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A higher-order topological twist on cold-atom SO($5$) Dirac fields

by Alejandro Bermudez, Daniel González-Cuadra, Simon Hands

Submission summary

Authors (as registered SciPost users): Alejandro Bermudez
Submission information
Preprint Link: scipost_202310_00005v3  (pdf)
Date accepted: 2024-05-22
Date submitted: 2024-05-10 14:27
Submitted by: Bermudez, Alejandro
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Atomic, Molecular and Optical Physics - Theory
  • Quantum Physics
Approach: Theoretical


ed as a flexible quantum simulator of Dirac quantum field theories (QFTs) that combine Gross-Neveu and Thirring interactions with a higher-order topological twist. We show that the lattice model corresponds to a regularization of this QFT with an anisotropic twisted Wilson mass. This allows us to access higher-order topological states protected by a {discrete SO($5$) group}, a remnant of the {continuous} rotational symmetry of the 4-Fermi interactions that is not explicitly broken by the lattice discretization. Using large-$N$ methods, we show that the 4-Fermi interactions lead to a rich phase diagram with various competing fermion condensates. Our work opens a route for the implementation of correlated higher-order topological states with tunable interactions that has interesting connections to non-trivial relativistic QFTs of Dirac fermions in $D=2+1$ dimensions.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block

Author comments upon resubmission

% Resubmission of “A higher-order topological twist on cold-atom SO($5$) Dirac fields”

Dear Editors of SciPost,

We would like to thank you for giving us the opportunity to address the comments raised by the second Referee in the second round of referral. We have addressed them, performing the suggested changes. Given also that the the first Referee already recommended our first revised work to be published, we believe that our amended manuscript is now ready to be published in SciPost.

Please find below a list of changes, together with our detailed answer to the Referees.

List of changes

% List of changes

- We have corrected several typos spotted by the 1st Referee (red in the marked pdf).

- Following the suggestion of the Referee, we have corrected typos and avoided inconsistencies in the notation regarding tunneling strengths an real time (red in the marked pdf)

- Following the suggestion of the Referee, we have extended the ‘experimental detection subsection IV.C ’.

Current status:
Accepted in target Journal

Editorial decision: For Journal SciPost Physics: Publish
(status: Editorial decision fixed and (if required) accepted by authors)

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