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Conjectures about the structure of strong- and weak-coupling expansions of a few ground-state observables in the Lieb-Liniger and Yang-Gaudin models

by Guillaume Lang

Submission summary

As Contributors: Guillaume Lang
Preprint link: scipost_201908_00007v4
Date accepted: 2019-10-15
Date submitted: 2019-10-09
Submitted by: Lang, Guillaume
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Quantum Physics

Abstract

In this paper, we apply experimental number theory to two integrable quantum models in one dimension, the Lieb-Liniger Bose gas and the Yang-Gaudin Fermi gas with contact interactions. We identify patterns in weak- and strong-coupling series expansions of the ground-state energy, local correlation functions and pressure. Based on the most accurate data available in the literature, we make a few conjectures about their mathematical structure and extrapolate to higher orders.

Current status:
Publication decision taken: accept


Reports on this Submission

Anonymous Report 3 on 2019-10-12 Invited Report

Report

The author has clarified various points. I think the article can be recommended for publication

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

Anonymous Report 2 on 2019-10-10 Invited Report

Strengths

The author try to relate number theory with dynamical systems

Weaknesses

Conjectures are not proven. Only two dynamical systems aRE CONSIDERED

Report

Afte resubmission the paper became a little better.

  • validity: good
  • significance: low
  • originality: ok
  • clarity: good
  • formatting: good
  • grammar: excellent

Anonymous Report 1 on 2019-10-10 Invited Report

Report

The reply by the author and the changes made to the paper address satisfactorily the points raised in my previous report. I think the paper is now suitable for publication in scipost.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

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