activity
19992025
most citedEquipartition of the Entanglement Entropy

188 citations · 555 across the 15 of their papers we have counts for

collaborators

16 papers

cond-mat.stat-mech2025

Free fermionic and parafermionic multispin quantum chains with non-homogeneous interacting ranges

Francisco C. Alcaraz

A large family of multispin interacting one-dimensional quantum spin models with symmetry and a free-particle eigenspectra are known in the literature. They are free-fermion…

cond-mat.stat-mech2024

Conformally invariant free parafermionic quantum chains with multispin interactions

Francisco C. Alcaraz, Lucas M. Ramos

We calculated the spectral properties of two related families of non-Hermitian free-particle quantum chains with -multispin interactions (). The first family have…

cond-mat.stat-mech2018★ 188 cited

Equipartition of the Entanglement Entropy

J. C. Xavier, F. C. Alcaraz, G. Sierra

The entanglement in a quantum system that possess an internal symmetry, characterized by the Sz-magnetization or U(1)-charge, is distributed among different sectors. The aim of thi…

cond-mat.stat-mech2016★ 15 cited

Universal behavior of the Shannon mutual information in non-integrable self-dual quantum chains

F. C. Alcaraz

An existing conjecture states that the Shannon mutual information contained in the ground state wavefunction of conformally invariant quantum chains, on periodic lattices, has a le…

hep-th2015★ 40 cited

Holographic entanglement entropy and the internal space

Andreas Karch, Christoph F. Uhlemann

We elaborate on the role of extremal surfaces probing the internal space in AdS/CFT. Extremal surfaces in AdS quantify the "geometric" entanglement between different regions in phy…

cond-mat.stat-mech2014★ 3 cited

Non-contractible loops in the dense O(n) loop model on the cylinder

F. C. Alcaraz, J. G. Brankov, V. B. Priezzhev +2

A lattice model of critical dense polymers is considered for the finite cylinder geometry. Due to the presence of non-contractible loops with a fixed fugacity , the model…

cond-mat.stat-mech2014★ 45 cited

Universal behavior of the Shannon and Rényi mutual information of quantum critical chains

F. C. Alcaraz, M. A. Rajabpour

We study the Shannon and Rényi mutual information (MI) in the ground state (GS) of different critical quantum spin chains. Despite the apparent basis dependence of these quantities…

cond-mat.stat-mech2013★ 69 cited

Universal behavior of the Shannon mutual information of critical quantum chains

F. C. Alcaraz, M. A. Rajabpour

We consider the Shannon mutual information of subsystems of critical quantum chains in their ground states. Our results indicate a universal leading behavior for large subsystem si…

cond-mat.stat-mech2013★ 59 cited

Entanglement Entropies in Conformal Systems with Boundaries

L. Taddia, J. C. Xavier, F. C. Alcaraz +1

We study the entanglement entropies in one-dimensional open critical systems, whose effective description is given by a conformal field theory with boundaries. We show that for pur…

cond-mat.stat-mech2011★ 43 cited

Finite-size corrections of the Entanglement Entropy of critical quantum chains

J. C. Xavier, F. C. Alcaraz

Using the density matrix renormalization group, we calculated the finite-size corrections of the entanglement -Renyi entropy of a single interval for several critical quantum ch…

cond-mat.stat-mech2011★ 28 cited

Precise Determination of Quantum Critical Points by the Violation of the Entropic Area Law

J. C. Xavier, F. C. Alcaraz

Finite-size scaling analysis turns out to be a powerful tool to calculate the phase diagram as well as the critical properties of two dimensional classical statistical mechanics mo…

quant-ph2008★ 20 cited

Finite Size Corrections to Entanglement in Quantum Critical Systems

F. C. Alcaraz, M. S. Sarandy

We analyze the finite size corrections to entanglement in quantum critical systems. By using conformal symmetry and density functional theory, we discuss the structure of the finit…

cond-mat.stat-mech2002★ 7 cited

The Wave Functions for the Free-Fermion Part of the Spectrum of the Quantum Spin Models

F. C. Alcaraz, Yu. G. Stroganov

We conjecture that the free-fermion part of the eigenspectrum observed recently for the Perk-Schultz spin chain Hamiltonian in a finite lattice with …

cond-mat.stat-mech2002★ 4 cited

Free fermion branches in some quantum spin models

F. C. Alcaraz, Yu. G. Stroganov

Extensive numerical analysis of the eigenspectra of the invariant Perk-Schultz Hamiltonian shows some simple regularities for a significant part of the eigenspectrum. Ins…

cond-mat.stat-mech2002★ 8 cited

The Finite Size SU(3) Perk-Schultz Model with Deformation Parameter q=exp(i 2 pi/3)

F. C. Alcaraz, Y. Stroganov

From extensive numeric diagonalizations of the SU(3) Perk-Schultz Hamiltonian with a special value of the anisotropy and different boundary conditions, we have observed simple regu…

cond-mat.stat-mech1999★ 26 cited

Critical and off-critical studies of the Baxter-Wu model with general toroidal boundary conditions

F. C. Alcaraz, J. C. Xavier

The operator content of the Baxter-Wu model with general toroidal boundary conditions is calculated analytically and numerically. These calculations were done by relating the parti…