Biomedical subjects

Ignacio García-Mata

Publications and source records attributed to Ignacio García-Mata.

2 recordsLinked to original sources

PubMed2004

Spectral properties and classical decays in quantum open systems.

We study the relationship between the spectral properties of diffusive open quantum maps and the classical spectrum of Ruelle-Pollicott resonances. The leading resonances determine the asymptotic time regime for several quantities of interest--the linear entropy, the Loschmidt echo, and the correlations of the initial state. A numerical method that allows an efficient calculation of the leading spectrum is developed using a truncated basis adapted to the dynamics.

Journal Article↗

PubMed2003

Classical decays in decoherent quantum maps.

The linear entropy and the Loschmidt echo have proved to be of interest recently in the context of quantum information and of the quantum to classical transitions. We study the asymptotic long-time behavior of these quantities for open quantum maps and relate the decays to the eigenvalues of a coarse-grained superoperator. In specific ranges of coarse graining, and for chaotic maps, these decay rates are given by the Ruelle-Pollicott resonances of the classical map.

Journal Article↗