107 citations · 571 across the 29 of their papers we have counts for
29 papers
A Schelling model with a variable treshold in a closed city segregation model. Analysis of the universality classes
Diego Ortega, Javier Rodríguez-Laguna, Elka Korutcheva
Residential segregation is analyzed via the Schelling model, in which two types of agents attempt to optimize their situation according to certain preferences and tolerance levels.…
Link representation of the entanglement entropies for all bipartitions
Sudipto Singha Roy, Silvia N. Santalla, Germán Sierra +1
We have recently shown that the entanglement entropy of any bipartition of a quantum state can be approximated as the sum of certain link strengths connecting internal and external…
Effects of confinement and vaccination on an epidemic outburst: a statistical mechanics approach
Óscar Toledano, Begoña Mula, Silvia N. Santalla +2
This work describes a simple agent model for the spread of an epidemic outburst, with special emphasis on mobility and geographical considerations, which we characterize via statis…
Avalanches in an extended Schelling model: an explanation of urban gentrification
Diego Ortega, Javier Rodríguez-Laguna, Elka Korutcheva
In this work we characterize sudden increases in the land price of certain urban areas, a phenomenon causing gentrification, via an extended Schelling model. An initial price rise…
Optimizing the spatial spread of a quantum walk
Gonzalo Martín-Vázquez, Javier Rodríguez-Laguna
We devise a protocol to build 1D time-dependent quantum walks in 1D maximizing the spatial spread throughout the procedure. We allow only one of the physical parameters of the coin…
Casimir forces on deformed fermionic chains
Begoña Mula, Silvia N. Santalla, Javier Rodríguez-Laguna
We characterize the Casimir forces for the Dirac vacuum on free-fermionic chains with smoothly varying hopping amplitudes, which correspond to (1+1)D curved spacetimes with a stati…
Random walkers on a deformable medium
Carlos Lajusticia-Costan, Silvia N. Santalla, Javier Rodríguez-Laguna +1
We consider random walkers that deform the medium as they move, enabling a faster motion in regions which have been recently visited. This induces an effective attraction between w…
Piercing the rainbow: entanglement on an inhomogeneous spin chain with a defect
Nadir Samos Sáenz de Buruaga, Silvia N. Santalla, Javier Rodríguez-Laguna +1
The {\em rainbow state} denotes a set of valence bond states organized concentrically around the center of a spin 1/2 chain. It is the ground state of an inhomogeneous XX Hamiltoni…
Nanowire reconstruction under external magnetic fields
Eva M. Fernández, Silvia N. Santalla, José Enrique Alvarellos +1
We consider the different structures that a magnetic nanowire adsorbed on a surface may adopt under the influence of external magnetic or electric fields. First, we propose a theor…
Efficient computation of matrix elements of generic Slater determinants
Javier Rodríguez-Laguna, Luis Miguel Robledo, Jorge Dukelsky
We present an extension of the Löwdin strategy to find arbitrary matrix elements of generic Slater determinants. The new method applies to arbitrary number of fermionic operators,…
Entanglement as geometry and flow
Sudipto Singha Roy, Silvia N. Santalla, Javier Rodríguez-Laguna +1
We explore the connection between the area law for entanglement and geometry by representing the entanglement entropies corresponding to all bipartitions of an -party pure…
Breaking the Area Law: The Rainbow State
Giovanni Ramírez, Javier Rodríguez-Laguna, Germán Sierra
An exponential deformation of a 1D critical Hamiltonian, with couplings falling on a length scale , gives rise to ground states whose entanglement entropy follows a volume…
Symmetry protected phases in inhomogeneous spin chains
Nadir Samos Sáenz de Buruaga, Silvia N. Santalla, Javier Rodríguez-Laguna +1
It has been shown recently that inhomogenous spin chains can exhibit exotic phenomena such as the breaking of the area law of the entanglement entropy. An example is given by the r…
Engineering large end-to-end correlations in finite fermionic chains
Hernán Santos, José E. Alvarellos, Javier Rodríguez-Laguna
We explore deformations of finite chains of independent fermions which give rise to large correlations between their extremes. After a detailed study of the Su-Schrieffer-Heeger (S…
Kardar-Parisi-Zhang Universality in First-Passage Percolation: the Role of Geodesic Degeneracy
Pedro Córdoba-Torres, Silvia N. Santalla, Rodolfo Cuerno +1
We have characterized the scaling behavior of the first-passage percolation (FPP) model on two types of discrete networks, the regular square lattice and the disordered Delaunay la…
Tachyonic quench in a free bosonic field theory
Sebastian Montes, Javier Rodríguez-Laguna, Germán Sierra
We present a characterization of a bosonic field theory driven by a free (Gaussian) tachyonic Hamiltonian. This regime is obtained from a theory describing two coupled bosonic fiel…
Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems
Erik Tonni, Javier Rodríguez-Laguna, Germán Sierra
Inhomogeneous quantum critical systems in one spatial dimension have been studied by using conformal field theory in static curved backgrounds. Two interesting examples are the fre…
The BCS wave function, matrix product states, and the Ising conformal field theory
Sebastian Montes, Javier Rodríguez-Laguna, Germán Sierra
We present a characterization of the many-body lattice wave functions obtained from the conformal blocks (CBs) of the Ising conformal field theory (CFT). The formalism is interpret…
A null model for Dunbar's circles
Manuel Jiménez-Martín, Silvia N. Santalla, Javier Rodríguez-Laguna +1
An individual's social group may be represented by their ego-network, formed by the links between the individual and their acquaintances. Ego-networks present an internal structure…
More on the rainbow chain: entanglement, space-time geometry and thermal states
Javier Rodríguez-Laguna, Jérôme Dubail, Giovanni Ramírez +2
The rainbow chain is an inhomogenous exactly solvable local spin model that, in its ground state, displays a half-chain entanglement entropy growing linearly with the system size.…
Many-body Lattice Wavefunctions From Conformal Blocks
Sebastian Montes, Javier Rodríguez-Laguna, Hong-Hao Tu +1
We introduce a general framework to construct many-body lattice wavefunctions starting from the conformal blocks (CBs) of rational conformal field theories (RCFTs). We discuss the…
Fourier-space entanglement of spin chains
Miguel Ibáñez-Berganza, Javier Rodríguez-Laguna, Germán Sierra
Entanglement between different regions in momentum space is studied for ground states of some spin-chain Hamiltonians: the XY model, the Ising model in a transverse field (ITF) and…
Entanglement in correlated random spin chains, RNA folding and kinetic roughening
Javier Rodríguez-Laguna, Silvia N. Santalla, Giovanni Ramírez +1
Average block entanglement in the 1D XX-model with uncorrelated random couplings is known to grow as the logarithm of the block size, in similarity to conformal systems. In this wo…
Entanglement over the rainbow
Giovanni Ramírez, Javier Rodríguez-Laguna, Germán Sierra
In one dimension the area law for the entanglement entropy is violated maximally by the ground state of a strong inhomogeneous spin chain, the so called concentric singlet phase (C…