L. Alcácer | Searcharxiv

arXiv2018

Probabilistic logic of quantum observations

A probabilistic propositional logic, endowed with an epistemic component for asserting (non-)compatibility of diagonizable and bounded observables, is presented and illustrated for reasoning about the random results of projective measurements made on a given quantum state. Simultaneous measurements are assumed to imply that the underlying observables are compatible. A sound and weakly complete axiomatization is provided relying on the decidable first-order theory of real closed ordered fields. The proposed logic is proved to be a conservative extension of classical propositional logic.

math.LO↗

arXiv2016

Interacting Electrons in One Dimension: The Two Chain Perylene-Metal Dithiolate Series

In this review, we attempt to present the most notable aspects of the story of the two chain, highly one-dimensional, organic conductors of the perylene metal-dithiolate series, which have been under investigation since the end of the 1960's until the present time, with the recent discovery of a superconducting phase. We will start with an overview of the developments of the research on this materials and then, after a brief introduction and a survey of the theoretical background, we will describe and discuss the structure, transport and magnetic properties, as well as the low temperature instabilities and phase transitions. Finally we will focus on the study of their behaviour under extreme conditions of low temperatures, high pressures and high magnetic fields up to 45 tesla.

cond-mat.str-el↗