Irreversible Quantum Baker Map
Quantum Physics
2009-11-07 v1 Chaotic Dynamics
Abstract
We propose a generalization of the model of classical baker map on the torus, in which the images of two parts of the phase space do overlap. This transformation is irreversible and cannot be quantized by means of a unitary Floquet operator. A corresponding quantum system is constructed as a completely positive map acting in the space of density matrices. We investigate spectral properties of this super-operator and their link with the increase of the entropy of initially pure states.
Cite
@article{arxiv.quant-ph/0202153,
title = {Irreversible Quantum Baker Map},
author = {Artur Lozinski and Prot Pakonski and Karol Zyczkowski},
journal= {arXiv preprint arXiv:quant-ph/0202153},
year = {2009}
}
Comments
4 pages, 3 figures included