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Classical limit in terms of symbolic dynamics for the quantum baker's map

A. N. Soklakov·R. Schack
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Abstract

We derive a simple closed form for the matrix elements of the quantum baker's map that shows that the map is an approximate shift in a symbolic representation based on discrete phase space. We use this result to give a formal proof that the quantum baker's map approaches a classical Bernoulli shift in the limit of a small effective Plank's constant.

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A. N. Soklakov, R. Schack. 1999-08-12. Classical limit in terms of symbolic dynamics for the quantum baker's map. https://doi.org/10.1103/physreve.61.5108

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