Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …
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 …
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 …
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
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 …
phase in organic crystals whose structure is well described by the two-dimensional …
Exact excited states of nonintegrable models
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 …
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
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 …
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
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 …
SCIEAS 0036-8075 10.1126/science. abi8794] demonstrating the onset of a topological spin …
Tangent-space methods for uniform matrix product states
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 …
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 …
triangular lattice by means of density matrix renormalization group (DMRG) simulations. By …
Gauging tensor networks with belief propagation
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 …
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
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 …
ground state of the honeycomb-lattice spin model with bond-dependent interactions. We …