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

Lang, Guillaume

doi:10.21468/SciPostPhys.7.4.055

SciPost Physics

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

Guillaume Lang

SciPost Phys. 7, 055 (2019) · published 23 October 2019

doi: 10.21468/SciPostPhys.7.4.055
pdf
Submissions/Reports

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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.7.4.055
TI  - Conjectures about the structure of strong- and weak-coupling expansions of a few ground-state observables in the Lieb-Liniger and Yang-Gaudin models
PY  - 2019/10/23
UR  - https://scipost.org/SciPostPhys.7.4.055
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 7
IS  - 4
SP  - 055
A1  - Lang, Guillaume
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.7.4.055,
	title={{Conjectures about the structure of strong- and weak-coupling expansions of a few ground-state observables in the Lieb-Liniger and Yang-Gaudin models}},
	author={Guillaume Lang},
	journal={SciPost Phys.},
	volume={7},
	pages={055},
	year={2019},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.7.4.055},
	url={https://scipost.org/10.21468/SciPostPhys.7.4.055},
}

Cited by 4

Ontology / Topics

See full Ontology or Topics database.

Fermi gases Lieb-Liniger model Yang-Gaudin models

Author / Affiliations: mappings to Contributors and Organizations

See all Organizations.

¹ ² Guillaume Lang