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Measurable signatures of bosonic fractional Chern insulator states and their fractional excitations in a quantum-gas microscope
by Botao Wang, Xiao-Yu Dong, André Eckardt
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Submission summary
| Authors (as registered SciPost users): | Xiao-Yu Dong · André Eckardt · Botao Wang |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2111.01110v2 (pdf) |
| Date submitted: | 2021-12-23 15:16 |
| Submitted by: | Wang, Botao |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
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 finite system of a few repulsively interacting bosons on a square lattice with magnetic flux and sharp edges, as it can be realized in quantum-gas microscopes. We investigate under which conditions a fractional Chern insulator state corresponding to the Laughlin-like state at filling $\nu=1/2$ can be stabilized and its fractional excitations probed. Using numerical simulations, we find an incompressible bulk density at the expected filling for systems, whose linear extent is as small as 6-8 sites. This is a promising result, since such small systems are favorable with respect to the required adiabatic state preparation. Moreover, we also see very clear signatures of excitations with fractional charge in response both to static pinning potentials and dynamical flux insertion. Since the compressible edges, which are found to feature chiral currents, can serve as a reservoir, these observations are robust against changes in the total particle number. Our results suggest that signatures of both a fractional Chern insulator state and its fractional excitations can be found under realistic experimental conditions.
Author comments upon resubmission
We would like to resubmit our revised paper to SciPost Physics.
Our manuscript has been reviewed by three referees who all recommended the publication after minor modifications. We thank the referees for close reading and also for their constructive comments and suggestions. All the points have been addressed in our replies to the referees, and the manuscript has been modified accordingly. We hope our revised paper would be suitable for publication.
Sincerely,
Botao Wang, Xiaoyu Dong, and André Eckardt
Current status:
Reports on this Submission
Report #1 by Anonymous (Referee 4) on 2021-12-30 (Invited Report)
- Cite as: Anonymous, Report on arXiv:2111.01110v2, delivered 2021-12-30, doi: 10.21468/SciPost.Report.4110
Report
I have reviewed the revised version and I am satisfied by the Authors’ response to my questions and comments. However, there is still one typo in Appendix A. The sentence “The densities of the middle row $n = 4$ and the vertical currents on the middle links connected by $n = 4$ and $n = 5$ are plotted in Figs. 8(c) and (d)…” should instead refer to Figs. 8(e) and (f). Other than that, the manuscript is now ready for publication in SciPost Physics.
Author: Botao Wang on 2022-01-07 [id 2077]
(in reply to Report 1 on 2021-12-30)Thank you for close reading and the useful comment. The typo has now been corrected in the resubmitted manuscript.