Exact quantum dynamics of Fermi–Hubbard systems using the Gaussian phase-space representation with diffusion gauges
Journal article, 2026
We use the Gaussian Phase-Space Representation to solve the real-time dynamic of interacting fermions in 1D, 2D, and 3D systems. The method is exact up to a spiking point, which represents a limit on the practical simulation time. The spiking can be delayed, and the practical simulation time extended, by adjusting the gauges of the representation, resulting in different equivalent stochastic differential equations. Here, we work on the so-called diffusion gauge and propose an algorithm to find efficiently new implementations of the noise terms. Compared with our initial results [F. Rousse et al. 2024, J. Phys. A: Math. Theor. 57, 015303], the new method achieves a significantly longer practical simulation time and still can be applied to significantly larger systems.
Fermi-Hubbard model
Diffusion gauges
Singular value decomposition
Phase-space representations
Exact quantum dynamics
Author
François Rousse
Uppsala University
Massimiliano Fasi
University of Leeds
Andrii Dmytryshyn
University of Gothenburg
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
Örebro University
Mårten Gulliksson
Örebro University
Joel F. Corney
University of Queensland
Magnus Ögren
Institute of Emerging Technologies
Örebro University
Computer Physics Communications
0010-4655 (ISSN)
Vol. 328 110338Subject Categories (SSIF 2025)
Atom and Molecular Physics and Optics
DOI
10.1016/j.cpc.2026.110338