Skip to content
Snippets Groups Projects
Commit aef4f70e authored by Stefan Gehr's avatar Stefan Gehr
Browse files

loop updates

parent 8640cbc4
Branches
Tags
No related merge requests found
Pipeline #94683 passed
File added
This diff is collapsed.
......@@ -81,7 +81,6 @@
{\color{lightgray} All possible configurations} \\
{\color{red} Significant configurations}
\end{minipage}
% TODO Tikz circle in circle
\end{block}
\begin{block}{Detailed Balance condition}
\begin{align*}
......@@ -151,7 +150,7 @@
Accept with probability
\begin{align*}
\min\left(1, e^{-\num{0.1} \times \left[4 - (-4)\right]}\right) = e^{-\num{0.8}} \approx \num{0.45} \\
\die{} = \num{0.63} > \num{0.45} \Rightarrow \text{decline} \Rightarrow \vec{\sigma}_1 = \vec{\sigma}_0 = \uparrow\uparrow\downarrow\uparrow
\die{} = \num{0.63} > \num{0.45} \Rightarrow \text{decline}
\end{align*}
}
\visible<6->{
......@@ -159,7 +158,7 @@
\begin{align*}
H(\uparrow\uparrow\uparrow\uparrow) = -12 \\
\min\left(1, e^{-\num{0.1}\times \left[-12 - (-4)\right]}\right) = \min(1, e^{\num{1.6}}) = 1 \\
\die{} \le 1 \Rightarrow \text{accept} \implies \vec{\sigma}_2 = \uparrow\uparrow\uparrow\uparrow
\die{} \le 1 \Rightarrow \text{accept}
\end{align*}
}
\end{minipage}
......@@ -240,6 +239,8 @@ Always accept the new configuration
\section{Quantum Monte Carlo}
\subsection{XXZ Quantum Spin Chain}
\subsection{Trotter Decomposition}
\subsection{Updating Schemes}
\subsection{Loop Updates}
\begin{frame}{Quantum Monte Carlo}
\begin{minipage}{0.45\linewidth}
\begin{block}{XXZ Quantum Spin Chain}
......@@ -322,6 +323,14 @@ Always accept the new configuration
\end{block}
\end{minipage}
\end{frame}
\begin{frame}{Loop Updates}
\begin{minipage}{0.48\linewidth}
\includegraphics[width=\linewidth]{graphmap.pdf}
\end{minipage}
\hfill
\begin{minipage}{0.48\linewidth}
\end{minipage}
\end{frame}
{
\nocite{*}
......
0% Loading or .
You are about to add 0 people to the discussion. Proceed with caution.
Please register or to comment