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

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

Brain death: from inflammation to metabolic changes

Organ transplantation is an excellent opportunity for patients with end-stage organ failure. However, the number of patients that are still on the waiting list indicates the necessity to increase the number of organs suitable for transplantation. Most organs for transplantation are retrieved from brain-dead donors. However, brain death (BD) has been shown to negatively affect organ quality. This thesis shows the effects of BD in liver and kidney tissue and tested a number of therapies in attempt to counter these negative effects induced by BD. We show that both the liver and kidney suffer from BD-induced injury. However, the mechanism for this injury seems to differ between individual organs. We found that whilst the kidney is suffering from a decrease in oxygen delivery and blood flow, the liver is actively consuming oxygen with no change in blood delivery. More insights into the injury mechanisms specific for each organ could help us to improve donor care and potentially increase the number of organs suitable for transplantation

Basic properties of nonlinear stochastic Schr\"{o}dinger equations driven by Brownian motions

The paper is devoted to the study of nonlinear stochastic Schr\"{o}dinger equations driven by standard cylindrical Brownian motions (NSSEs) arising from the unraveling of quantum master equations. Under the Born--Markov approximations, this class of stochastic evolutions equations on Hilbert spaces provides characterizations of both continuous quantum measurement processes and the evolution of quantum systems. First, we deal with the existence and uniqueness of regular solutions to NSSEs. Second, we provide two general criteria for the existence of regular invariant measures for NSSEs. We apply our results to a forced and damped quantum oscillator.Comment: Published in at http://dx.doi.org/10.1214/105051607000000311 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org

La certitude des probabilités. À la mémoire de Jacques Neveu

This article is a reflection on chance as a scientific object, starting from a materialistic point of view. I analyze the relationship between motion and complexity by introducing the notion of an open system and the categories that result from it: state of nature and observable, to review the debate on chance and certainty.Cet article est une réflexion sur le hasard en tant qu'objet scientifique, et en partant d'un point de vue matérialiste. On considère la relation entre mouvement et complexité en introduisant la notion de système ouvert et les catégories qui en découlent : état de la Nature et observables, ce qui permet de revoir le débat sur le hasard et la certitude