Javier Rodríguez-Laguna
YOU?
Author Swipe
Entanglement Halos Open
We introduce the concept of entanglement halos, a set of strongly entangled distant sites within the ground state of a quantum many-body system. Such halos emerge in star-like systems with exponentially decaying couplings, as we show using…
Universal fluctuations of global geometrical measurements in planar clusters Open
We characterize universal features of the sample-to-sample fluctuations of global geometrical observables, such as the area, width, length, and center-of-mass position, in random growing planar clusters. Our examples are taken from simulat…
Shape effects in the fluctuations of random isochrones on a square lattice Open
We consider the isochrone curves in first-passage percolation on a 2D square lattice, i.e. the boundary of the set of points which can be reached in less than a given time from a certain origin. The occurrence of an instantaneous average s…
Long term behavior of the stirred vacuum on a Dirac chain: geometry blur and the random Slater ensemble Open
We characterize the long-term state of the 1D Dirac vacuum stirred by an impenetrable object, modeled as the ground state of a finite free-fermionic chain dynamically perturbed by a moving classical obstacle which suppresses the local hopp…
Entanglement links and the quasiparticle picture Open
The time evolution of a quantum state with short-range correlations after a quench to a one-dimensional critical Hamiltonian can be understood using the quasiparticle picture, which states that local entanglement spreads as if it was carri…
The Restricted Boltzmann Machine Ansatz through Adiabiatic Routes Open
We discuss the expressive power of the quantum restricted Boltzmann machine Ansatz in order to represent faithfully the operation process of a quantum spin-glass system undergoing an adiabatic quantum computation process. We address both t…
Depletion in fermionic chains with inhomogeneous hoppings Open
The ground state of a free-fermionic chain with inhomogeneous hoppings at half-filling can be mapped into the Dirac vacuum on a static curved space-time, which presents exactly homogeneous occupations due to particle-hole symmetry. Yet, fa…
Depletion in fermionic chains with inhomogeneous hoppings Open
The ground state of a free-fermionic chain with inhomogeneous hoppings at half-filling can be mapped into the Dirac vacuum on a static curved space-time, which presents exactly homogeneous occupations due to particle-hole symmetry. Yet, fa…
Entanglement links and the quasiparticle picture Open
The time evolution of a quantum state with short-range correlations after a quench to a one-dimensional critical Hamiltonian can be understood using the quasi-particle picture, which states that local entanglement spreads as if it was carr…
Ergotropy and entanglement in critical spin chains Open
A subsystem of an entangled ground state is in a mixed state. Thus, if we isolate this subsystem from its surroundings we may be able to extract work applying unitary transformations, up to a maximal amount which is called ergotropy. Once …
Exotic correlation spread in free-fermionic states with initial patterns Open
We describe a relation between the light-cone velocities after a quantum quench and the internal structure of the initial state, in the particular case of free fermions on a chain at half filling. The considered states include short-range …
Exotic correlation spread in free-fermionic states with initial patterns Open
We describe a relation between the light-cone velocities after a quantum quench and the internal structure of the initial state, in the particular case of free fermions on a chain at half filling. The considered states include short-range …
Entanglement in noncritical inhomogeneous quantum chains Open
We study an inhomogeneous critical Ising chain in a transverse field whose couplings decay exponentially from the center. In the strong inhomogeneity limit we apply Fisher's renormalization group to show that the ground state is formed by …
Effects of confinement and vaccination on an epidemic outburst: A statistical mechanics approach Open
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 statistical mechanics and numerical simulations. As the mobility …
Random walkers on a deformable medium Open
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 walkers mediated by the medium, which can be regarded as a s…
Link representation of the entanglement entropies for all bipartitions Open
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 sites. The representation is useful to unveil the geometry…
Bulk-edge correspondence in the Haldane phase of the bilinear-biquadratic spin-1 Hamiltonian Open
The Haldane phase is the prototype of symmetry protected topological (SPT) phases of spin chain systems. It can be protected by several symmetries having in common the degeneracy of the entanglement spectrum (ES). Here we explore in depth …
Effects of confinement and vaccination on an epidemic outburst: a\n statistical mechanics approach Open
This work describes a simple agent model for the spread of an epidemic\noutburst, with special emphasis on mobility and geographical considerations,\nwhich we characterize via statistical mechanics and numerical simulations. As\nthe mobili…
Optimizing the spatial spread of a quantum walk Open
We devise a protocol to build 1D time-dependent quantum walks in 1D maximizing the spatial
\nspread throughout the procedure. We allow only one of the physical parameters of the coin-tossing
\noperator to vary, i.e. the angle θ, such that …
Roughness and avalanches in an extended Schelling model: an explanation of urban gentrification Open
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. Several variants of this work are focused on urban or soci…
First-passage percolation under extreme disorder: From bond percolation to Kardar-Parisi-Zhang universality Open
We consider the statistical properties of arrival times and balls on first-passage percolation (FPP) two-dimensional square lattices with strong disorder in the link times. A previous work showed a crossover in the weak disorder regime, be…
Entanglement as geometry and flow Open
We explore the connection between the area law for entanglement and geometry by representing the entanglement entropies corresponding to all 2N bipartitions of an N-party pure quantum system by means of a (generalized) adjacency matrix. In…
Piercing the rainbow state: Entanglement on an inhomogeneous spin chain with a defect Open
The 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 Hamiltonian and presents a maximal violation of the area law of entangleme…
Efficient computation of matrix elements of generic Slater determinants Open
We present an extension of the L\\"owdin strategy to find arbitrary matrix\nelements of generic Slater determinants. The new method applies to arbitrary\nnumber of fermionic operators, even in the case of a singular overlap matrix.\n