Matrix product states and projected entangled pair states: Concepts, symmetries, theorems

JI Cirac, D Perez-Garcia, N Schuch, F Verstraete - Reviews of Modern Physics, 2021 - APS
The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …

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 …

Demonstrating the wormhole mechanism of the entanglement spectrum via a perturbed boundary

Z Liu, RZ Huang, Z Yan, DX Yao - Physical Review B, 2024 - APS
The Li-Haldane conjecture is one of the most famous conjectures in physics and opens a
new research area in the quantum entanglement and topological phase. Although a lot of …

Demonstrating the Affleck-Kennedy-Lieb-Tasaki spectral gap on 2D degree-3 lattices

N Pomata, TC Wei - Physical review letters, 2020 - APS
We report results on solving a long outstanding problem—whether the two-dimensional spin-
3/2 antiferromagnetic valence-bond model of Affleck, Kennedy, Lieb, and Tasaki (AKLT) …

Renyi entropy of the interacting Fermi liquid

J McMinis, NM Tubman - Physical Review B—Condensed Matter and …, 2013 - APS
Entanglement properties, including the Renyi α entropies and scaling laws, are becoming
increasingly important in condensed-matter physics because they can be used to determine …

Entanglement spectra between coupled Tomonaga-Luttinger liquids: Applications to ladder systems and topological phases

R Lundgren, Y Fuji, S Furukawa, M Oshikawa - Physical Review B, 2013 - APS
We study the entanglement spectrum (ES) and entropy between two coupled Tomonaga-
Luttinger liquids (TLLs) on parallel periodic chains. This problem gives access to the …

Momentum-space entanglement spectrum of bosons and fermions with interactions

R Lundgren, J Blair, M Greiter, A Läuchli, GA Fiete… - Physical review …, 2014 - APS
We study the momentum space entanglement spectra of bosonic and fermionic formulations
of the spin-1/2 XXZ chain with analytical methods and exact diagonalization. We investigate …

Entanglement spectroscopy of SU (2)-broken phases in two dimensions

F Kolley, S Depenbrock, IP McCulloch… - Physical Review B …, 2013 - APS
In magnetically ordered systems, the breaking of SU (2) symmetry in the thermodynamic limit
is associated with the appearance of a special type of low-lying excitations in finite-size …

Edge-entanglement spectrum correspondence in a nonchiral topological phase and Kramers-Wannier duality

WW Ho, L Cincio, H Moradi, D Gaiotto, G Vidal - Physical Review B, 2015 - APS
In a system with chiral topological order, there is a remarkable correspondence between the
edge and entanglement spectra: the low-energy spectrum of the system in the presence of a …

Particle entanglement spectra for quantum Hall states on lattices

A Sterdyniak, N Regnault, G Möller - Physical Review B—Condensed Matter …, 2012 - APS
We use particle entanglement spectra to characterize bosonic quantum Hall states on
lattices, motivated by recent studies of bosonic atoms on optical lattices. Unlike for the …