From b696acf6daf22c4c9a6ef8a11aec5ba65e1d8e16 Mon Sep 17 00:00:00 2001 From: Hugh Burton Date: Fri, 4 Dec 2020 16:15:43 +0000 Subject: [PATCH] Re-added contour to fig1b --- Manuscript/EPAWTFT.tex | 3 +-- Manuscript/fig1b.pdf | Bin 478884 -> 472224 bytes 2 files changed, 1 insertion(+), 2 deletions(-) diff --git a/Manuscript/EPAWTFT.tex b/Manuscript/EPAWTFT.tex index ae2b5a1..7146f0a 100644 --- a/Manuscript/EPAWTFT.tex +++ b/Manuscript/EPAWTFT.tex @@ -338,7 +338,6 @@ unless otherwise stated, atomic units will be used throughout. Exact energies for the Hubbard dimer ($U=4t$) as functions of $\lambda$ on the real axis (\subref{subfig:FCI_real}) and in the complex plane (\subref{subfig:FCI_cplx}). Only the interacting closed-shell singlets are plotted in the complex plane, becoming degenerate at the EP (black dot). The contour followed around the EP in order to interchange states is also represented. - \hugh{HUGH TO ADD CONTOUR AGAIN....} \label{fig:FCI}} \end{figure*} @@ -1927,7 +1926,7 @@ and applications of perturbation theory. % DIRECTIONS Perturbation theory isn't usually considered in the complex plane. -But when it is, we have seen that a lot can be learnt about the performance of perturbation theory on the real axis. +But when it is, a lot can be learnt about the performance of perturbation theory on the real axis. These insights can allow incredibly accurate results to be obtained using only the lowest-order terms in a perturbation series. 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