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Related papers: Entanglement Entropy of One-dimensional Gapped Spi…

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We carry out a numerical study of the bi-partite entanglement entropy in the gapped regime of two paradigmatic quantum spin chain models: the Ising chain in an external magnetic field and the anti-ferromagnetic XXZ model. The universal…

High Energy Physics - Theory · Physics 2013-10-30 Emanuele Levi , Olalla A. Castro-Alvaredo , Benjamin Doyon

We calculate the bipartite von Neumann and second R\'enyi entanglement entropies of the ground states of spin-1/2 dimerized Heisenberg antiferromagnets on a square lattice. Two distinct dimerization patterns are considered: columnar and…

Strongly Correlated Electrons · Physics 2019-08-13 Leonardo S. G. Leite , R. L. Doretto

We study the dynamics of entanglement in the one-dimensional spin-1/2 XY model in the presence of a transverse magnetic field. A pair of spins are considered as an open quantum system, while the rest of the chain plays the role of the…

Statistical Mechanics · Physics 2019-10-22 Z. Saghafi , Z. Shadman , E. Hosseini Lapasar , S. Mahdavifar

We investigate the symmetry resolution of entanglement in the presence of long-range couplings. To this end, we study the symmetry-resolved entanglement entropy in the ground state of a fermionic chain that has dimerised long-range hoppings…

Statistical Mechanics · Physics 2022-06-22 Filiberto Ares , Sara Murciano , Pasquale Calabrese

In this letter we report our results in investigating edge effects of open antiferromagnetic Heisenberg spin chains with spin magnitudes $S=1/2, 1,3/2,2$ using the density-matrix renormalization group (DMRG) method initiated by White. For…

Condensed Matter · Physics 2009-10-28 Shaojin Qin , Tai-Kai Ng , Zhao-Bin Su

Quantum one-dimensional systems in their ordered phase admit kinks as elementary excitations above their symmetry-broken vacua. While the scattering properties of the kinks resemble those of quasiparticles, they have distinct locality…

Strongly Correlated Electrons · Physics 2025-11-12 Luca Capizzi , Michele Mazzoni

We compute the von Neumann and generalized R\'{e}nyi entanglement entropies in the ground-state of the spin-1/2 antiferromagnetic Heisenberg model on the square lattice using the modified spin-wave theory for finite lattices. The addition…

Strongly Correlated Electrons · Physics 2011-07-06 H. Francis Song , Nicolas Laflorencie , Stephan Rachel , Karyn Le Hur

We analyze the entanglement entropy in the Lipkin-Meshkov-Glick model, which describes mutually interacting spins half embedded in a magnetic field. This entropy displays a singularity at the critical point that we study as a function of…

Statistical Mechanics · Physics 2007-05-23 J. I. Latorre , R. Orus , E. Rico , J. Vidal

We compute the bipartite entanglement properties of the spin-half square-lattice Heisenberg model by a variety of numerical techniques that include valence bond quantum Monte Carlo (QMC), stochastic series expansion QMC, high temperature…

Strongly Correlated Electrons · Physics 2013-04-16 Ann B. Kallin , Matthew B. Hastings , Roger G. Melko , Rajiv R. P. Singh

We investigate bipartite entanglement in spin-1/2 systems on a generic lattice. For states that are an equal superposition of elements of a group $G$ of spin flips acting on the fully polarized state $\ket{0}^{\otimes n}$, we find that the…

Quantum Physics · Physics 2007-05-23 Alioscia Hamma , Radu Ionicioiu , Paolo Zanardi

We show that the low-energy sector of the S=1/2, antiferromagnetic Heisenberg model on a one-dimensional lattice of coupled tetrahedra consists of 2^N replica of the spectrum of the dimerized Heisenberg chain, where N is the number of…

Strongly Correlated Electrons · Physics 2009-10-31 M. Mambrini , J. Trebosc , F. Mila

This work presents a study of the entanglement entropy (EE) in a class of four-dimensional ${\cal N}=1$ linear quiver SCFTs deformed by the presence of a VEV. We review the holographic backgrounds dual to these theories, and calculate the…

High Energy Physics - Theory · Physics 2025-09-25 Dimitrios Chatzis , Ali Fatemiabhari , Mauro Giliberti , Madison Hammond

We study the two-spin entanglement distribution along the infinite $S=1/2$ chain described by the XY model in a transverse field; closed analytical expressions are derived for the one-tangle and the concurrences $C_r$, $r$ being the…

Quantum Physics · Physics 2007-09-27 Fabrizio Baroni , Andrea Fubini , Valerio Tognetti , Paola Verrucchi

We give an analytical description of long distance entanglement (LDE) mediated by one-dimensional quantum spin chains recently found in numerical studies. We develop a formalism that allows the computation of LDE for weakly interacting…

Quantum Physics · Physics 2008-04-10 A. Ferreira , J. M. B. Lopes dos Santos

We present a detailed study of the fidelity, the entanglement entropy, and the entanglement spectrum, for a dimerized chain of spinless fermions---a simplified Su-Schrieffer-Heeger (SSH) model---with open boundary conditions which is a…

Strongly Correlated Electrons · Physics 2014-10-22 J. Sirker , M. Maiti , N. P. Konstantinidis , N. Sedlmayr

For a massive spin 1/2 field, we present the reduced spin and helicity density matrix, respectively, for the same pure one particle state. Their relation has also been developed. Furthermore, we calculate and compare the corresponding…

Quantum Physics · Physics 2008-11-26 Song He , Shuxin Shao , Hongbao Zhang

The correlations, entanglement entropy, and fidelity susceptibility are calculated for a one-dimensional spin-1/2 XXZ chain with anisotropic power-law long range interactions by employing the density matrix renormalization group method. In…

Strongly Correlated Electrons · Physics 2020-03-11 Jie Ren , Wen-Long You , Xiaoqun Wang

The valence-bond structure of spin-1/2 Heisenberg antiferromagnets is closely related to quantum entanglement. We investigate measures of entanglement entropy based on transition graphs, which characterize state overlaps in the overcomplete…

Strongly Correlated Electrons · Physics 2010-12-27 Yu-Cheng Lin , Anders W. Sandvik

An exponential deformation of 1D critical Hamiltonians gives rise to ground states whose entanglement entropy satisfies a volume-law. This effect is exemplified in the XX and Heisenberg models. In the XX case we characterize the crossover…

Strongly Correlated Electrons · Physics 2014-11-03 Giovanni Ramírez , Javier Rodríguez-Laguna , Germán Sierra

We study entanglement in dimerized Heisenberg systems. In particular, we give exact results of ground-state pairwise entanglement for the four-qubit model by identifying a Z_2 symmetry. Although the entanglements cannot identify the…

Quantum Physics · Physics 2015-06-26 Zhe Sun , XiaoGuang Wang , AnZi Hu , You-Quan Li