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 …
Fractional quantum Hall states with variational projected entangled-pair states: A study of the bosonic Harper-Hofstadter model
EL Weerda, M Rizzi - Physical Review B, 2024 - APS
An important class of model Hamiltonians for investigation of topological phases of matter
consists of mobile, interacting particles on a lattice subject to a semiclassical gauge field, as …
consists of mobile, interacting particles on a lattice subject to a semiclassical gauge field, as …
Snapshot-based detection of Laughlin states: Coupled chains and central charge
Experimental realizations of topologically ordered states of matter, such as fractional
quantum Hall states, with cold atoms are now within reach. In particular, optical lattices …
quantum Hall states, with cold atoms are now within reach. In particular, optical lattices …
Detecting hidden order in fractional Chern insulators
Topological phase transitions go beyond Ginzburg and Landau's paradigm of spontaneous
symmetry breaking and occur without an associated local order parameter. Instead, such …
symmetry breaking and occur without an associated local order parameter. Instead, such …
Quantum Nonlinear Optics on the Edge of a Few-Particle Fractional Quantum Hall Fluid in a Small Lattice
We study the quantum dynamics in response to time-dependent external potentials of the
edge modes of a small fractional quantum Hall fluid composed of few particles on a lattice in …
edge modes of a small fractional quantum Hall fluid composed of few particles on a lattice in …
Strong to weak topological interacting phase transition of bosons on a lattice
A Ghosh, E Grosfeld - Physical Review B, 2023 - APS
We study hard-core bosons on the honeycomb lattice subjected to anisotropic nearest-
neighbor hopping along with anisotropic nearest-neighbor repulsion, using a quantum …
neighbor hopping along with anisotropic nearest-neighbor repulsion, using a quantum …
Neural Network Quantum States for the Interacting Hofstadter Model with Higher Local Occupations and Long-Range Interactions
Due to their immense representative power, neural network quantum states (NQS) have
gained significant interest in current research. In recent advances in the field of NQS, it has …
gained significant interest in current research. In recent advances in the field of NQS, it has …
Absence of gapless Majorana edge modes in few-leg bosonic flux ladders
The search for Majorana excitations has seen tremendous efforts in recent years, ultimately
aiming for their individual controllability in future topological quantum computers. A …
aiming for their individual controllability in future topological quantum computers. A …
Optimal control for preparing fractional quantum Hall states in optical lattices
LN Wu, X Li, N Goldman, B Wang - arXiv preprint arXiv:2501.10720, 2025 - arxiv.org
Preparing fractional quantum Hall (FQH) states represents a key challenge for quantum
simulators. While small Laughlin-type states have been realized by manipulating two atoms …
simulators. While small Laughlin-type states have been realized by manipulating two atoms …
Fractional chern insulators in Hofstadter-Hubbard models
FA Palm - 2023 - edoc.ub.uni-muenchen.de
Seit der Entdeckung des integralen und des fraktionalen Quanten-Hall-Effekts in den
1980ern hat das Zusammenspiel topologischer Eigenschaften und starker …
1980ern hat das Zusammenspiel topologischer Eigenschaften und starker …