From weak to strong: constrained extrapolation of perturbation series with 
applications to dilute Fermi systems

Wellenhofer, C.; Phillips, D. R.; Schwenk, A.

doi:10.1103/PhysRevResearch.2.043372

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学術論文

From weak to strong: constrained extrapolation of perturbation series with applications to dilute Fermi systems

MPS-Authors

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Schwenk, A.
Division Prof. Dr. Klaus Blaum, MPI for Nuclear Physics, Max Planck Society;

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https://journals.aps.org/prresearch/pdf/10.1103/PhysRevResearch.2.043372
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2006.01429.pdf
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引用

Wellenhofer, C., Phillips, D. R., & Schwenk, A. (2020). From weak to strong: constrained extrapolation of perturbation series with applications to dilute Fermi systems. Physical Review Research, 2(4):. doi:10.1103/PhysRevResearch.2.043372.

引用: https://hdl.handle.net/21.11116/0000-0007-9A71-C

要旨

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.