Entanglement in many-body systems

L Amico, R Fazio, A Osterloh, V Vedral - Reviews of modern physics, 2008 - APS
Recent interest in aspects common to quantum information and condensed matter has
prompted a flurry of activity at the border of these disciplines that were far distant until a few …

Genuine quantum correlations in quantum many-body systems: a review of recent progress

G De Chiara, A Sanpera - Reports on Progress in Physics, 2018 - iopscience.iop.org
Quantum information theory has considerably helped in the understanding of quantum many-
body systems. The role of quantum correlations and in particular, bipartite entanglement …

Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond

M Lewenstein, A Sanpera, V Ahufinger… - Advances in …, 2007 - Taylor & Francis
We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

Entanglement entropy dynamics of Heisenberg chains

G De Chiara, S Montangero… - Journal of Statistical …, 2006 - iopscience.iop.org
By means of the time dependent density matrix renormalization group algorithm we study
the zero-temperature dynamics of the Von Neumann entropy of a block of spins in a …

Multipartite entanglement in spin chains

O Gühne, G Tóth, HJ Briegel - New Journal of Physics, 2005 - iopscience.iop.org
We investigate the presence of multipartite entanglement in macroscopic spin chains. We
discuss the Heisenberg and the XY model and derive bounds on the internal energy for …

Geometric measure of entanglement for symmetric states

R Hübener, M Kleinmann, TC Wei… - Physical Review A …, 2009 - APS
Is the closest product state to a symmetric entangled multiparticle state also symmetric? This
question has appeared in the recent literature concerning the geometric measure of …

Criticality and factorization in the Heisenberg chain with Dzyaloshinskii-Moriya interaction

TC Yi, WL You, N Wu, AM Oleś - Physical Review B, 2019 - APS
In this work, we address the ground-state properties of the anisotropic spin-1/2 Heisenberg
XYZ chain under the interplay of magnetic fields and the Dzyaloshinskii-Moriya (DM) …

Hierarchies of geometric entanglement

M Blasone, F Dell'Anno, S De Siena, F Illuminati - Physical Review A—Atomic …, 2008 - APS
We introduce a class of generalized geometric measures of entanglement. For pure
quantum states of N elementary subsystems, they are defined as the distances from the sets …

Multiqubit symmetric states with high geometric entanglement

J Martin, O Giraud, PA Braun, D Braun, T Bastin - Physical Review A—Atomic …, 2010 - APS
We propose a detailed study of the geometric entanglement properties of pure symmetric N-
qubit states, focusing more particularly on the identification of symmetric states with a high …

Gapped quantum liquids and topological order, stochastic local transformations and emergence of unitarity

B Zeng, XG Wen - Physical Review B, 2015 - APS
In this work, we present some new understanding of topological order, including three main
aspects.(1) It was believed that classifying topological orders corresponds to classifying …