Abstract
The traditional quantum adiabatic condition is viewed as a first-order approximation to guarantee the adiabatic evolution. However, its application may lead to inconsistency in certain cases. Here, based on the Green's function and partial resummarization method, we derive a more powerful adiabatic condition. This adiabatic condition bears a clear physical sense and is free of the former inconsistency. The methods we adopt in this paper also provide a natural framework to discuss adiabaticity in more general settings.
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