From d41745ace9282fc2d3d1d7500bce9dfcdcdf1b16 Mon Sep 17 00:00:00 2001 From: Hugh Burton Date: Wed, 18 Nov 2020 20:14:29 +0000 Subject: [PATCH] restored HughHubbardDimer notebook --- Notebooks/HughHubbarrdDimer.nb | 41296 ++++++++++++++++--------------- 1 file changed, 21068 insertions(+), 20228 deletions(-) diff --git a/Notebooks/HughHubbarrdDimer.nb b/Notebooks/HughHubbarrdDimer.nb index ef5cd01..c532e2a 100644 --- a/Notebooks/HughHubbarrdDimer.nb +++ b/Notebooks/HughHubbarrdDimer.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 158, 7] -NotebookDataLength[ 3756398, 64944] -NotebookOptionsPosition[ 3744844, 64750] -NotebookOutlinePosition[ 3745183, 64765] -CellTagsIndexPosition[ 3745140, 64762] +NotebookDataLength[ 3807327, 65784] +NotebookOptionsPosition[ 3795773, 65590] +NotebookOutlinePosition[ 3796112, 65605] +CellTagsIndexPosition[ 3796069, 65602] WindowFrame->Normal*) (* Beginning of Notebook Content *) @@ -69,7 +69,7 @@ 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GrayLevel[0], + RectangleBox[{0, 0}]}, { + GrayLevel[0], + RectangleBox[{1, -1}]}, { + RGBColor[0, + Rational[2, 3], 0], + RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> + "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, + FrameStyle -> RGBColor[0., 0.4444444444444444, 0.], + FrameTicks -> None, PlotRangePadding -> None, ImageSize -> + Dynamic[{ + Automatic, 1.35 CurrentValue["FontCapHeight"]/ + AbsoluteCurrentValue[Magnification]}]], + StyleBox[ + RowBox[{"RGBColor", "[", + RowBox[{"0", ",", + FractionBox["2", "3"], ",", "0"}], "]"}], NumberMarks -> + False]], Appearance -> None, BaseStyle -> {}, + BaselinePosition -> Baseline, DefaultBaseStyle -> {}, + ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]}, + If[ + Not[ + AbsoluteCurrentValue["Deployed"]], + SelectionMove[Typeset`box$, All, Expression]; + FrontEnd`Private`$ColorSelectorInitialAlpha = 1; + FrontEnd`Private`$ColorSelectorInitialColor = + RGBColor[0, + Rational[2, 3], 0]; + FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; + MathLink`CallFrontEnd[ + FrontEnd`AttachCell[Typeset`box$, + FrontEndResource["RGBColorValueSelector"], { + 0, {Left, Bottom}}, {Left, Top}, + "ClosingActions" -> { + "SelectionDeparture", "ParentChanged", + "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> + Automatic, Method -> "Preemptive"], + RGBColor[0, + Rational[2, 3], 0], Editable -> False, Selectable -> + False]}], "]"}], ",", + RowBox[{"Directive", "[", + RowBox[{ + RowBox[{"Opacity", "[", "1.`", "]"}], ",", + RowBox[{"CapForm", "[", "\"Butt\"", "]"}], ",", + RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", + InterpretationBox[ + ButtonBox[ + TooltipBox[ + GraphicsBox[{{ + GrayLevel[0], + RectangleBox[{0, 0}]}, { + GrayLevel[0], + RectangleBox[{1, -1}]}, { + RGBColor[1, 0, 0], + RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> + "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, + FrameStyle -> RGBColor[0.6666666666666666, 0., 0.], + FrameTicks -> None, PlotRangePadding -> None, ImageSize -> + Dynamic[{ + Automatic, 1.35 CurrentValue["FontCapHeight"]/ + AbsoluteCurrentValue[Magnification]}]], + StyleBox[ + RowBox[{"RGBColor", "[", + RowBox[{"1", ",", "0", ",", "0"}], "]"}], NumberMarks -> + False]], Appearance -> None, BaseStyle -> {}, + BaselinePosition -> Baseline, DefaultBaseStyle -> {}, + ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]}, + If[ + Not[ + AbsoluteCurrentValue["Deployed"]], + SelectionMove[Typeset`box$, All, Expression]; + FrontEnd`Private`$ColorSelectorInitialAlpha = 1; + FrontEnd`Private`$ColorSelectorInitialColor = + RGBColor[1, 0, 0]; + FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; + MathLink`CallFrontEnd[ + FrontEnd`AttachCell[Typeset`box$, + FrontEndResource["RGBColorValueSelector"], { + 0, {Left, Bottom}}, {Left, Top}, + "ClosingActions" -> { + "SelectionDeparture", "ParentChanged", + "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> + Automatic, Method -> "Preemptive"], + RGBColor[1, 0, 0], Editable -> False, Selectable -> + False]}], "]"}], ",", + RowBox[{"Directive", "[", + RowBox[{ + RowBox[{"Opacity", "[", "1.`", "]"}], ",", + RowBox[{"CapForm", "[", "\"Butt\"", "]"}], ",", + RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", + InterpretationBox[ + ButtonBox[ + TooltipBox[ + GraphicsBox[{{ + GrayLevel[0], + RectangleBox[{0, 0}]}, { + GrayLevel[0], + RectangleBox[{1, -1}]}, { + RGBColor[0, 0, 1], + RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> + "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, + FrameStyle -> RGBColor[0., 0., 0.6666666666666666], + FrameTicks -> None, PlotRangePadding -> None, ImageSize -> + Dynamic[{ + Automatic, 1.35 CurrentValue["FontCapHeight"]/ + AbsoluteCurrentValue[Magnification]}]], + StyleBox[ + RowBox[{"RGBColor", "[", + RowBox[{"0", ",", "0", ",", "1"}], "]"}], NumberMarks -> + False]], Appearance -> None, BaseStyle -> {}, + BaselinePosition -> Baseline, DefaultBaseStyle -> {}, + ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]}, + If[ + Not[ + AbsoluteCurrentValue["Deployed"]], + SelectionMove[Typeset`box$, All, Expression]; + FrontEnd`Private`$ColorSelectorInitialAlpha = 1; + FrontEnd`Private`$ColorSelectorInitialColor = + RGBColor[0, 0, 1]; + FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; + MathLink`CallFrontEnd[ + FrontEnd`AttachCell[Typeset`box$, + FrontEndResource["RGBColorValueSelector"], { + 0, {Left, Bottom}}, {Left, Top}, + "ClosingActions" -> { + "SelectionDeparture", "ParentChanged", + "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> + Automatic, Method -> "Preemptive"], + RGBColor[0, 0, 1], Editable -> False, Selectable -> + False]}], "]"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{#, ",", #2, ",", #3, ",", #4}], "}"}], ",", + RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",", + RowBox[{"LabelStyle", "\[Rule]", + RowBox[{"{", + RowBox[{"FontFamily", "\[Rule]", "\"Times\""}], "}"}]}], ",", + RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], 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3eab70a65674"], -Cell[TextData[{ - StyleBox["In this notebook, we have investigated the convergence of the RMP \ -and UMP series in the Hubbard dimer through visualisation \non Riemann \ -surfaces. \n\n", - FontColor->RGBColor[1, 0, 0]], - StyleBox["Our main conclusions:", - FontWeight->"Bold", - FontColor->RGBColor[1, 0, 0]], - StyleBox["\n1) Exact FCI problem has intrinsic exceptional points in the U/t \ -complex plane, corresponding to an avoided crossing on the real axis.\n2) \ -When RMP converges, it does so fast. Both the ground- and excited-states have \ -the same radius of convergence as they are controlled\n by the same \ -exceptional point. However, this exceptional point is prone to moving within \ -the radius of convergence, causing divergence.\n3) Allowing the orbitals to \ -break symmetry in UMP gives a more robust convergence for ground-state by \ -removing energetic contamination\n in the reference at the expense of \ -adding triplet contamination. This convergence is at the expense of a \ -massively divergent excited-state\n perturbation series.\n \n", - FontColor->RGBColor[1, 0, 0]], - StyleBox["Moving Forwards...", - FontWeight->"Bold", - FontColor->RGBColor[1, 0, 0]], - StyleBox["\nOne of the more significant ideas could be the effect of orbital \ -optimisation on the radius of convergence. In the UHF case we saw that \n\ -ground-state orbital optimisation massively improved the robustness of the \ -ground-state MP expansion. ", - FontColor->RGBColor[1, 0, 0]], - StyleBox["Would excited-state\norbital optimisation would do the same for \ -excited-state MP expansions at the expense of ground-state convergence? \n", - FontWeight->"Bold", - FontColor->RGBColor[1, 0, 0]], - StyleBox["If so, this would provide reassurance in the computation of \ -dynamic correlation for state-specific excited states, and would suggest\n\ -that we should expect reliable behaviour in orbital-optimised coupled-cluster \ -expansions.", - FontColor->RGBColor[1, 0, 0]], - "\n" -}], "Text", - CellChangeTimes->{{3.814269827673455*^9, 3.814269857755002*^9}, { - 3.814271151755376*^9, 3.814271392564*^9}, {3.814271434020362*^9, - 3.8142716695547*^9}},ExpressionUUID->"c8622b61-f1b5-4100-9c90-7559df35a50a"] +Cell[, "Text",ExpressionUUID->"c8622b61-f1b5-4100-9c90-7559df35a50a"] }, Closed]] }, WindowSize->{1440, 851}, -WindowMargins->{{0, Automatic}, {-536, Automatic}}, +WindowMargins->{{0, Automatic}, {Automatic, -540}}, FrontEndVersion->"12.0 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