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.
Cited by 4
De Palo et al., Variational Bethe ansatz approach for dipolar one-dimensional bosons
Phys. Rev. B 101, 045102 (2020) [Crossref]
Yukalov, Order Indices and Entanglement Production in Quantum Systems
Entropy 22, 565 (2020) [Crossref]
Granet et al., Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger model
SciPost Phys. 11, 068 (2021) [Crossref]
Bertini et al., Bogoliubov-Born-Green-Kirkwood-Yvon Hierarchy and Generalized Hydrodynamics
Phys. Rev. Lett. 128, 190401 (2022) [Crossref]
Ontology / TopicsSee full Ontology or Topics database.
Author / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 2 Guillaume Lang