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

@article{Repellin2020FractionalCI, title={Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles}, author={C'ecile Repellin and Julian L{\'e}onard and Nathan Goldman}, journal={Physical Review A}, year={2020}, volume={102}, pages={063316} }

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 small atomic ensembles, detecting their signatures in few-particle settings remains a fundamental challenge. In this work, we numerically analyze the center-of-mass Hall drift of a small ensemble of hardcore bosons, initially prepared in the ground state of the Harper-Hofstadter-Hubbard model in a box potential. By… Expand

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#### References

SHOWING 1-10 OF 87 REFERENCES

Realization of fractional Chern insulators in the thin-torus limit with ultracold bosons

- Physics
- 2014

Topological states of interacting many-body systems are at the focus of current research due to the exotic properties of their elementary excitations. In this paper we suggest a realistic… Expand

Charge Excitation Dynamics in Bosonic Fractional Chern Insulators.

- Physics, Medicine
- Physical review letters
- 2018

This model contrasts the behavior of single particle models with counterpropagating edge states, such as the noninteracting Harper-Hofstadter model, where the chirality is manifest only for weak perturbations. Expand

Detecting Fractional Chern Insulators in Optical Lattices through Quantized Displacement.

- Physics, Medicine
- Physical review letters
- 2020

It is shown that for a ν=1/2 FCI state realized in the lowest band of a Harper-Hofstadter model of interacting bosons confined by a harmonic trapping potential, the fractionally quantized Hall conductivity σ_{xy} can be accurately determined by the displacement of the atomic cloud under the action of a constant force which provides a suitable experimentally measurable signal for detecting the topological nature of the state. Expand

Edge Excitations in Fractional Chern Insulators

- Physics
- 2013

Recent theoretical works have demonstrated the realization of fractional quantum anomalous Hall states (also called fractional Chern insulators) in topological flat band lattice models without an… Expand

Interferometric measurements of many-body topological invariants using mobile impurities

- Physics, Medicine
- Nature communications
- 2016

It is shown how fractional charges can be probed in the bulk of fractional quantum Hall systems, and it is demonstrated that combining Ramsey interference with Bloch oscillations can be used to measure Chern numbers characterizing the dispersion of individual quasiparticles, which gives a direct probe of their fractionalCharges. Expand

Creating, probing, and manipulating fractionally charged excitations of fractional Chern insulators in optical lattices

- Physics
- 2018

We propose a set of schemes to create and probe fractionally charged excitations of a fractional Chern insulator state in an optical lattice. This includes the creation of localized quasiparticles… Expand

Extracting the Chern number from the dynamics of a Fermi gas: implementing a quantum Hall bar for cold atoms.

- Physics, Medicine
- Physical review letters
- 2013

It is shown that the time evolution of the center of mass, after releasing the cloud, provides a direct and clear signature of the topologically invariant Chern number. Expand

Phase transitions and adiabatic preparation of a fractional Chern insulator in a boson cold-atom model

- Physics
- 2017

We investigate the fate of hardcore bosons in a Harper-Hofstadter model which was experimentally realized by Aidelsburger et al. [Nature Physics 11 , 162 (2015)] at half filling of the lowest band.… Expand

Fractional quantum Hall effect in optical lattices

- Physics
- 2006

We analyze a recently proposed method to create fractional quantum Hall (FQH) states of atoms confined in optical lattices [A. Soerensen et al., Phys. Rev. Lett. 94, 086803 (2005)]. Extending the… Expand

Measurement of Chern numbers through center-of-mass responses

- Physics
- 2016

Probing the center-of-mass of an ultracold atomic cloud can be used to measure Chern numbers, the topological invariants underlying the quantum Hall effects. In this work, we show how such… Expand