Semiclassical properties and chaos degree for the quantum baker's map
Quantum Physics
2015-06-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Chaotic Dynamics
Abstract
We study the chaotic behaviour and the quantum-classical correspondence for the baker's map. Correspondence between quantum and classical expectation values is investigated and it is numerically shown that it is lost at the logarithmic timescale. The quantum chaos degree is computed and it is demonstrated that it describes the chaotic features of the model. The correspondence between classical and quantum chaos degrees is considered.
Cite
@article{arxiv.quant-ph/0110135,
title = {Semiclassical properties and chaos degree for the quantum baker's map},
author = {K. Inoue and M. Ohya and I. V. Volovich},
journal= {arXiv preprint arXiv:quant-ph/0110135},
year = {2015}
}
Comments
30 pages, 4 figures, accepted for publication in J. Math. Phys