Entropy production and detailed balance for a class of quantum Markov semigroups

We give an explicit entropy production formula for a class of quantum Markov semigroups, arising in the weak coupling limit of a system coupled with reservoirs, whose generators $\mathcal{L}$ are sums of other generators $\mathcal{L}_\omega$ associated with positive Bohr frequencies $\omega$ of the system. As a consequence, we show that any such semigroup satisfies the quantum detailed balance condition with respect to an invariant state if and only if all semigroups generated by each $\mathcal{L}_\omega$ so do with respect to the same invariant state

Generalized Hedgehog ansatz and Gribov copies in regions with non trivial topologies

In this paper the arising of Gribov copies both in Landau and Coulomb gauges in regions with non-trivial topologies but flat metric, (such as closed tubes S1XD2, or RXT2) will be analyzed. Using a novel generalization of the hedgehog ansatz beyond spherical symmetry, analytic examples of Gribov copies of the vacuum will be constructed. Using such ansatz, we will also construct the elliptic Gribov pendulum. The requirement of absence of Gribov copies of the vacuum satisfying the strong boundary conditions implies geometrical constraints on the shapes and sizes of the regions with non-trivial topologies.Comment: 25 pages; Version accepted for publication on Physical Review D. New References include

On non-Markovian time evolution in open quantum systems

Non-Markovian reduced dynamics of an open system is investigated. In the case the initial state of the reservoir is the vacuum state, an approximation is introduced which makes possible to construct a reduced dynamics which is completely positive

Rational points on X_0^+ (p^r)

We show how the recent isogeny bounds due to \'E. Gaudron and G. R\'emond allow to obtain the triviality of X_0^+ (p^r)(Q), for r>1 and p a prime exceeding 2.10^{11}. This includes the case of the curves X_split (p). We then prove, with the help of computer calculations, that the same holds true for p in the range 10 < p < 10^{14}, p\neq 13. The combination of those results completes the qualitative study of such sets of rational points undertook in previous papers, with the exception of p=13.Comment: 16 pages, no figur

Una política pública para el desarrollo del capital humano de funcionarios municipales: aprendizajes para el caso de la Academia de Capacitación Municipal y Regional

This study developed an exhaustive analysis of the international experience to elucidate the different strategies of three training schools for public servers in human capital development within the public service of their countries, and contrast that experience with the chilean case, giving special attention to the training of local government officials. It is proposed that, following the new law, the institutions of the ``Academia de Formación'' must coordinate efforts, resources, actors and wills, so the training provided by the Academy would be associated with the promotion, increasing of degrees and would be priority for recruitment and selection to cover positions available in municipalities entering the system, as in the case of the international schools studied.Este estudio desarrolló un exhaustivo análisis de la experiencia internacional, a fin de dilucidar las distintas estrategias, abordadas por tres escuelas de formación de funcionarios públicos, en el desarrollo del capital humano dentro de la Administración Pública de sus respectivos países, y contrastar dicha experiencia con el caso chileno, dándole especial atención a la formación y capacitación de los funcionarios de gobiernos locales. Se propone que, a raíz de la nueva Ley, la institucionalidad de la Academia de Formación debe articular esfuerzos, recursos, actores y voluntades, a fin de que la formación y capacitación entregada por la Academia esté asociada al ascenso, aumento de grados y sean prioridad para el reclutamiento y selección, para cubrir cargos disponibles en las municipalidades que ingresen al sistema, tal como ocurre con las escuelas internacionales estudiadas

Decoherence of quantum Markov semigroups

Quantum Decoherence consists in the appearance of classical dynamics in the evolution of a quantum system. This paper focuses on the probabilistic interpretation of this phenomenon, connected with the analysis of classical reductions of a quantum Markov semigroup. (c) 2005 Elsevier SAS. All rights reserved

Merel's theorem on the boundedness of the torsion of elliptic curves

The goal of this note is to give the key steps of the proof of Merel's theorem on the boundedness of the torsion of elliptic curve

Gribov ambiguity and degenerate systems

The relation between Gribov ambiguity and degeneracies in the symplectic structure of physical systems is analyzed. It is shown that, in finite-dimensional systems, the presence of Gribov ambiguities in regular constrained systems (those where the constraints are functionally independent) always leads to a degenerate symplectic structure upon Dirac reduction. The implications for the Gribov-Zwanziger approach to QCD are discussed.Comment: 26 pages, 6 figures. Comments and references adde