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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
This Submission thread is now published as
Submission summary
| Submission information |
| Preprint Link: |
scipost_201908_00007v4
(pdf)
|
| Date accepted: |
2019-10-15 |
| Date submitted: |
2019-10-09 02:00 |
| Submitted by: |
Lang, Guillaume |
| Submitted to: |
SciPost Physics |
| Ontological classification |
| Academic field: |
Physics |
| Specialties: |
- Condensed Matter Physics - Theory
- Quantum Physics
|
| Approach: |
Theoretical |
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.
