Entanglement in many-body systems

L Amico, R Fazio, A Osterloh, V Vedral - Reviews of modern physics, 2008 - APS
Recent interest in aspects common to quantum information and condensed matter has
prompted a flurry of activity at the border of these disciplines that were far distant until a few …

Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond

M Lewenstein, A Sanpera, V Ahufinger… - Advances in …, 2007 - Taylor & Francis
We review recent developments in the physics of ultracold atomic and molecular gases in
optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard …

Entanglement entropy dynamics of Heisenberg chains

G De Chiara, S Montangero… - Journal of Statistical …, 2006 - iopscience.iop.org
By means of the time dependent density matrix renormalization group algorithm we study
the zero-temperature dynamics of the Von Neumann entropy of a block of spins in a …

Ground-state fidelity and bipartite entanglement in the Bose-Hubbard model

P Buonsante, A Vezzani - Physical review letters, 2007 - APS
We analyze the quantum phase transition in the Bose-Hubbard model borrowing two tools
from quantum-information theory, ie, the ground-state fidelity and entanglement measures …

Operationally accessible entanglement of one-dimensional spinless fermions

H Barghathi, E Casiano-Diaz, A Del Maestro - Physical Review A, 2019 - APS
For indistinguishable itinerant particles subject to a superselection rule fixing their total
number, a portion of the entanglement entropy under a spatial bipartition of the ground state …

Quantum mutual information as a probe for many-body localization

G De Tomasi, S Bera, JH Bardarson, F Pollmann - Physical Review Letters, 2017 - APS
We demonstrate that the quantum mutual information (QMI) is a useful probe to study many-
body localization (MBL). First, we focus on the detection of a metal-insulator transition for two …

Entanglement in fermionic systems

MC Banuls, JI Cirac, MM Wolf - Physical Review A—Atomic, Molecular, and …, 2007 - APS
The anticommuting properties of fermionic operators, together with the presence of parity
conservation, affect the concept of entanglement in a composite fermionic system. Hence …

Quantum phase transitions and quantum fidelity in free fermion graphs

M Cozzini, P Giorda, P Zanardi - Physical Review B—Condensed Matter and …, 2007 - APS
In this paper we analyze the ground-state phase diagram of a class of fermionic
Hamiltonians by looking at the fidelity of ground states corresponding to slightly different …

Entanglement scaling in the one-dimensional hubbard model at criticality

D Larsson, H Johannesson - Physical review letters, 2005 - APS
We derive exact expressions for the local entanglement entropy E in the ground state of the
one-dimensional Hubbard model at a quantum phase transition driven by a change in …

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 …