Linking entanglement and quantum phase transitions via density-functional theory

LA Wu, MS Sarandy, DA Lidar, LJ Sham - Physical Review A—Atomic …, 2006 - APS
Density-functional theory (DFT) is shown to provide a conceptual and computational
framework for entanglement in interacting many-body quantum systems. DFT can, in …

Quantum phase transitions and bipartite entanglement

LA Wu, MS Sarandy, DA Lidar - Physical review letters, 2004 - APS
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 …

Novel quantum phase transition from bounded to extensive entanglement

Z Zhang, A Ahmadain, I Klich - Proceedings of the National …, 2017 - National Acad Sciences
The nature of entanglement in many-body systems is a focus of intense research with the
observation that entanglement holds interesting information about quantum correlations in …

Energy as an entanglement witness for quantum many-body systems

MR Dowling, AC Doherty, SD Bartlett - Physical Review A—Atomic, Molecular …, 2004 - APS
We investigate quantum many-body systems where all low-energy states are entangled. As
a tool for quantifying such systems, we introduce the concept of the entanglement gap …

Entanglement in many-body quantum systems

JI Cirac - Man.-Body Phys. Ultracold Gases: Lect. Notes Les …, 2012 - books.google.com
Entanglement in many-body quantum systems Page 190 4 Entanglement in many-body
quantum systems J. Ignacio Cirac Max-Planck-Institut für Quantenoptik, Hans-Kopferman-Strasse …

Participation spectroscopy and entanglement Hamiltonian of quantum spin models

DJ Luitz, N Laflorencie, F Alet - Journal of Statistical Mechanics …, 2014 - iopscience.iop.org
Shannon–Rényi entropies and associated participation spectra quantify how much a many-
body wave-function is localized in a given configuration basis. Using these tools, we present …

[HTML][HTML] DFT-inspired methods for quantum thermodynamics

M Herrera, RM Serra, I D'Amico - Scientific reports, 2017 - nature.com
In the framework of quantum thermodynamics, we propose a method to quantitatively
describe thermodynamic quantities for out-of-equilibrium interacting many-body systems …

Exploring quantum phase transitions with a sublattice entanglement scenario

Y Chen, ZD Wang, FC Zhang - Physical Review B—Condensed Matter and …, 2006 - APS
We introduce a measure called reduced entropy of sublattice to quantify entanglement in
spin, electron, and boson systems. By analyzing this quantity, we reveal an intriguing …

Frustration, interaction strength, and ground-state entanglement in complex quantum systems

CM Dawson, MA Nielsen - Physical Review A—Atomic, Molecular, and Optical …, 2004 - APS
Entanglement in the ground state of a many-body quantum system may arise when the local
terms in the system Hamiltonian fail to commute with the interaction terms in the …

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 …