On Quantum - Classical Correspondence for Baker's Map
Quantum Physics
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Quantum baker`s map is a model of chaotic system. We study quantum dynamics for the quantum baker's map. We use the Schack and Caves symbolic description of the quantum baker`s map. We find an exact expression for the expectation value of the time dependent position operator. A relation between quantum and classical trajectories is investigated. Breakdown of the quantum-classical correspondence at the logarithmic timescale is rigorously established.
Cite
@article{arxiv.quant-ph/0108107,
title = {On Quantum - Classical Correspondence for Baker's Map},
author = {K. Inoue and M. Ohya and I. V. Volovich},
journal= {arXiv preprint arXiv:quant-ph/0108107},
year = {2007}
}
Comments
13 pages