Density profiles and correlations of harmonically trapped ultracold fermions via complex Langevin

Marc Bauer, Felipe Attanasio, Jan M. Pawlowski
2023 Proceedings of The 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)   unpublished
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
more » ... action. We present results on density profiles and correlations of a harmonically trapped system in one spatial dimension.
doi:10.22323/1.430.0363 fatcat:qwjdzkeamnfdbiatvcrd4jwwe4