Exact closed-form unitary transformations of fermionic operators
Quantum Physics
2025-04-10 v2 Strongly Correlated Electrons
Chemical Physics
Abstract
Unitary transformations play a fundamental role in many-body physics, and except for special cases, they are not expressible in closed form. We present closed-form expressions for unitary transformations generated by a single fermionic operator for Hermitian and anti-Hermitian generators. We demonstrate the usefulness of these expressions in formal analyses of unitary transformations and numerical applications involving block-diagonalization and Heisenberg dynamics. This work paves the way for new analytical treatments of unitary transformations and numerical many-body methods for fermions.
Cite
@article{arxiv.2408.09636,
title = {Exact closed-form unitary transformations of fermionic operators},
author = {Francesco A. Evangelista and Ilias Magoulas},
journal= {arXiv preprint arXiv:2408.09636},
year = {2025}
}