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 …

Quantum correlations in spin chains at finite temperatures and quantum phase transitions

T Werlang, C Trippe, GAP Ribeiro, G Rigolin - Physical review letters, 2010 - APS
We compute the quantum correlation [quantum discord (QD)] and the entanglement (EOF)
between nearest-neighbor qubits (spin-1/2) in an infinite chain described by the Heisenberg …

Measure of genuine multipartite entanglement with computable lower bounds

ZH Ma, ZH Chen, JL Chen, C Spengler, A Gabriel… - Physical Review A …, 2011 - APS
We introduce an intuitive measure of genuine multipartite entanglement, which is based on
the well-known concurrence. We show how lower bounds on this measure can be derived …

Genuinely multipartite concurrence of -qubit matrices

SM Hashemi Rafsanjani, M Huber, CJ Broadbent… - Physical Review A …, 2012 - APS
We find an algebraic formula for the N-partite concurrence of N qubits in an X matrix. X
matrices are density matrices whose only nonzero elements are diagonal or antidiagonal …

Entanglement in neutrino oscillations

M Blasone, F Dell'Anno, S De Siena… - Europhysics …, 2009 - iopscience.iop.org
Flavor oscillations in elementary particle physics are related to multimode entanglement of
single-particle states. We show that mode entanglement can be expressed in terms of flavor …

Quantum correlations, entanglement spectrum, and coherence of the two-particle reduced density matrix in the extended Hubbard model

DLB Ferreira, TO Maciel, RO Vianna, F Iemini - Physical Review B, 2022 - APS
We study the ground state properties of the one-dimensional extended Hubbard model at
half filling from the perspective of its particle reduced density matrix. We focus on the …

Multipartite entanglement signature of quantum phase transitions

TR de Oliveira, G Rigolin, MC de Oliveira, E Miranda - Physical review letters, 2006 - APS
We derive a general relation between the nonanalyticities of the ground state energy and
those of a subclass of the multipartite generalized global entanglement (GGE) measure …

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 …