English

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

Quantum Physics 2024-07-11 v1

Abstract

We present examples where expressions for exp(A^+B^)\exp(\hat{A}+\hat{B}) can be derived even though the operators (or superoperators) A^\hat{A} and B^\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.

Keywords

Cite

@article{arxiv.2407.07241,
  title  = {Some non-algebraic forms of $\exp(A+B)$},
  author = {M. A. Tapia-Valerdi and I. Ramos-Prieto and F. Soto-Eguibar and H. M. Moya-Cessa},
  journal= {arXiv preprint arXiv:2407.07241},
  year   = {2024}
}
R2 v1 2026-06-28T17:34:59.341Z