic dynamics
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