The classical-quantum boundary for correlations:<? format?> Discord and related measures

K Modi, A Brodutch, H Cable, T Paterek, V Vedral - Reviews of Modern Physics, 2012 - APS
One of the best signatures of nonclassicality in a quantum system is the existence of
correlations that have no classical counterpart. Different methods for quantifying the …

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 …

Fidelity approach to quantum phase transitions

SJ Gu - International Journal of Modern Physics B, 2010 - World Scientific
We review the quantum fidelity approach to quantum phase transitions in a pedagogical
manner. We try to relate all established but scattered results on the leading term of the …

Classical correlation and quantum discord in critical systems

MS Sarandy - Physical Review A—Atomic, Molecular, and Optical …, 2009 - APS
We discuss the behavior of quantum and classical pairwise correlations in critical systems,
with the quantumness of the correlations measured by the quantum discord. We analytically …

Density functionals and model Hamiltonians: Pillars of many-particle physics

K Capelle, VL Campo Jr - Physics Reports, 2013 - Elsevier
Density-functional theory (DFT) and model Hamiltonians are conceptually distinct
approaches to the many-particle problem, which can be developed and applied …

Entanglement, fidelity, and topological entropy in a quantum phase transition to topological order

A Hamma, W Zhang, S Haas, DA Lidar - Physical Review B—Condensed …, 2008 - APS
We present a numerical study of a quantum phase transition from a spin-polarized to a
topologically ordered phase in a system of spin-1∕ 2 particles on a torus. We demonstrate …

Quantum entanglement and quantum phase transition in the model with staggered Dzyaloshinskii-Moriya interaction

FW Ma, SX Liu, XM Kong - Physical Review A—Atomic, Molecular, and Optical …, 2011 - APS
We study the quantum entanglement and quantum phase transition (QPT) of the anisotropic
spin-1/2 XY model with staggered Dzyaloshinskii-Moriya (DM) interaction by means of the …

Entanglement and density-functional theory: Testing approximations on Hooke's atom

JP Coe, A Sudbery, I D'amico - Physical Review B—Condensed Matter and …, 2008 - APS
We present two methods of calculating the spatial entanglement of an interacting electron
system within the framework of density-functional theory. These methods are tested on the …

Sublattice entanglement and quantum phase transitions in antiferromagnetic spin chains

Y Chen, P Zanardi, ZD Wang… - New Journal of Physics, 2006 - iopscience.iop.org
Entanglement of the ground states in the S= 1/2 XXZ chain, dimerized Heisenberg spin
chain, two-leg spin ladders as well as S= 1 anisotropic Haldane chain is analysed using the …

Characterization of quantum phase transition using holographic entanglement entropy

Y Ling, P Liu, JP Wu - Physical Review D, 2016 - APS
The entanglement exhibits extremal or singular behavior near quantum critical points
(QCPs) in many condensed matter models. These intriguing phenomena, however, still call …