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Ground state solutions of inhomogeneous Bethe equations

by S. Belliard, A. Faribault

Submission summary

As Contributors: Samuel Belliard
Arxiv Link: http://arxiv.org/abs/1803.09666v3
Date accepted: 2018-05-23
Date submitted: 2018-05-07
Submitted by: Belliard, Samuel
Submitted to: SciPost Physics
Discipline: Physics
Subject area: Mathematical Physics
Approaches: Theoretical, Computational

Abstract

The distribution of Bethe roots, solution of the inhomogeneous Bethe equations, which characterize the ground state of the periodic XXX Heisenberg spin-$\frac{1}{2}$ chain is investigated. Numerical calculations shows that, for this state, the new inhomogeneous term does not contribute to the Baxter T-Q equation in the thermodynamic limit. Different families of Bethe roots are identified and their large N behaviour are conjectured and validated.

Ontology / Topics

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Baxter T-Q equation Bethe Ansatz Heisenberg spin chains

Published as SciPost Phys. 4, 030 (2018)



Author comments upon resubmission

We thanks the referee for is valuable comments.

List of changes

Following the Report 1, We add news comments in the conclusion and did the Requested changes.


Reports on this Submission

Report 2 by Junpeng Cao on 2018-5-17 Invited Report

  • Cite as: Junpeng Cao, Report on arXiv:1803.09666v3, delivered 2018-05-17, doi: 10.21468/SciPost.Report.453

Report

All my questions are responded and the manuscript is modified. I recommend this paper to be published.

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Anonymous Report 1 on 2018-5-16 Invited Report

  • Cite as: Anonymous, Report on arXiv:1803.09666v3, delivered 2018-05-16, doi: 10.21468/SciPost.Report.450

Report

The authors have answered to the points I raised, the paper can be published

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  • significance: -
  • originality: -
  • clarity: -
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