Genuine multipartite entanglement in quantum phase transitions

TR de Oliveira, G Rigolin, MC de Oliveira - Physical Review A—Atomic …, 2006 - APS
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 …

Operational classification and quantification of multipartite entangled states

G Rigolin, TR de Oliveira, MC de Oliveira - Physical Review A—Atomic …, 2006 - APS
We formalize and extend an operational multipartite entanglement measure introduced by
TR Oliveira, G. Rigolin, and MC de Oliveira, Phys. Rev. A 73, 010305 (R)(2006), through 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 …

Genuine multipartite entanglement in the model

SM Giampaolo, BC Hiesmayr - Physical Review A—Atomic, Molecular, and …, 2013 - APS
We analyze the XY model characterized by an anisotropy γ in an external magnetic field, h,
with respect to its genuine multipartite entanglement content (in the thermodynamic and …

Nature and measure of entanglement in quantum phase transitions

R Somma, G Ortiz, H Barnum, E Knill, L Viola - Physical Review A—Atomic …, 2004 - APS
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 …

Entanglement and local extremes at an infinite-order quantum phase transition

CC Rulli, MS Sarandy - Physical Review A—Atomic, Molecular, and Optical …, 2010 - APS
The characterization of an infinite-order quantum phase transition (QPT) by entanglement
measures is analyzed. To this aim, we consider two closely related solvable spin-1/2 chains …

Visualizing elusive phase transitions with geometric entanglement

R Orús, TC Wei - Physical Review B—Condensed Matter and Materials …, 2010 - APS
We show that by examining the global geometric entanglement it is possible to identify
“elusive” or hard to detect quantum phase transitions. We analyze several one-dimensional …

Global entanglement and quantum phase transitions in the transverse XY Heisenberg chain

R Radgohar, A Montakhab - Physical Review B, 2018 - APS
We provide a study of various quantum phase transitions occurring in the XY Heisenberg
chain in a transverse magnetic field using the Meyer-Wallach (MW) measure of (global) …

Long-range multipartite entanglement close to a first-order quantum phase transition

J Stasińska, B Rogers, M Paternostro, G De Chiara… - Physical Review A, 2014 - APS
We provide insight into the quantum correlations structure present in strongly correlated
systems beyond the standard framework of bipartite entanglement. To this aim we first …

Multipartite entanglement and quantum phase transitions in the one-, two-, and three-dimensional transverse-field Ising model

A Montakhab, A Asadian - Physical Review A—Atomic, Molecular, and Optical …, 2010 - APS
In this paper we consider the quantum phase transition in the Ising model in the presence of
a transverse field in one, two, and three dimensions from a multipartite entanglement point of …