Smooth adiabatic evolutions with leaky power tails

Details Smooth adiabatic evolutions with leaky power tails Smooth adiabatic evolutions with leaky power tails

1999-09-21

arxiv.org/abs/quant-ph/9909063v2

Physics

Quantum Physics

Final form, to appear in J. Phys. A; 11 pages, no figures

Scientific paper

10.1088/0305-4470/32/50/102

Adiabatic evolutions with a gap condition have, under a range of circumstances, exponentially small tails that describe the leaking out of the spectral subspace. Adiabatic evolutions without a gap condition do not seem to have this feature in general. This is a known fact for eigenvalue crossing. We show that this is also the case for eigenvalues at the threshold of the continuous spectrum by considering the Friedrichs model.

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