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arXiv · 1212.2907

Landau-Zener Transitions in Chains

N. A. Sinitsyn
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Abstract

We determine transition probabilities in two exactly solvable multistate Landau-Zener (LZ) models and discuss applications of our results to the theory of dynamic passage through a phase transition in the dissipationless quantum mechanical regime. In particular, we show that statistics of particles in a new phase demonstrate scaling behavior. Our results also reveal a symmetry that we claim is a property of a large class of multistate LZ models, whose explicit solutions are not presently known. We support our arguments by direct numerical simulations.

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N. A. Sinitsyn. 2013-02-21. Landau-Zener Transitions in Chains. https://doi.org/10.1103/physreva.87.032701

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