From fc949f6605f114d27cafc835b1bc7fa3027050b3 Mon Sep 17 00:00:00 2001
From: Ruben Erlenstedt <rxy626@gmail.com>
Date: Sat, 30 Nov 2019 17:32:02 +0100
Subject: Plot x3 and x4 of hopf coordinates in 2D

---
 gnuplot_2d.plt        | 11 +++++++++++
 gnuplot_2q.plt        |  7 -------
 twoqbit_dequantify.py | 19 ++++++++++---------
 3 files changed, 21 insertions(+), 16 deletions(-)
 create mode 100644 gnuplot_2d.plt
 delete mode 100644 gnuplot_2q.plt

diff --git a/gnuplot_2d.plt b/gnuplot_2d.plt
new file mode 100644
index 0000000..b3bf993
--- /dev/null
+++ b/gnuplot_2d.plt
@@ -0,0 +1,11 @@
+set size square
+#plot cos(x),sin(y) w l lc rgb "#42a4f5"
+set xrange [-1.1:1.1]
+set yrange [-1.1:1.1]
+set xlabel "Re(V)"
+set ylabel "Im(V)"
+set xzeroaxis
+set yzeroaxis
+plot 'data' w points palette pointsize 2 pointtype 7 
+;
+pause mouse close
diff --git a/gnuplot_2q.plt b/gnuplot_2q.plt
deleted file mode 100644
index 6614b49..0000000
--- a/gnuplot_2q.plt
+++ /dev/null
@@ -1,7 +0,0 @@
-set view equal xyz
-set parametric
-set isosamples 34,34
-splot cos(u)*cos(v),cos(u)*sin(v),sin(u) w l lc rgb "#42a4f5"
-replot 'data2q' w points palette pointsize 2 pointtype 7 
-;
-pause mouse close
diff --git a/twoqbit_dequantify.py b/twoqbit_dequantify.py
index 9165a12..b6e0abb 100644
--- a/twoqbit_dequantify.py
+++ b/twoqbit_dequantify.py
@@ -4,18 +4,18 @@ import cmath as cmt
 import numpy as npy
 import scipy.linalg as sla
 
-alpha = 1
-beta  = 1
+alpha = 2
+beta  = 0
 gamma = 1
-delta = 1
+delta = 1+1j
 
 norm  = npy.linalg.norm([alpha, beta, gamma, delta])
 state = npy.array([alpha / norm, beta / norm, gamma / norm, delta / norm])
 
-dt = 0.1
-iterations = 5
+dt = 0.05
+iterations = 20
 
-H = npy.array([[1,0,0,0],[0,2,0,0],[0,0,3,0],[0,0,0,4]])
+H = npy.array([[1,0,0,1j],[0,2,0,0],[0,0,3,0],[-1j,0,0,4]])
 
 M0 = [[1,0,0,0],[0,1,0,0],[0,0,-1,0],[0,0,0,-1]]
 M1 = [[0,0,1,0],[0,0,0,1],[1,0,0,0],[0,1,0,0]]
@@ -37,13 +37,14 @@ def fibration(state):
     return ([x0.real,x1.real,x2.real,x3,x4])
 
 
-f = open("data2q", "w")
+f = open("data", "w")
 
 for i in range(iterations + 1):
     hopf_state = fibration(state)
-    f.write(f"{hopf_state[0]}; {hopf_state[1]}; {hopf_state[2]}; {(i + 1) / (iterations + 1)}\n")
+    f.write(f"{hopf_state[3]}; {hopf_state[4]}; {(i + 1) / (iterations + 1)}\n")
+    print(hopf_state)
     state = time_evolution(state)
 
 f.close()
 
-subprocess.run(["gnuplot", "gnuplot_2q.plt"])
+subprocess.run(["gnuplot", "gnuplot_2d.plt"])
-- 
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