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Open Quantum Systems Decoherence

Efficient classical simulation of time dynamics in Fermi-Hubbard models with imaginary interactions

arXiv
Authors: Raul A. Santos

Year

2026

Paper ID

3663

Status

Preprint

Abstract Read

~2 min

Abstract Words

80

Citations

N/A

Abstract

Using a map between the Lindbladian evolution of dephasing in free fermions and the time evolution of imaginary-interaction Fermi-Hubbard models in bipartite lattices, we present an efficient classical algorithm to solve the Schrödinger equation in these interacting systems. This algorithm leverages the recently discovered algorithm for simulating Lindbladian evolution by sampling mixed unitary channels (Wang et al arXiv:2601.06298). We comment on the expected classical complexity of the problem for general complex values of the parameters and discuss some applications.

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  • Using a map between the Lindbladian evolution of dephasing in free fermions and the time evolution of imaginary-interaction Fermi-Hubbard models in bipartite lattices, we...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.12368 [2] arXiv https://arxiv.org/abs/2601.12368 [3] Publisher https://arxiv.org/abs/2601.12368

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