Irreversible Quantum Baker Map

Details Irreversible Quantum Baker Map Irreversible Quantum Baker Map

2002-02-26

arxiv.org/abs/quant-ph/0202153v1

Phys. Rev. E 66, 065201(2002)

Physics

Quantum Physics

4 pages, 3 figures included

Scientific paper

10.1103/PhysRevE.66.065201

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.

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