PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Theoretical Developments
Density profiles and correlations of harmonically trapped ultracold fermions via complex Langevin
F. Attanasio, M. Bauer* and J.M. Pawlowski
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Pre-published on: January 06, 2023
Published on: April 06, 2023
Standard lattice formulations of non-relativistic Fermi gases with two spin components suffer from
a sign problem in the cases of repulsive contact interactions and attractive contact interactions
with spin imbalance. We discuss the nature of this sign problem and the applicability of stochastic
quantisation with complex Langevin evolution in both cases. For repulsive interactions, we find
that the results converge, using adaptive step size scaling and a Gaussian regulator to modify the
lattice action. We present results on density profiles and correlations of a harmonically trapped
system in one spatial dimension.
DOI: https://doi.org/10.22323/1.430.0363
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