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 …

Cold-Atom Elevator: From Edge-State Injection to the Preparation of Fractional Chern Insulators

B Wang, M Aidelsburger, J Dalibard, A Eckardt… - Physical review …, 2024 - APS
Optical box traps offer new possibilities for quantum-gas experiments. Building on their
exquisite spatial and temporal control, we propose to engineer system-reservoir …

Growing extended Laughlin states in a quantum gas microscope: A patchwork construction

FA Palm, J Kwan, B Bakkali-Hassani, M Greiner… - Physical Review …, 2024 - APS
The study of fractional Chern insulators and their exotic anyonic excitations poses a major
challenge in current experimental and theoretical research. Quantum simulators, in …

Measurable signatures of bosonic fractional Chern insulator states and their fractional excitations in a quantum-gas microscope

B Wang, X Dong, A Eckardt - SciPost Physics, 2022 - scipost.org
The recent progress in engineering topological band structures in optical-lattice systems
makes it promising to study fractional Chern insulator states in these systems. Here we …

Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles

C Repellin, J Leonard, N Goldman - Physical Review A, 2020 - APS
Realizing strongly correlated topological phases of ultracold gases is a central goal for
ongoing experiments. While fractional quantum Hall states could soon be implemented in …

Charge and statistics of lattice quasiholes from density measurements: A tree tensor network study

E Macaluso, T Comparin, RO Umucalılar, M Gerster… - Physical Review …, 2020 - APS
We numerically investigate the properties of the quasihole excitations above the bosonic
fractional Chern insulator state at filling ν= 1/2, in the specific case of the Harper-Hofstadter …

Local density of states and particle entanglement in topological quantum fluids

S Pu, AC Balram, Z Papić - Physical Review B, 2022 - APS
The understanding of particle entanglement is an important goal in the studies of correlated
quantum matter. The widely used method of scanning tunneling spectroscopy—which …

Edge mode spectroscopy of fractional Chern insulators

F Binanti, N Goldman, C Repellin - 2023 - hal.science
The exploration of atomic fractional quantum Hall (FQH) states is now within reach in
opticallattice experiments. While bulk signatures have been observed in a system realizing …

Detecting fractional Chern insulators in optical lattices through quantized displacement

J Motruk, I Na - Physical review letters, 2020 - APS
The realization of interacting topological states of matter such as fractional Chern insulators
(FCIs) in cold atom systems has recently come within experimental reach due to the …

Bosonic fractional quantum Hall conductance in shaken honeycomb optical lattices without flat bands

S Miao, Z Zhang, Y Zhao, Z Zhao, H Wang, J Hu - Physical Review B, 2022 - APS
We propose a scheme to realize bosonic fractional quantum Hall conductance in shaken
honeycomb optical lattices. This scheme does not require a very flat band, and the …