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

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 …

Unentangled pure states on a bipartite system are exactly the coherent states with respect to
the group of local transformations. What aspects of the study of entanglement are applicable …

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 …

We discuss on general grounds some local indicators of entanglement that have been
proposed recently for the study and classification of quantum phase transitions. In particular …

We investigate the geometric characterization of pure state bipartite entanglement of (2× D)-
and (3× D)-dimensional composite quantum systems. To this aim, we analyze the …

We consider quantum states under the renormalization-group (RG) transformations
introduced by Verstraete [Phys. Rev. Lett. 94, 140601 (2005)] PRLTAO 0031-9007 …