Efficiency of Human Activity on Information Spreading on Twitter

Understanding the collective reaction to individual actions is key to effectively spread information in social media. In this work we define efficiency on Twitter, as the ratio between the emergent spreading process and the activity employed by the user. We characterize this property by means of a quantitative analysis of the structural and dynamical patterns emergent from human interactions, and show it to be universal across several Twitter conversations. We found that some influential users efficiently cause remarkable collective reactions by each message sent, while the majority of users must employ extremely larger efforts to reach similar effects. Next we propose a model that reproduces the retweet cascades occurring on Twitter to explain the emergent distribution of the user efficiency. The model shows that the dynamical patterns of the conversations are strongly conditioned by the topology of the underlying network. We conclude that the appearance of a small fraction of extremely efficient users results from the heterogeneity of the followers network and independently of the individual user behavior.Comment: 29 pages, 10 figure

Input-output theory for spin-photon coupling in Si double quantum dots

The interaction of qubits via microwave frequency photons enables long-distance qubit-qubit coupling and facilitates the realization of a large-scale quantum processor. However, qubits based on electron spins in semiconductor quantum dots have proven challenging to couple to microwave photons. In this theoretical work we show that a sizable coupling for a single electron spin is possible via spin-charge hybridization using a magnetic field gradient in a silicon double quantum dot. Based on parameters already shown in recent experiments, we predict optimal working points to achieve a coherent spin-photon coupling, an essential ingredient for the generation of long-range entanglement. Furthermore, we employ input-output theory to identify observable signatures of spin-photon coupling in the cavity output field, which may provide guidance to the experimental search for strong coupling in such spin-photon systems and opens the way to cavity-based readout of the spin qubit

An extended formalism for preferential attachment in heterogeneous complex networks

In this paper we present a framework for the extension of the preferential attachment (PA) model to heterogeneous complex networks. We define a class of heterogeneous PA models, where node properties are described by fixed states in an arbitrary metric space, and introduce an affinity function that biases the attachment probabilities of links. We perform an analytical study of the stationary degree distributions in heterogeneous PA networks. We show that their degree densities exhibit a richer scaling behavior than their homogeneous counterparts, and that the power law scaling in the degree distribution is robust in presence of heterogeneity

Substrate-Integrated Folded Waveguide Slot Antenna

In recent years a number of researchers have proposed novel techniques for fabricating rectangular waveguide using microwave integrated circuit techniques. These so-called substrate integrated guides have been fabricated using multilayer LTCC, multi- and single-layer microwave laminates and photoimageable thick films. All of these structures result in dielectric filled rectangular waveguide and as such have a width reduction of 1/square root of the relative permittivity over conventional waveguide. Furthermore, by their very nature they are easily integrated with planar transmission lines and circuits, allowing hybrid waveguide/microstrip systems to be fabricated on a single substrate. Several researchers have investigated slot antennas and arrays in substrate-integrated guide. In this paper we show a slot antenna in a folded substrate-integrated waveguide. These waveguides have half the width of the other types of substrate-integrated waveguide. As such the present structure allows arrays of slot antennas to be more highly integrated

A Coherent Spin-Photon Interface in Silicon

Electron spins in silicon quantum dots are attractive systems for quantum computing due to their long coherence times and the promise of rapid scaling using semiconductor fabrication techniques. While nearest neighbor exchange coupling of two spins has been demonstrated, the interaction of spins via microwave frequency photons could enable long distance spin-spin coupling and "all-to-all" qubit connectivity. Here we demonstrate strong-coupling between a single spin in silicon and a microwave frequency photon with spin-photon coupling rates g_s/(2\pi) > 10 MHz. The mechanism enabling coherent spin-photon interactions is based on spin-charge hybridization in the presence of a magnetic field gradient. In addition to spin-photon coupling, we demonstrate coherent control of a single spin in the device and quantum non-demolition spin state readout using cavity photons. These results open a direct path toward entangling single spins using microwave frequency photons

Modelización geoquímica de los procesos de fusión parcial

18 páginas, 6 figuras, 1 apendice.[ES] Durante la fusión, los elementos traza y los isótopos estables sufren fraccionación mientras que los isótopos radiogénicos no varían. Como la distribución de los primeros entre las fases que intervienen sigue las leyes de las soluciones diluidas, se pueden establecer ecuaciones relativamente sencillas, que posibilitan la modelización del proceso. A su vez, el comportamiento de los isótopos radiogénicos hace que los magmas hereden la signatura del sólido del que derivar, lo que facilita la identificación del mismo. Las ecuaciones propuestas para los diferentes tipos de fusión indican que en la fusión en equilibrio la abundancia en el fundido de elementos traza altamente incompatibles alcanza valores muy elevados al comienzo del proceso y disminuye progresivamente al aumentar el grado de fusión, mientras que la concentración de los elementos compatibles crece lentamente al aumentar el porcentaje de fusión y bruscamente cuando éste alcanza valores muy altos. En la fusión fraccionada el primero de los líquidos que se genera removiliza casi completamente a todos los elementos altamente incompatibles del sistema, y los sucesivos líquidos producidos tienen muy baja concentración en dichos elementos. En la fusión incongruente se generan líquidos ricos en aquellos elementos traza que tienen altos coeficientes de reparto para las fases que funden y bajos para las de nueva formación, mientras que están empobrecidos en los elementos que entran en estas últimas fases. Si la fusión tiene lugar en presencia de una fase fluida el líquido está empobrecido, en relación al generado cuando dicha fase está ausente, en aquellos elementos que tienen coeficientes de reparto líquido-fluido aproximadamente iguales a la unidad, ya que una parte de los mismos se concentra en el fluido. Finalmente, en la fusión en desequilibrio o no difusión a la primera fracción de líquido que aparece tiene una concentración en elementos incompatibles superior y en elementos compatibles inferior a la del sólido del que deriva, con lo que la interfase sólido-líquido se empobrece y se enriquece, respectivamente. Sin embargo, al final del proceso la concentración de los elementos en el líquido se iguala a la que tenía la parte de sólido que ha fundido. Para modelizar la fusión parcid en equilibrio se pueden seguir dos vías diferentes, según se disponga o no de los coefcientes de reparto mineral-líquido y se conozcan o no los porcentajes en los que intervienen dichas fases. Si se dispone de dichos parámetros, se puede intentar duplicar las concentraciones elementales observadas en los líquidos primarios, previa selección de unas constantes razonables. Por el contrario, si no se conocen aquellos parámetros la mJdelización se puede llevar a cabo de forma distinta, según se disponga de la composición de los líquidos generados o del residuo. Si se conoce la composición de los líquidos generados, se utilizan las variaciones en las concentraciones elementales que presentan las rocas, mediante un ajuste simultáneo de todas ellas por resolución de un sistema de ecuaciones formado por las expresiones que describen el proceso, para un número suficiente de elementos, o bien independientemente para cada parámetro y elemento. A su vez, si se conoce la composición química de los residuos hay que suponer la composición del protolito y a partir del elemento más residual fijar los dos parámetros que quedan por conocer: el coeficiente de partición global residuofundido para los distintos elementos y el grado de fusión que ha sufrido cada restita, asumiendo, según proceda, el grado de fusión, el coeficiente de reparto global de uno de los elementos o la concentración del mismo.[EN] During melting processes both stable isotopes and trace elements fractionate, whereas radiogenic isotopes do not change. The distribution of the former between the phases that participate, follows diluted solutions laws in such a way that it is possible to establish relatively simple equations to model these processes. Additionally, the radiogenic isotopes behaviour implies that the magmas retain the source signature thus allowing its identification. In the case of equilibrium melting, the highly incompatible elements abundance is very high in the liquid at the beginning of the process and decreases progressively as the melting degree increases. On the contrary, the concentration in compatible elements grows very slowly during the first steps to increase sharply for the highest F values. During fractional melting, the first liquid generated removes almost all the incompatible elements thus producing a relative depletion in those elements in the successive liquids. In the case of incongruent melting, the magmas are enriched in the trace elements with high distribution coefficients for the phases that melt and low for the newly generated phases, and are impoverished in the elements that constitute the new phases. If melting is produced in the presence of a fluid phase, the liquid will be depleted in those elements with fluid/liquid distribution coefficients close to 1, rdative to the same liquid generated without a fluid phase. Finally, during disequilibrium or nondiffusive melting, the first liquid fraction has a concentration in incompatible dements higher and in compatible elements lower than that in the source, so the solid-liquid interface is depleted and enriched, respectively. However, at the end of the process the concentration of elements in the liquid is equated to the abundance in the solid that melted. To model equilibrium me1ting two diferent approaches can be followed, depending on the availability of the mineral-liquid distribution coefficients and the percentages in which the mineral phases have participated. When these parameters are known, it is possible to duplicate the concentrations observed in the primary liquids by selecting reasonable constants. On the contrary, when these parameters are unknown the approach to follow will depend on the knowledge of the cbmposition of the liquids or that of the residue. In the first case, the element concentrations of tbe rocks are used to obtain a simultaneous best-fit solution of a system constituted by tile equations that describe the process, either for a number of elements, or individually for each parameter and element. If the composition of the residue is known, it is necessary to guess the composition of the protolith. Then, from the most residual element the two remaining parameters (the residue- melt bulk distribution coefficient and the degree of melting of each restite) are defined, either assuming the degree of melting, the elements bulk distribution coefficient, or their concentration.Este trabajo se ha realizado dentro del Proyecto de Investigación PB92-lOS «Magmatismo intraplaca relacionado con puntos calientes en la Península Ibérica», financiado por la Dirección General de Investigación Científica y Técnica.Peer reviewe

Flopping-mode electric dipole spin resonance

Traditional approaches to controlling single spins in quantum dots require the generation of large electromagnetic fields to drive many Rabi oscillations within the spin coherence time. We demonstrate "flopping-mode" electric dipole spin resonance, where an electron is electrically driven in a Si/SiGe double quantum dot in the presence of a large magnetic field gradient. At zero detuning, charge delocalization across the double quantum dot enhances coupling to the drive field and enables low power electric dipole spin resonance. Through dispersive measurements of the single electron spin state, we demonstrate a nearly three order of magnitude improvement in driving efficiency using flopping-mode resonance, which should facilitate low power spin control in quantum dot arrays