Degree of Quantumness in Quantum Synchronization

We introduce the concept of degree of quantumness in quantum synchronization, a measure of the quantum nature of synchronization in quantum systems. Following techniques from quantum information, we propose the number of non-commuting observables that synchronize as a measure of quantumness. This figure of merit is compatible with already existing synchronization measurements, and it captures different physical properties. We illustrate it in a quantum system consisting of two weakly interacting cavity-qubit systems, which are coupled via the exchange of bosonic excitations between the cavities. Moreover, we study the synchronization of the expectation values of the Pauli operators and we propose a feasible superconducting circuit setup. Finally, we discuss the degree of quantumness in the synchronization between two quantum van der Pol oscillators

Milenarismo em Joaquim de Fiore e Antônio Vieira

O presente artigo analisa a presença do milenarismo na obra de Joaquim de Fiore (1132-1202) e na de Padre Antônio Vieira (1608-1697). Em um primeiro momento, mostra-se que não há propriamente um milenarismo na obra joaquimita, e que o milenarismo imputado ao abade calabrês provém dos franciscanos espirituais, dos jesuítas e de alguns textos anônimos atribuídos indevidamente a Joaquim. Com base nisso, em um segundo momento, relativiza-se a ligação entre Vieira e Joaquim, tendo em vista que, além de este último não ser milenarista, o jesuíta português não baseou suas teses proféticas nas obras autênticas do abade. Daí que o milenarismo vieiriano, muitas vezes associado ao abade, seria proveniente dos círculos joaquimitas e de alguns textos pseudojoaquimitas.This article aims at analyzing the presence of millenarianism in the works of Joachim of Fiore (c. 1132-1202) and Father Antonio Vieira (1608-1697). First of all, one shows that there is not properly a millenarianism in Joachim's works, and that the millenarianism attributed to him comes from the Spiritual Franciscans, the Jesuits and also from some apocryphal texts unduly attributed to him. Based on that, secondly, one points out just an indirect relation between Vieira and Joachim, since, besides the fact that the latter was not millenarian, the Portuguese Jesuit did not ground his prophetical ideas on the abbot's authentic works. Hence Vieira's millenarianism, very often related to the abbot's thought by the critics, would be derived from Joachite circles and some pseudo-Joachite texts