We develop a general theory of the relation between quantum phase transitions (QPTs)
characterized by nonanalyticities in the energy and bipartite entanglement. We derive a …

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 …

We show that, for an exactly solvable quantum spin model, a discontinuity in the first
derivative of the ground-state concurrence appears in the absence of a quantum phase …

Characterizing and quantifying quantum correlations in states of many-particle systems is at
the core of a full understanding of phase transitions in matter. In this work, we continue our …

We analyze correlations between subsystems for an extended Hubbard model exactly
solvable in one dimension, which exhibits a rich structure of quantum phase transitions …

We analyze the statistical properties of the entanglement of a large bipartite quantum
system. By framing the problem in terms of random matrices and a fictitious temperature, we …

Density-functional theory (DFT) is shown to provide a conceptual and computational
framework for entanglement in interacting many-body quantum systems. DFT can, in …

We investigate the scaling and spatial distribution of genuine multiparticle entanglement in
three-and four-spin reduced states of the one-dimensional XY model at the quantum phase …

We demonstrate that the global-entanglement (GE) measure defined by Meyer and Wallach
[J. Math. Phys. 43, 4273 (2002)] is maximal at the critical point for the Ising chain in a …

We study the pairwise entanglement close to separable ground states of a class of one-
dimensional quantum spin models. At T= 0 we find that such ground states separate regions …