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 …

Entanglement of exact excited states of Affleck-Kennedy-Lieb-Tasaki models: Exact results, many-body scars, and violation of the strong eigenstate thermalization …

S Moudgalya, N Regnault, BA Bernevig - Physical Review B, 2018 - APS
We obtain multiple exact results on the entanglement of the exact excited states of
nonintegrable models we introduced in Phys. Rev. B 98, 235155 (2018) 10.1103/PhysRevB …

Chiral spin liquid phase of the triangular lattice Hubbard model: a density matrix renormalization group study

A Szasz, J Motruk, MP Zaletel, JE Moore - Physical Review X, 2020 - APS
Motivated by experimental studies that have found signatures of a quantum spin liquid
phase in organic crystals whose structure is well described by the two-dimensional …

Exact excited states of nonintegrable models

S Moudgalya, S Rachel, BA Bernevig, N Regnault - Physical Review B, 2018 - APS
We discuss a method of numerically identifying exact energy eigenstates for a finite system,
whose form can then be obtained analytically. We demonstrate our method by identifying …

Signatures of Dirac cones in a DMRG study of the kagome Heisenberg model

YC He, MP Zaletel, M Oshikawa, F Pollmann - Physical Review X, 2017 - APS
The antiferromagnetic spin-1/2 Heisenberg model on a kagome lattice is one of the most
paradigmatic models in the context of spin liquids, yet the precise nature of its ground state …

Dynamical preparation of quantum spin liquids in Rydberg atom arrays

G Giudici, MD Lukin, H Pichler - Physical Review Letters, 2022 - APS
We theoretically analyze recent experiments [Semeghini et al., Science 374, 1242 (2021)
SCIEAS 0036-8075 10.1126/science. abi8794] demonstrating the onset of a topological spin …

Tangent-space methods for uniform matrix product states

L Vanderstraeten, J Haegeman… - SciPost Physics Lecture …, 2019 - scipost.org
In these lecture notes we give a technical overview of tangent-space methods for matrix
product states in the thermodynamic limit. We introduce the manifold of uniform matrix …

Dirac Spin Liquid on the Spin- Triangular Heisenberg Antiferromagnet

S Hu, W Zhu, S Eggert, YC He - Physical review letters, 2019 - APS
We study the spin liquid candidate of the spin-1/2 J 1-J 2 Heisenberg antiferromagnet on the
triangular lattice by means of density matrix renormalization group (DMRG) simulations. By …

Gauging tensor networks with belief propagation

J Tindall, M Fishman - SciPost Physics, 2023 - scipost.org
Effectively compressing and optimizing tensor networks requires reliable methods for fixing
the latent degrees of freedom of the tensors, known as the gauge. Here we introduce a new …

Quantum spin liquid signatures in Kitaev-like frustrated magnets

M Gohlke, G Wachtel, Y Yamaji, F Pollmann, YB Kim - Physical Review B, 2018 - APS
Motivated by recent experiments on α-RuCl 3, we investigate a possible quantum spin liquid
ground state of the honeycomb-lattice spin model with bond-dependent interactions. We …