Divergence of the entanglement range in low-dimensional quantum systems

L Amico, F Baroni, A Fubini, D Patane, V Tognetti… - Physical Review A …, 2006 - APS
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 …

Quantum phase transitions in fully connected spin models: An entanglement perspective

M Filippone, S Dusuel, J Vidal - Physical Review A—Atomic, Molecular, and …, 2011 - APS
We consider a set of fully connected spin models that display first-or second-order
transitions and for which we compute the ground-state entanglement in the …

Two-point versus multipartite entanglement in quantum phase transitions

A Anfossi, P Giorda, A Montorsi, F Traversa - Physical review letters, 2005 - APS
We analyze correlations between subsystems for an extended Hubbard model exactly
solvable in one dimension, which exhibits a rich structure of quantum phase transitions …

Phase transitions of bipartite entanglement

P Facchi, U Marzolino, G Parisi, S Pascazio… - Physical review …, 2008 - APS
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 …

Symmetry-breaking effects upon bipartite and multipartite entanglement in the model

TR de Oliveira, G Rigolin, MC de Oliveira… - Physical Review A …, 2008 - APS
We analyze the bipartite and multipartite entanglement for the ground state of the one-
dimensional XY model in a transverse magnetic field in the thermodynamical limit. We …

A short review on entanglement in quantum spin systems

JI Latorre, A Riera - Journal of physics a: mathematical and …, 2009 - iopscience.iop.org
We review some of the recent progress on the study of entropy of entanglement in many-
body quantum systems. Emphasis is placed on the scaling properties of entropy for one …

Entanglement across a transition to quantum chaos

C Mejía-Monasterio, G Benenti, GG Carlo… - Physical Review A—Atomic …, 2005 - APS
We study the relation between entanglement and quantum chaos in one-and two-
dimensional spin-1∕ 2 lattice models, which exhibit mixing of the noninteracting …

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 …

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 …

Universal aspects in the behavior of the entanglement spectrum in one dimension: Scaling transition at the factorization point and ordered entangled structures

SM Giampaolo, S Montangero, F Dell'Anno… - Physical Review B …, 2013 - APS
We investigate the scaling of the entanglement spectrum and of the Rényi block entropies
and determine its universal aspects in the ground state of critical and noncritical one …