Speaker
Marc Bauer
Description
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 the complex Langevin method in both cases. For repulsive interactions, we find the results to converge well using adaptive step size scaling and a Gaussian regulator to modify the lattice action. Finally, we present results on density profiles and correlations of a harmonically trapped, one dimensional system in both position and momentum space, which are also directly accessible via cold atoms experiments.
Primary author
Marc Bauer
Co-authors
Felipe Attanasio
(Universität Heidelberg)
Jan Martin Pawlowski
(Heidelberg Institute for Theoretical Physics)
