acknowledge valentin by citing his thesis and explain sep phases

references.bib

@@ -1619,3 +1619,15 @@
   publisher =    {American Institute of Physics},
   doi =          {10.1063/1.5022225}
 }
+
+@phdthesis{Link2022Jul,
+  author =       { Link, Valentin Technische Universität Dresden },
+  title =        { Stochastic dynamics of open quantum systems with
+                  applications to nonequilibrium phase transitions },
+  keywords =     { Hochschulschrift },
+  year =         2022,
+  institution =  {Institut für Theoretische Physik, Technische
+                  Universität Dresden},
+  address =      { Dresden },
+  url =          { http://slubdd.de/katalog?TN_libero_mab216914069 }
+}

src/analytical_solution.tex

@@ -132,10 +132,12 @@ Laplace transformation by expanding the BCF in terms of functions that
 have a simple Laplace transform. As we also use an exponential
 expansion in HOPS and are only interested in finite times, we may
 choose\footnote{This ansatz was found in private communication with
-  Valentin Link \orcidlink{0000-0002-1520-7931}.}
+  Valentin Link \cite{Link2022Jul}.}
 \(α_0(t)=\sum_{n=1}^N G_n \eu^{-W_n t - \i \varphi_n}\) with
 \(W_n=\gamma_n + \i\delta_n\) and
-\(G_n, \varphi_n, \gamma_n,\delta_n\in\RR\) for \(t\geq 0\).
+\(G_n, \varphi_n, \gamma_n,\delta_n\in\RR\) for \(t\geq 0\). We
+separate the phases of the complex numbers involved, as they will
+appear separated from the real parts due to the Laplace transform
 
 This leads to a mathematically simple expression for the Laplace
 transform