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Free keywords:
Condensed Matter, Quantum Gases, cond-mat.quant-gas,High Energy Physics - Phenomenology, hep-ph,Nuclear Theory, nucl-th
MPINP:
Starke Wechselwirkung und exotische Kerne – Abteilung Blaum
Abstract:
We develop a method that uses truncation-order-dependent re-expansions
constrained by generic strong-coupling information to extrapolate perturbation
series to the nonperturbative regime. The method is first benchmarked against a
zero-dimensional model field theory and then applied to the dilute Fermi gas in
one and three dimensions. Overall, our method significantly outperforms Pad\'e
and Borel extrapolations in these examples. The results for the ground-state
energy of the three-dimensional Fermi gas are robust with respect to changes of
the form of the re-expansion and compare well with quantum Monte Carlo
simulations throughout the BCS regime and beyond.
