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
A dark state of Chern bands: Designing flat bands with higher Chern number
We introduce a scheme by which flat bands with higher Chern number $| C|>1$ can be designed in ultracold gases through a coherent manipulation of Bloch bands. Inspired by quantum-optics methods, ourExpand
Laughlin-Type Topological Order on a Fractal Lattice with a Local Hamiltonian
Sourav Manna, 2 Callum W. Duncan, 3 Carrie A. Weidner, Jacob F. Sherson, and Anne E. B. Nielsen 4 Max-Planck-Institut für Physik komplexer Systeme, D-01187 Dresden, Germany Department of CondensedExpand
Uncover band topology via quantized drift in two-dimensional Bloch oscillations
Bo Zhu, Shi Hu, Honghua Zhong, ∗ and Yongguan Ke † Institute of Mathematics and Physics, Central South University of Forestry and Technology, Changsha 410004, China School of OptoelectronicExpand
Distilling the topology of the Hofstadter model through a diffraction experiment
Francesco Di Colandrea, ∗ Alessio D’Errico, ∗ Maria Maffei, Hannah M. Price, Maciej Lewenstein, 5 Lorenzo Marrucci, 6 Filippo Cardano, † Alexandre Dauphin, ‡ and Pietro Massignan 7 Dipartimento diExpand
Many-Body Chern Number from Statistical Correlations of Randomized Measurements.
TLDR
This work uses the statistical correlations of randomized measurements to infer the many-body Chern number of a wave function, and its results apply to disklike geometries that are more amenable to current quantum simulator architectures. Expand
Bosonic Pfaffian state in the Hofstadter-Bose-Hubbard model
Topological states of matter, such as fractional quantum Hall states, are an active field of research due to their exotic excitations. In particular, ultracold atoms in optical lattices provide aExpand

References

SHOWING 1-10 OF 87 REFERENCES
Realization of fractional Chern insulators in the thin-torus limit with ultracold bosons
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 realisticExpand
Charge Excitation Dynamics in Bosonic Fractional Chern Insulators.
TLDR
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.
TLDR
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
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 anExpand
Interferometric measurements of many-body topological invariants using mobile impurities
TLDR
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
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 quasiparticlesExpand
Extracting the Chern number from the dynamics of a Fermi gas: implementing a quantum Hall bar for cold atoms.
TLDR
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
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
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 theExpand
Measurement of Chern numbers through center-of-mass responses
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 suchExpand
...
1
2
3
4
5
...