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Exponential Estimates in Adiabatic Quantum Evolution

A. Joye·C. -E. Pfister
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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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A. Joye, C. -E. Pfister. 1998-07-24. Exponential Estimates in Adiabatic Quantum Evolution. https://arxiv.org/abs/math-ph/9807031

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