Classical limit in terms of symbolic dynamics for the quantum baker's map
Quantum Physics
2016-09-08 v2
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.
Cite
@article{arxiv.quant-ph/9908040,
title = {Classical limit in terms of symbolic dynamics for the quantum baker's map},
author = {A. N. Soklakov and R. Schack},
journal= {arXiv preprint arXiv:quant-ph/9908040},
year = {2016}
}
Comments
12 pages, LaTex, typos corrected