SciPost Submission Page
Simulating Floquet topological phases in static systems
by Selma Franca, Fabian Hassler, Ion Cosma Fulga
- Published as SciPost Phys. Core 4, 007 (2021)
|As Contributors:||Ion Cosma Fulga|
|Arxiv Link:||https://arxiv.org/abs/2001.08217v3 (pdf)|
|Date submitted:||2021-02-09 12:59|
|Submitted by:||Fulga, Ion Cosma|
|Submitted to:||SciPost Physics|
We show that scattering from the boundary of static, higher-order topological insulators (HOTIs) can be used to simulate the behavior of (time-periodic) Floquet topological insulators. We consider D-dimensional HOTIs with gapless corner states which are weakly probed by external waves in a scattering setup. We find that the unitary reflection matrix describing back-scattering from the boundary of the HOTI is topologically equivalent to a (D-1)-dimensional nontrivial Floquet operator. To characterize the topology of the reflection matrix, we introduce the concept of `nested' scattering matrices. Our results provide a route to engineer topological Floquet systems in the lab without the need for external driving. As benefit, the topological system does not to suffer from decoherence and heating.
Published as SciPost Phys. Core 4, 007 (2021)
Author comments upon resubmission
Thank you for handling our manuscript and for sending us the referee reports.
For ease of reading, we have prepared a pdf reply, which can be accessed at the following link:
Selma Franca, Fabian Hassler, and Ion Cosma Fulga
List of changes
See our reply pdf for a detailed list of changes.
Submission & Refereeing History
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- Comment by Dr Fulga on 2021-02-09
- Comment by Prof. Jiang on 2021-03-11
- Comment by Anonymous on 2021-03-23
Reports on this Submission
Anonymous Report 1 on 2021-2-24 (Invited Report)
- Cite as: Anonymous, Report on arXiv:2001.08217v3, delivered 2021-02-24, doi: 10.21468/SciPost.Report.2606
Following the comments given in the previous submission, the authors included a more detailed general description of their dimensional reduction procedure and compared it with another competing approach.
This is clearly an improvement from the previous manuscript hence I now vote to accept.
Regarding the discussion around the importance of simulating non-interacting physics, my opinion stayed as is.