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 1
S. De Palo et al., Variational Bethe ansatz approach for dipolar one-dimensional bosons
Phys. Rev. B 101, 045102 (2020) [Crossref]
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- 1 2 Guillaume Lang