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 Planck’s constant.
- Received 9 August 1999
DOI:https://doi.org/10.1103/PhysRevE.61.5108
©2000 American Physical Society