2002/02/26 by Artur Lozinski, Prot Pakonski, Karol Zyczkowski · 1 citation
Physics and Astronomy · #quant-ph #nlin.CD
paper · pdf · doi:10.1103/physreve.66.065201
published as Phys. Rev. E 66, 065201(2002) · 4 pages, 3 figures included
arxiv created 2002/02/26 · arxiv updated 2009/11/30
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.