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arXiv · 2501.06190

Interf\'erences pour les chats quantiques

Jean-Michel Pipeau
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Abstract

In this text I study quantum dynamics of quantized linear automorphisms of the torus after the Ehrenfest time. I show that, in the wave packet basis, the 'matrix' of the associated propagator is well approximated by Birkhoff sums of nilrotations on the torus. In the second part, I conduct a thorough study of these sums and relate the equidistribution of evolved wave packets to a problem of Diophantine approximation.

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Jean-Michel Pipeau. 2024-12-18. Interf\'erences pour les chats quantiques. https://arxiv.org/abs/2501.06190

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