From 96d1fba00c2ae499056a81d430141d500d7695d8 Mon Sep 17 00:00:00 2001 From: Blaise Thompson Date: Mon, 14 May 2018 10:31:46 -0500 Subject: 2018-05-14 10:31 --- MX2/chapter.tex | 15 +++++---------- 1 file changed, 5 insertions(+), 10 deletions(-) (limited to 'MX2/chapter.tex') 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} -- cgit v1.2.3