# Laughlin's topological charge pump in an atomic Hall cylinder

@inproceedings{Fabre2021LaughlinsTC, title={Laughlin's topological charge pump in an atomic Hall cylinder}, author={Aur{\'e}lie Fabre and Jean-Baptiste Bouhiron and Tanish Satoor and Raphael Lopes and S. Nascimbene}, year={2021} }

The quantum Hall effect occuring in two-dimensional electron gases was first explained by Laughlin, who envisioned a thought experiment that laid the groundwork for our understanding of topological quantum matter. His proposal is based on a quantum Hall cylinder periodically driven by an axial magnetic field, resulting in the quantized motion of electrons. We realize this milestone experiment with an ultracold gas of dysprosium atoms, the cyclic dimension being encoded in the electronic spin…

## 3 Citations

A measurable fractional spin for quantum Hall quasiparticles on the disk

- Physics
- 2021

Tommaso Comparin, ∗ Alvin Opler, Elia Macaluso, Alberto Biella, 3 Alexios P. Polychronakos, and Leonardo Mazza † Univ. Lyon, Ens de Lyon, CNRS, Laboratoire de Physique, F-69342 Lyon, France.…

Synthetic Hall ladder with tunable magnetic flux

- Physics
- 2022

We describe a synthetic three-leg Hall ladder system with a tunable magnetic flux for neutral Yb atoms in a one-dimensional optical lattice. The ladder legs are formed by three hyperfine ground spin…

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

- Physics
- 2021

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 consider a realistic…

## References

SHOWING 1-10 OF 38 REFERENCES

Band Gap Closing in a Synthetic Hall Tube of Neutral Fermions.

- Physics, MedicinePhysical review letters
- 2019

Momentum-resolved analysis of the quench dynamics reveals a critical point of band gap closing as one of the interleg coupling strengths is varied, which is consistent with a topological phase transition predicted for the Hall tube system.

Geometrical Pumping with a Bose-Einstein Condensate.

- Physics, MedicinePhysical review letters
- 2016

This work realized a quantum geometric "charge" pump for a Bose-Einstein condensate (BEC) in the lowest Bloch band of a novel bipartite magnetic lattice and observed an overall displacement and a temporal modulation of the atomic wave packet's position in each unit cell, i.e., the polarization.

Topological Thouless pumping of ultracold fermions

- Physics
- 2016

Charge transport in a cyclically time-modulated periodic potential, also known as a topological Thouless pump, has been realized in an ultracold gas of fermionic atoms. An electron gas in a…

Hofstadter’s butterfly and the fractal quantum Hall effect in moiré superlattices

- Physics, MedicineNature
- 2013

It is demonstrated that moiré superlattices arising in bilayer graphene coupled to hexagonal boron nitride provide a periodic modulation with ideal length scales of the order of ten nanometres, enabling unprecedented experimental access to the fractal spectrum.

Colloquium: Artificial gauge potentials for neutral atoms

- Physics
- 2011

When a neutral atom moves in a properly designed laser field, its center-of-mass motion may mimic the dynamics of a charged particle in a magnetic field, with the emergence of a Lorentz-like force.…

A Bose-Einstein Condensate on a Synthetic Hall Cylinder

- Physics
- 2018

Interplay between matter and fields in physical spaces with nontrivial geometries gives rise to many exotic quantum phenomena. However, their realizations are often impeded by experimental…

Visualizing edge states with an atomic Bose gas in the quantum Hall regime

- Physics, MedicineScience
- 2015

An effective magnetic field is engineered in a two-dimensional lattice with an elongated-strip geometry and imaged the localized states of atomic Bose-Einstein condensates in this strip; via excitation dynamics, both the skipping orbits of excited atoms traveling down the system’s edges, analogous to edge magnetoplasmons in two- dimensional electron systems, and a dynamical Hall effect for bulk excitations are observed.

Photonic Floquet topological insulators

- Physics, MedicineNature
- 2013

This work proposes and experimentally demonstrate a photonic topological insulator free of external fields and with scatter-free edge transport—a photonic lattice exhibiting topologically protected transport of visible light on the lattice edges.

A Thouless quantum pump with ultracold bosonic atoms in an optical superlattice

- Physics
- 2016

Thouless introduced the idea of a topological charge pump: the quantized motion of charge due to the slow cyclic variation of a periodic potential. This topologically protected transport has now been…

Observation of chiral edge states with neutral fermions in synthetic Hall ribbons

- Physics, MedicineScience
- 2015

The experimental realization of fermionic chiral edge states in a ribbon geometry with an ultracold gas of neutral fermions subjected to an artificial gauge field opens the door for edge state interferometry and the study of non-Abelian anyons in atomic systems.