26 July 2026 to 1 August 2026
University of Maryland, College Park
US/Eastern timezone

Tackling the Sign Problem in the Doped Hubbard Model with Normalizing Flows

28 Jul 2026, 16:10
20m
Thurgood Marshall (Adele H. Stamp Student Union)

Thurgood Marshall

Adele H. Stamp Student Union

3972 Campus Dr, College Park, MD 20742
Algorithms and artificial intelligence Algorithms and artificial intelligence

Speaker

Dominic Schuh (University of Bonn)

Description

The Hubbard model at finite chemical potential is a cornerstone for understanding doped correlated systems, but simulations are severely limited by the sign problem. In the auxiliary-field formulation, the spin basis mitigates the sign problem, yet severe ergodicity issues have limited its use. We extend recent advances with normalizing flows at half-filling to finite chemical potential by introducing an annealing scheme enabling ergodic sampling. Compared to state-of-the-art hybrid Monte Carlo in the charge basis, our approach accurately reproduces exact diagonalization results while reducing statistical uncertainties by an order of magnitude, opening a new path for simulations of doped correlated systems.

Author

Dominic Schuh (University of Bonn)

Co-authors

Janik Kreit (University of Bonn) Lena Funcke (University of Bonn) Simran Singh (HISKP, University of Bonn) Prof. Thomas Luu (Forshungszentrum Jülich)

Presentation materials