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 …

Entropy-driven phase transitions of entanglement

P Facchi, G Florio, G Parisi, S Pascazio, K Yuasa - Physical Review A—Atomic …, 2013 - APS
We study the behavior of bipartite entanglement at fixed von Neumann entropy. We look at
the distribution of the entanglement spectrum, that is, the eigenvalues of the reduced density …

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 …

Phase transitions and metastability in the distribution of the bipartite entanglement of a large quantum system

A De Pasquale, P Facchi, G Parisi, S Pascazio… - Physical Review A …, 2010 - APS
We study the distribution of the Schmidt coefficients of the reduced density matrix of a
quantum system in a pure state. By applying general methods of statistical mechanics, we …

Equilibrium entanglement vanishes at finite temperature

BV Fine, F Mintert, A Buchleitner - Physical Review B—Condensed Matter and …, 2005 - APS
Equilibrium entanglement vanishes at finite temperature Page 1 Equilibrium entanglement
vanishes at finite temperature BV Fine,1,2 F. Mintert,1 and A. Buchleitner1 1Max Planck Institute …

Statistical distribution of quantum entanglement for a random bipartite state

C Nadal, SN Majumdar, M Vergassola - Journal of Statistical Physics, 2011 - Springer
We compute analytically the statistics of the Renyi and von Neumann entropies (standard
measures of entanglement), for a random pure state in a large bipartite quantum system …

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 …

Classical statistical mechanics approach to multipartite entanglement

P Facchi, G Florio, U Marzolino, G Parisi… - Journal of Physics A …, 2010 - iopscience.iop.org
We characterize the multipartite entanglement of a system of n qubits in terms of the
distribution function of the bipartite purity over balanced bipartitions. We search for …

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 …

Quantification and scaling of multipartite entanglement in continuous variable systems

G Adesso, A Serafini, F Illuminati - Physical review letters, 2004 - APS
We present a theoretical method to determine the multipartite entanglement between
different partitions of multimode, fully or partially symmetric Gaussian states of continuous …