Exponential Estimates in Adiabatic Quantum Evolution
A. Joye, C. -E. Pfister
Abstract
We review recent results concerning the exponential behaviour of transition probabilities across a gap in the adiabatic limit of the time-dependent Schrödinger 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.
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