Exponential Estimates in Adiabatic Quantum Evolution
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We review recent results concerning the exponential behaviour of transition probabilities across a gap in the adiabatic limit of the time-dependent Schr\"odinger equation. They range from an exponential estimate in quite general situations to asymptotic Landau-Zener type formulae for finite dimensional systems, or systems reducible to this case.
Cite
@article{arxiv.math-ph/9807031,
title = {Exponential Estimates in Adiabatic Quantum Evolution},
author = {A. Joye and C. -E. Pfister},
journal= {arXiv preprint arXiv:math-ph/9807031},
year = {2007}
}
Comments
6 pages, To appear in: Proceedings of XIIth Int.Cong.Math.Phys. Brisbane, 1997