aboutsummaryrefslogtreecommitdiff
path: root/MX2
diff options
context:
space:
mode:
authorBlaise Thompson <blaise@untzag.com>2018-05-14 10:31:46 -0500
committerBlaise Thompson <blaise@untzag.com>2018-05-14 10:31:46 -0500
commit96d1fba00c2ae499056a81d430141d500d7695d8 (patch)
tree31720a4c6091a915d3e363328066164eb18ae492 /MX2
parent10898eded280c3e7f072f5bd0fa881422b5b0733 (diff)
2018-05-14 10:31
Diffstat (limited to 'MX2')
-rw-r--r--MX2/chapter.tex15
1 files changed, 5 insertions, 10 deletions
diff --git a/MX2/chapter.tex b/MX2/chapter.tex
index 6cfcdf8..01b2e15 100644
--- a/MX2/chapter.tex
+++ b/MX2/chapter.tex
@@ -465,7 +465,6 @@ features do not depend strongly on the $\omega_1$ frequency.
The spectral features in Figures \ref{fig:Czech03}, \ref{fig:Czech04} and \ref{fig:Czech05} depend
on the quantum mechanical interference effects caused by the different pathways. %
-\autoref{fig:Czech06} shows all of the Liouville pathways required to understand the spectral
features. \cite{PakoulevAndreiV2010a, PakoulevAndreiV2009a} %
These pathways correspond to the time orderings labeled V and VI in \autoref{fig:Czech02}b. The
letters denote the density matrix elements, $\rho_{ij}$, where g representest the ground state and
@@ -540,8 +539,8 @@ For the AB peak, $\omega_2$ and $\omega_{2^\prime}$ generate two kinds of excito
and (2) hot excitons in the A band. %
Relaxation to A may occur by interband transitions of B excitons or intraband transitions of hot A
excitons. %
-Either will lead to the GSB, SE, and ESA shown in the ee $\rightarrow$ e$^\prime$e$^\prime$
-population transfer pathways of \autoref{fig:Czech06}. %
+Either will lead to the GSB, SE, and ESA of the ee $\rightarrow$ e$^\prime$e$^\prime$ population
+transfer pathways. %
This relaxation must occur on the time scale of our pulse-width since the cross-peak asymmetry is
observed even during temporal overlap. %
We believe that intraband relaxation of hot A excitons is the main factor in breaking the symmetry
@@ -590,8 +589,6 @@ The pulse overlap region is complicated by the multiple Liouville pathways that
considered. %
Additionally, interference between scattered light from the $\omega_1$ excitation beam and the
output signal becomes a larger factor as the FWM signal decreases. %
-\autoref{fig:Czech09} shows the $\omega_1$, $\omega_2$, and $\omega_{2^\prime}$ time ordered
-pathway that becomes and important consideration for positive $\tau_{21}$ delay times. %
Since $\tau_{22^\prime}=0$, the initial $\omega_1$ pulse creates an excited-state coherence, while
the subsequent $\omega_2$ and $\omega_{2^\prime}$ pulses create the output coherence. %
The output signal is only important at short $\tau_{21}>0$ values because the initially excited
@@ -604,13 +601,11 @@ The resulting signal will therefore appear as the diagonal feature in \autoref{f
(\textit{e.g.}, see the +40 fs 2D spectrum). %
In addition to the diagonal feature in \autoref{fig:Czech08}, there is also a vertical feature when
$\omega_1$ is resonant with the A excitonic transition as well as the AB cross-peak. %
-These features are attributed to the pathways in \autoref{fig:Czech06}. %
Although these pathways are depressed when $\tau_{21}>0$, there is sufficient temporal overlap
between the $\omega_2$, $\omega_{2^\prime}$, and $\omega_1$ pulses to make their contribution
-comparable to those in \autoref{fig:Czech09}. %
-More positie values of $\tau_{21}$ emphasize the \autoref{fig:Czech09} pathways over the
-\autoref{fig:Czech06} pathways, accounting for the increasing percentage of diagonal character at
-increasingly positive delays. %
+comparable to V and VI. %
+More positie values of $\tau_{21}$ emphasize the I, III pathways over the V, VI pathways,
+accounting for the increasing percentage of diagonal character at increasingly positive delays. %
\begin{figure}
\includegraphics[width=\textwidth]{MX2/08}