The quantitative condition is necessary in guaranteeing the validity of the adiabatic approximation

Details The quantitative condition is necessary in guaranteeing the validity of the adiabatic approximation The quantitative condition is necessary in guaranteeing the validity of the adiabatic approximation

2010-04-19

arxiv.org/abs/1004.3100v1

Physical Review Letters 104, 120401, 2010

Physics

Quantum Physics

4 pages,1 figues

Scientific paper

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 prove that the quantitative condition is necessary in guaranteeing the validity of the adiabatic approximation.

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