Exact closed-form unitary transformations of fermionic operators

Evangelista, Francesco A.; Magoulas, Ilias

doi:10.1103/physreva.111.042825

Title: Exact closed-form unitary transformations of fermionic operators

Journal Article · Fri Apr 25 00:00:00 UTC 2025 · Physical Review A

DOI: https://doi.org/10.1103/physreva.111.042825 · OSTI ID:2564676

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Emory University, Atlanta, GA (United States); Emory University
Emory University, Atlanta, GA (United States)

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 to Hamiltonian downfolding in quantum computing and Heisenberg dynamics. Furthermore, this work paves the way for new analytical treatments of unitary transformations and numerical many-body methods for fermions.

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Research Organization:: Emory University, Atlanta, GA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0019374

OSTI ID:: 2564676

Journal Information:: Physical Review A, Journal Name: Physical Review A Journal Issue: 4 Vol. 111; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: Exact closed-form unitary transformations of fermionic operators

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