Smooth adiabatic evolutions with leaky power tails
Quantum Physics
2009-10-31 v2 Mathematical Physics
math.MP
Atomic Physics
Abstract
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.
Cite
@article{arxiv.quant-ph/9909063,
title = {Smooth adiabatic evolutions with leaky power tails},
author = {J. E. Avron and A. Elgart},
journal= {arXiv preprint arXiv:quant-ph/9909063},
year = {2009}
}
Comments
Final form, to appear in J. Phys. A; 11 pages, no figures