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Majorana string simulation of nonequilibrium dynamics in two-dimensional lattice fermion systems

Matteo D'Anna, Jannes Nys, and Juan Carrasquilla

  • Institute for Theoretical Physics, ETH Zürich, 8093 Zürich, Switzerland

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Phys. Rev. B 114, 034305 – Published 10 July, 2026

DOI: https://doi.org/10.1103/f6mn-jc3r

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.

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Outline

Information

Phys. Rev. B 114, 034305– Published 10 July, 2026
  • Received 9 December 2025
  • Revised 10 June 2026
  • Accepted 12 June 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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