Affiliation:
1. French National Centre for Scientific Research
2. Laboratoire de Physique et Modélisation des Milieux Condensés
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
Subject
General Physics and Astronomy
Cited by
4 articles.
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