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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
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Submission summary
| Authors (as registered SciPost users): | Guillaume Lang |
| Submission information | |
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| Preprint Link: | scipost_201908_00007v4 (pdf) |
| Date accepted: | Oct. 15, 2019 |
| Date submitted: | Oct. 9, 2019, 2 a.m. |
| Submitted by: | Guillaume Lang |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| 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.
Published as SciPost Phys. 7, 055 (2019)