Exact closed-form unitary transformations of fermionic operators
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909571906273280 |
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| author | Evangelista, Francesco A. Magoulas, Ilias |
| author_facet | Evangelista, Francesco A. Magoulas, Ilias |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09636 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact closed-form unitary transformations of fermionic operators Evangelista, Francesco A. Magoulas, Ilias Quantum Physics Strongly Correlated Electrons Chemical Physics 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. |
| title | Exact closed-form unitary transformations of fermionic operators |
| topic | Quantum Physics Strongly Correlated Electrons Chemical Physics |
| url | https://arxiv.org/abs/2408.09636 |