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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
- Published as SciPost Phys. 7, 055 (2019)
|As Contributors:||Guillaume Lang|
|Submitted by:||Lang, Guillaume|
|Submitted to:||SciPost Physics|
|Subject area:||Quantum Physics|
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.
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Published as SciPost Phys. 7, 055 (2019)
Submission & Refereeing History
- Report 3 submitted on 2019-10-12 18:56 by Anonymous
- Report 2 submitted on 2019-10-10 23:09 by Anonymous
- Report 1 submitted on 2019-10-10 10:27 by Anonymous
Reports on this Submission
Anonymous Report 3 on 2019-10-12 Invited Report
The author has clarified various points. I think the article can be recommended for publication
Anonymous Report 2 on 2019-10-10 Invited Report
The author try to relate number theory with dynamical systems
Conjectures are not proven. Only two dynamical systems aRE CONSIDERED
Afte resubmission the paper became a little better.
Anonymous Report 1 on 2019-10-10 Invited 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.