7,485 research outputs found
Dimensionality reduction and spectral properties of multilayer networks
Network representations are useful for describing the structure of a large
variety of complex systems. Although most studies of real-world networks
suppose that nodes are connected by only a single type of edge, most natural
and engineered systems include multiple subsystems and layers of connectivity.
This new paradigm has attracted a great deal of attention and one fundamental
challenge is to characterize multilayer networks both structurally and
dynamically. One way to address this question is to study the spectral
properties of such networks. Here, we apply the framework of graph quotients,
which occurs naturally in this context, and the associated eigenvalue
interlacing results, to the adjacency and Laplacian matrices of undirected
multilayer networks. Specifically, we describe relationships between the
eigenvalue spectra of multilayer networks and their two most natural quotients,
the network of layers and the aggregate network, and show the dynamical
implications of working with either of the two simplified representations. Our
work thus contributes in particular to the study of dynamical processes whose
critical properties are determined by the spectral properties of the underlying
network.Comment: minor changes; pre-published versio
Fausto Barajas : "El diestro que nunca fracasa"
Copia digital. Valladolid : Junta de Castilla y León. Consejería de Cultura y Turismo, 201
Ignacio Sánchez Mejías : "Vencedor de la muerte"
Copia digital. Valladolid : Junta de Castilla y León. Consejería de Cultura y Turismo, 2011En port. consta: Con este número se regala una postal de Ignacio Sánchez Mejía
Antonio Cañero : "El torero de guante blanco"
Copia digital. Valladolid : Junta de Castilla y León. Consejería de Cultura y Turismo, 2011Por tip. se deduce impreso en la primera mitad del siglo XXEn port. consta: Con este número se regala una postal de Antonio Cañer
Information theory of quantum systems with some hydrogenic applications
The information-theoretic representation of quantum systems, which
complements the familiar energy description of the density-functional and
wave-function-based theories, is here discussed. According to it, the internal
disorder of the quantum-mechanical non-relativistic systems can be quantified
by various single (Fisher information, Shannon entropy) and composite (e.g.
Cramer-Rao, LMC shape and Fisher-Shannon complexity) functionals of the
Schr\"odinger probability density. First, we examine these concepts and its
application to quantum systems with central potentials. Then, we calculate
these measures for hydrogenic systems, emphasizing their predictive power for
various physical phenomena. Finally, some recent open problems are pointed out.Comment: 9 pages, 3 figure
Full two-photon downconversion of just a single photon
We demonstrate, both numerically and analytically, that it is possible to
generate two photons from one and only one photon. We characterize the output
two photon field and make our calculations close to reality by including
losses. Our proposal relies on real or artificial three-level atoms with a
cyclic transition strongly coupled to a one-dimensional waveguide. We show that
close to perfect downconversion with efficiency over 99% is reachable using
state-of-the-art Waveguide QED architectures such as photonic crystals or
superconducting circuits. In particular, we sketch an implementation in circuit
QED, where the three level atom is a transmon
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