Quantum many-body scars and Hilbert space fragmentation: a review of exact results
S Moudgalya, BA Bernevig… - Reports on Progress in …, 2022 - iopscience.iop.org
The discovery of quantum many-body scars (QMBS) both in Rydberg atom simulators and in
the Affleck–Kennedy–Lieb–Tasaki spin-1 chain model, have shown that a weak violation of …
the Affleck–Kennedy–Lieb–Tasaki spin-1 chain model, have shown that a weak violation of …
Recent developments in fractional Chern insulators
Z Liu, EJ Bergholtz - arXiv preprint arXiv:2208.08449, 2022 - arxiv.org
Fractional Chern insulators (FCIs) are lattice generalizations of the conventional fractional
quantum Hall effect (FQHE) in two-dimensional (2D) electron gases. They typically arise in a …
quantum Hall effect (FQHE) in two-dimensional (2D) electron gases. They typically arise in a …
The ITensor software library for tensor network calculations
ITensor is a system for programming tensor network calculations with an interface modeled
on tensor diagram notation, which allows users to focus on the connectivity of a tensor …
on tensor diagram notation, which allows users to focus on the connectivity of a tensor …
Hilbert space fragmentation and commutant algebras
S Moudgalya, OI Motrunich - Physical Review X, 2022 - APS
We study the phenomenon of Hilbert space fragmentation in isolated Hamiltonian and
Floquet quantum systems using the language of commutant algebras, the algebra of all …
Floquet quantum systems using the language of commutant algebras, the algebra of all …
Stripe order in the underdoped region of the two-dimensional Hubbard model
Competing inhomogeneous orders are a central feature of correlated electron materials,
including the high-temperature superconductors. The two-dimensional Hubbard model …
including the high-temperature superconductors. The two-dimensional Hubbard model …
Efficient numerical simulations with tensor networks: Tensor Network Python (TeNPy)
J Hauschild, F Pollmann - SciPost Physics Lecture Notes, 2018 - scipost.org
Tensor product state (TPS) based methods are powerful tools to efficiently simulate quantum
many-body systems in and out of equilibrium. In particular, the one-dimensional matrix …
many-body systems in and out of equilibrium. In particular, the one-dimensional matrix …
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 …
Ferromagnetism in narrow bands of moiré superlattices
Many graphene moiré superlattices host narrow bands with nonzero valley Chern numbers.
We provide analytical and numerical evidence for a robust spin and/or valley polarized …
We provide analytical and numerical evidence for a robust spin and/or valley polarized …
Efficient simulation of moiré materials using the density matrix renormalization group
We present an infinite density-matrix renormalization group (DMRG) study of an interacting
continuum model of twisted bilayer graphene (tBLG) near the magic angle. Because of the …
continuum model of twisted bilayer graphene (tBLG) near the magic angle. Because of the …