Quantitative Condition is Necessary in Guaranteeing the Validity of the Adiabatic Approximation
Quantitative Condition is Necessary in Guaranteeing the Validity of the Adiabatic Approximation
The usual quantitative condition has been widely used in the practical applications of the adiabatic theorem. However, it had never been proved to be sufficient or necessary before. It was only recently found that the quantitative condition is insufficient, but whether it is necessary remains unresolved. In this letter, we …