Exact quantum dynamics of Fermi–Hubbard systems using the Gaussian phase-space representation with diffusion gauges
Artikel i vetenskaplig tidskrift, 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
Författare
François Rousse
Uppsala universitet
Massimiliano Fasi
University of Leeds
Andrii Dmytryshyn
Göteborgs universitet
Chalmers, Matematiska vetenskaper, Tillämpad matematik och statistik
Örebro universitet
Mårten Gulliksson
Örebro universitet
Joel F. Corney
University of Queensland
Magnus Ögren
Institute of Emerging Technologies
Örebro universitet
Computer Physics Communications
0010-4655 (ISSN)
Vol. 328 110338Ämneskategorier (SSIF 2025)
Atom- och molekylfysik och optik
DOI
10.1016/j.cpc.2026.110338