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Computation of entanglement entropy in inhomogeneous free fermions chains by algebraic Bethe ansatz

by Pierre-Antoine Bernard, Gauvain Carcone, Nicolas Crampé and Luc vinet

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Submission summary

Authors (as registered SciPost users): Pierre-Antoine Bernard · Luc Vinet
Submission information
Preprint Link: scipost_202212_00041v1  (pdf)
Date accepted: 2023-08-11
Date submitted: 2022-12-17 18:55
Submitted by: Vinet, Luc
Submitted to: SciPost Physics Proceedings
Proceedings issue: 34th International Colloquium on Group Theoretical Methods in Physics (GROUP2022)
Ontological classification
Academic field: Physics
  • Mathematical Physics
Approach: Theoretical


The computation of the entanglement entropy for inhomogeneous free fermions chains based on $q$-Racah polynomials is considered. The eigenvalues of the truncated correlation matrix are obtained from the diagonalization of the associated Heun operator via the algebraic Bethe ansatz. In the special case of chains based on dual $q$-Hahn polynomials, the eigenvectors and eigenvalues are expressed in terms of symmetric polynomials evaluated on the Bethe roots.

Published as SciPost Phys. Proc. 14, 018 (2023)

Reports on this Submission

Anonymous Report 1 on 2023-1-31 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:scipost_202212_00041v1, delivered 2023-01-31, doi: 10.21468/SciPost.Report.6640


- Delightful reading.

- Innovative approach in established subject.


- Little explores the physics of the model.


The authors compute the entaglement entropy of free fermionic models generated by q-Racah polynomials. The free fermionic models have inhomogeneous couplings and for that reason analytical results are difficult to obtain. To diagonalize the associated correlation matrix, they follow an innovative route using the Bethe ansatz technique. I think this method is promising and will bring new reults both in Physics and Mathematics. Therefore, I recomend the article for publication.

  • validity: good
  • significance: good
  • originality: high
  • clarity: top
  • formatting: excellent
  • grammar: perfect

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