Some non-algebraic forms of $\exp(A+B)$

M. A. Tapia-Valerdi; I. Ramos-Prieto; F. Soto-Eguibar; H. M. Moya-Cessa

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arXiv · 2407.07241

Some non-algebraic forms of $\exp(A+B)$

M. A. Tapia-Valerdi·I. Ramos-Prieto·F. Soto-Eguibar·H. M. Moya-Cessa

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Abstract

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.

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M. A. Tapia-Valerdi, I. Ramos-Prieto, F. Soto-Eguibar, H. M. Moya-Cessa. 2024-07-09. Some non-algebraic forms of $\exp(A+B)$. https://arxiv.org/abs/2407.07241

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