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Quantum Physics

arXiv:2407.07241 (quant-ph)
[Submitted on 9 Jul 2024 ]

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

Title: 一些非代数形式的$\exp(A+B)$

Authors:M. A. Tapia-Valerdi, I. Ramos-Prieto, F. Soto-Eguibar, H. M. Moya-Cessa
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.
Abstract: 我们给出一些例子,其中即使算子(或超算子)$\hat{A}$和$\hat{B}$以一种导致已知分解方式的方式不交换,也可以推导出$\exp(\hat{A}+\hat{B})$的表达式。 我们将我们的分解方法应用于描述单光子衰减的林德布洛德算子以及二元格劳伯-福克光子晶格的情况。
Subjects: Quantum Physics (quant-ph)
Cite as: arXiv:2407.07241 [quant-ph]
  (or arXiv:2407.07241v1 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.2407.07241
arXiv-issued DOI via DataCite

Submission history

From: Marco Antonio Tapia Valerdi [view email]
[v1] Tue, 9 Jul 2024 21:39:46 UTC (632 KB)
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