Quantum entanglement in condensed matter systems

N Laflorencie - Physics Reports, 2016 - Elsevier
This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

Colloquium: Area laws for the entanglement entropy

J Eisert, M Cramer, MB Plenio - Reviews of modern physics, 2010 - APS
Physical interactions in quantum many-body systems are typically local: Individual
constituents interact mainly with their few nearest neighbors. This locality of interactions is …

Area laws for the entanglement entropy-a review

J Eisert, M Cramer, MB Plenio - arXiv preprint arXiv:0808.3773, 2008 - arxiv.org
Physical interactions in quantum many-body systems are typically local: Individual
constituents interact mainly with their few nearest neighbors. This locality of interactions is …

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 entropy in fermionic Laughlin states

M Haque, O Zozulya, K Schoutens - Physical review letters, 2007 - APS
We present analytic and numerical calculations on the bipartite entanglement entropy in
fractional quantum Hall states of the fermionic Laughlin sequence. The partitioning of the …

Exact matrix product states for quantum Hall wave functions

MP Zaletel, RSK Mong - Physical Review B—Condensed Matter and Materials …, 2012 - APS
We show that the model wave functions used to describe the fractional quantum Hall effect
have exact representations as matrix product states (MPS). These MPS can be implemented …

Bipartite entanglement entropy in fractional quantum Hall states

OS Zozulya, M Haque, K Schoutens, EH Rezayi - Physical Review B …, 2007 - APS
We present a detailed analysis of bipartite entanglement entropies in fractional quantum
Hall (FQH) states, considering both Abelian (Laughlin) and non-Abelian (Moore-Read) …

Density matrix renormalization group study of incompressible fractional quantum hall states

AE Feiguin, E Rezayi, C Nayak, S Das Sarma - Physical review letters, 2008 - APS
We develop the density-matrix renormalization group (DMRG) technique for numerically
studying incompressible fractional quantum Hall (FQH) states on the sphere. We calculate …

Entanglement entropy of integer quantum Hall states

ID Rodríguez, G Sierra - Physical Review B—Condensed Matter and Materials …, 2009 - APS
We compute the entanglement entropy, in the real space, of the ground state of the integer
Quantum Hall states for three different domains embedded in the cylinder, the disk and the …

Evaluation of ranks of real space and particle entanglement spectra for large systems

ID Rodríguez, SH Simon, JK Slingerland - Physical review letters, 2012 - APS
We devise a way to calculate the dimensions of symmetry sectors appearing in the particle
entanglement spectrum (PES) and real space entanglement spectrum (RSES) of …