Some non-algebraic forms of $\exp(A+B)$
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910521240846336 |
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| author | Tapia-Valerdi, M. A. Ramos-Prieto, I. Soto-Eguibar, F. Moya-Cessa, H. M. |
| author_facet | Tapia-Valerdi, M. A. Ramos-Prieto, I. Soto-Eguibar, F. Moya-Cessa, H. M. |
| contents | We present examples where expressions for $\exp(\hat{A}+\hat{B})$ can be derived even though the operators (or superoperators) $\hat{A}$ and $\hat{B}$ do not commute in a manner that leads to known factorizations. We apply our factorization to the case of a Lindblad operator modeling single photon decay and to a binary Glauber-Fock photonic lattice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07241 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some non-algebraic forms of $\exp(A+B)$ Tapia-Valerdi, M. A. Ramos-Prieto, I. Soto-Eguibar, F. Moya-Cessa, H. M. Quantum Physics We present examples where expressions for $\exp(\hat{A}+\hat{B})$ can be derived even though the operators (or superoperators) $\hat{A}$ and $\hat{B}$ do not commute in a manner that leads to known factorizations. We apply our factorization to the case of a Lindblad operator modeling single photon decay and to a binary Glauber-Fock photonic lattice. |
| title | Some non-algebraic forms of $\exp(A+B)$ |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2407.07241 |