Majorana string simulation of nonequilibrium dynamics in two-dimensional lattice fermion systems
Year: 2026
Type: article
Abstract: The study of real-time dynamics of fermions remains one of the last frontiers beyond the reach of classical simulations and is key to our understanding of quantum behavior in chemistry and materials, with implications for quantum technology. Here we present a Heisenberg-picture algorithm that propagates observables expressed in a Majorana-string basis using a truncation scheme that preserves Trotter accuracy. The framework is exact for quadratic Hamiltonians, where it remains restricted to a fixed low-weight sector determined by the physical observable, it admits variational initial states, and extends to interacting regimes via systematically controlled truncations. We benchmark our approach on one- and two-dimensional Fermi-Hubbard quenches, comparing against tensor network methods and recent experimental data. The method achieves high accuracy on timescales comparable to state-of-the-art variational techniques and experiments, demonstrating that controlled Majorana-string truncation is a practical tool for simulating two-dimensional fermionic dynamics.
DOI: 10.1103/f6mn-jc3r
Authors: Matteo D'Anna, Jannes Nys, Juan Carrasquilla
Institution: ETH Zurich
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W7104034404