diff --git a/field.ipynb b/field.ipynb index ecac5ce..994bbcc 100644 --- a/field.ipynb +++ b/field.ipynb @@ -50,44 +50,6 @@ "The vacuum decay continuously produces entanglement, as particles and antiparticles are constantly generated and propagate away from each other, thus correlating distant parts of the system. Entanglement plays a crucial role in the characterization of dynamical processes in quantum many-body systems, and its analysis permits us to quantify the quantum character of the generated correlations. \n" ] }, - { - "cell_type": "code", - "execution_count": 1, - "id": "6bdb7a87", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": { - "image/png": { - "height": 431, - "width": 567 - } - }, - "output_type": "display_data" - } - ], - "source": [ - "## heatmap with colorbar demo\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "\n", - "# Fixing random state for reproducibility\n", - "np.random.seed()\n", - "\n", - "plt.imshow(np.random.random((100, 100)))\n", - "\n", - "plt.subplots_adjust(bottom=0.1, right=0.8, top=0.9)\n", - "plt.colorbar(cax=plt.axes((0.85, 0.1, 0.075, 0.8)))\n", - "\n", - "plt.show()" - ] - }, { "cell_type": "markdown", "id": "f60190e1",