Quantitative conditions do not guarantee the validity of the adiabatic approximation

Details Quantitative conditions do not guarantee the validity of the adiabatic approximation Quantitative conditions do not guarantee the validity of the adiabatic approximation

2005-09-10

arxiv.org/abs/quant-ph/0509073v3

Physical Review Letters 95(2005)110407

Physics

Quantum Physics

corrected typos. Eq. (32) is corrected. No other changes

Scientific paper

10.1103/PhysRevLett.95.110407

In this letter, we point out that the widely used quantitative conditions in
the adiabatic theorem are insufficient in that they do not guarantee the
validity of the adiabatic approximation. We also reexamine the inconsistency
issue raised by Marzlin and Sanders (Phys. Rev. Lett. 93, 160408, 2004) and
elucidate the underlying cause.

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