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    "# Lecture 22.3: Optical matrix elements — an analytical expression for the dipole matrix element\n",
    "\n",
    "*From* [Nanoelectronic Modeling — From Atoms to Devices](https://nanohub.org/resources/45001),\n",
    "*Gerhard Klimeck, Purdue University. Lecture page:* [nanoHUB resource 45279](https://nanohub.org/resources/45279)\n",
    "— [video](https://nanohub.org/resources/45308) · [slides](https://nanohub.org/resources/45307)\n",
    "\n",
    "**In this lecture**\n",
    "\n",
    "- The dipole matrix element of the particle in a box in closed form, from the sine wave functions:\n",
    "  finite when $f - i$ is odd, zero when it is even.\n",
    "- Two limiting cases read off the formula: transitions between distant levels are weak\n",
    "  ($\\mu \\propto i/f^3$), and the strength scales with the box size ($\\mu \\propto L$), so smaller\n",
    "  structures couple more weakly at a given field.\n",
    "- A summary of section 22: light couples states through the dipole matrix element, parity sets the\n",
    "  selection rule, and the strength fades with the separation of the states and with the box size.\n",
    "\n",
    "**In this notebook** you derive the formula, compare it element by element with the dipole matrix\n",
    "elements of open-nemo's discretized box (and watch the discretization error vanish as the grid is\n",
    "refined), verify the $i/f^3$ and nearest-neighbour limits, scale the box from 2 to 20 nm, and then use the\n",
    "library's oscillator strengths to see which quantities do and do not shrink with the box: the\n",
    "oscillator strength and its sum rule, and the spontaneous emission rate."
   ]
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   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.ticker import NullFormatter, ScalarFormatter\n",
    "from scipy.linalg import eigh_tridiagonal\n",
    "import opennemo as nemo\n",
    "from opennemo.core import units\n",
    "from opennemo.simulations import optics\n",
    "from opennemo.visualization import style\n",
    "\n",
    "style.use(notebook=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3824fea6",
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   "source": [
    "## 1. The dipole matrix element of the box in closed form\n",
    "\n",
    "The lecture plugs the box states into the dipole integral. With the walls at $x = \\pm L/2$ and the\n",
    "states counted from $n = 0$,\n",
    "\n",
    "$$\\psi_n(x) = \\sqrt{\\frac{2}{L}}\\,\\sin\\frac{(n+1)\\pi(x + L/2)}{L},$$\n",
    "\n",
    "and the integral can be done by hand. Write $p = i + 1$ and $q = f + 1$ for the number of half-wavelengths\n",
    "of the two states (the sine's own quantum number), and shift the origin to the left wall: for $i \\ne f$\n",
    "the shift adds $(L/2)\\langle\\psi_i|\\psi_f\\rangle = 0$, so it does not change the element. The product of\n",
    "sines becomes a difference of cosines, $2\\sin a\\sin b = \\cos(a - b) - \\cos(a + b)$, and with\n",
    "$\\int_0^L x\\cos(k\\pi x/L)\\,dx = (L/k\\pi)^2\\,[(-1)^k - 1]$ for an integer $k \\ne 0$,\n",
    "\n",
    "$$\\langle\\psi_i|x|\\psi_f\\rangle = \\frac{L}{\\pi^2}\\left[\\frac{(-1)^{p-q} - 1}{(p-q)^2}\n",
    "- \\frac{(-1)^{p+q} - 1}{(p+q)^2}\\right].$$\n",
    "\n",
    "Both brackets vanish when $p - q$ is even, and both are $-2$ when it is odd. Up to an overall sign,\n",
    "which depends on the phase convention of the states and drops out of every rate ($\\propto|\\mu|^2$), this\n",
    "is the slide's result:\n",
    "\n",
    "$$\\mu_{if} = \\begin{cases}\n",
    "\\dfrac{2eL}{\\pi^2}\\left[\\dfrac{1}{(i-f)^2} - \\dfrac{1}{(i+f)^2}\\right]\n",
    "= \\dfrac{8eL}{\\pi^2}\\,\\dfrac{if}{(f^2 - i^2)^2}, & f - i \\text{ odd},\\\\[2ex]\n",
    "0, & f - i \\text{ even}.\n",
    "\\end{cases}$$\n",
    "\n",
    "One point of reading: in this formula $i$ and $f$ are the sine quantum numbers $p, q = 1, 2, \\dots$, not\n",
    "the labels $n = 0, 1, \\dots$ of the states; with the labels from zero, $i = 0$ would make every element\n",
    "vanish. Since $p - q = i - f$, the selection rule of lecture 22.2 is the same in both countings.\n",
    "\n",
    "![Slide 2: the analytic dipole matrix element and the table of up and down transitions](attachment:slide_002_crop.png)\n",
    "\n",
    "*Slide 2: the closed-form μ for the box states and the table of allowed upward (U) and downward (D)\n",
    "transitions between n = 0 … 7.*\n",
    "\n",
    "We check the formula against open-nemo. The effective-mass model (`Heterostructure1D`) of a 10 nm GaAs\n",
    "layer with hard walls is a discretized box: the sines are exact on the grid points, but the energies\n",
    "and the matrix elements carry a discretization error that should fall as the square of the grid\n",
    "spacing $\\Delta$."
   ],
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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b0c27d89",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T21:46:34.821969Z",
     "iopub.status.busy": "2026-10-24T21:46:34.821850Z",
     "iopub.status.idle": "2026-10-24T21:46:34.828787Z",
     "shell.execute_reply": "2026-10-24T21:46:34.828396Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8eL/π² · if/(f² − i²)² in nm (upper triangle), |open-nemo| − formula in 1e-8 nm (lower triangle)\n",
      "             0        1        2        3        4        5        6        7\n",
      "  0          ·   1.8013   0.0000   0.1441   0.0000   0.0397   0.0000   0.0163\n",
      "  1      -0.01        ·   1.9454   0.0000   0.1838   0.0000   0.0560   0.0000\n",
      "  2       0.00    -0.03        ·   1.9851   0.0000   0.2001   0.0000   0.0643\n",
      "  3      -0.02     0.00    -0.06        ·   2.0014   0.0000   0.2084   0.0000\n",
      "  4       0.00    -0.05     0.00    -0.11        ·   2.0097   0.0000   0.2132\n",
      "  5      -0.03     0.00    -0.09     0.00    -0.16        ·   2.0144   0.0000\n",
      "  6       0.00    -0.07     0.00    -0.15     0.00    -0.22        ·   2.0174\n",
      "  7      -0.04     0.00    -0.13     0.00    -0.21     0.00    -0.29        ·\n"
     ]
    }
   ],
   "source": [
    "M, L = 0.067, 10.0                     # GaAs electron mass (m0), box width (nm)\n",
    "H2M0 = units.HBAR2_2M0\n",
    "gaas = nemo.structures.materials.EffectiveMassMaterial(\"GaAs\", M, 12.9)\n",
    "\n",
    "\n",
    "def box(width=L, dx=0.02, num=8):\n",
    "    \"\"\"Hard-wall GaAs box exactly `width` nm wide (ψ = 0 one spacing beyond the end sites), centred:\n",
    "    device, x (nm), lowest `num` energies (eV) and states ψ (1/√nm, columns).\"\"\"\n",
    "    dev = nemo.Heterostructure1D([nemo.Layer(gaas, width - dx)], spacing=dx)\n",
    "    x = dev.x - dev.x.mean()\n",
    "    h = dev.hamiltonian.sparse.matrices[0].real\n",
    "    e, psi = eigh_tridiagonal(h.diagonal(), h.diagonal(1), select=\"i\", select_range=(0, num - 1))\n",
    "    return dev, x, e, psi / np.sqrt(dx)\n",
    "\n",
    "\n",
    "def dipoles(x, psi, dx):\n",
    "    return np.abs(psi.T @ (x[:, None] * psi) * dx)     # |<ψi|x|ψf>| (nm)\n",
    "\n",
    "\n",
    "def mu_analytic(n_i, n_f, width=L):\n",
    "    \"\"\"|<ψi|x|ψf>| (nm) of the box from the slide's formula; n_i, n_f are labels from 0.\"\"\"\n",
    "    p, q = np.asarray(n_i) + 1, np.asarray(n_f) + 1    # sine quantum numbers\n",
    "    with np.errstate(divide=\"ignore\", invalid=\"ignore\"):\n",
    "        val = 8 * width / np.pi**2 * p * q / (q**2 - p**2) ** 2\n",
    "    return np.where((q - p) % 2 == 1, val, 0.0)\n",
    "\n",
    "\n",
    "n = np.arange(8)\n",
    "exact = mu_analytic(n[:, None], n[None, :])\n",
    "dev, x, e, psi = box()\n",
    "num = dipoles(x, psi, dev.spacing)\n",
    "print(\"8eL/π² · if/(f² − i²)² in nm (upper triangle), |open-nemo| − formula in 1e-8 nm (lower triangle)\")\n",
    "print(\"     \" + \"\".join(f\"{f:9d}\" for f in range(8)))\n",
    "for i in range(8):\n",
    "    row = []\n",
    "    for f in range(8):\n",
    "        row.append(\"        ·\" if i == f else f\"{exact[i, f]:9.4f}\" if f > i\n",
    "                   else f\"{1e8 * (num[i, f] - exact[i, f]):9.2f}\")\n",
    "    print(f\"{i:3d}  \" + \"\".join(row))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d11cd1bc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T21:46:34.829819Z",
     "iopub.status.busy": "2026-10-24T21:46:34.829743Z",
     "iopub.status.idle": "2026-10-24T21:46:34.838607Z",
     "shell.execute_reply": "2026-10-24T21:46:34.838166Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  Δ (nm)   sites   largest relative error of the allowed elements   error / Δ⁴ (1/nm⁴)\n",
      "  0.1000      99                 1.62e-05                           0.162\n",
      "  0.0500     199                 1.01e-06                           0.161\n",
      "  0.0250     399                 6.29e-08                           0.161\n",
      "  0.0125     799                 3.93e-09                           0.161\n"
     ]
    }
   ],
   "source": [
    "allowed = exact > 0\n",
    "print(\"  Δ (nm)   sites   largest relative error of the allowed elements   error / Δ⁴ (1/nm⁴)\")\n",
    "for dx in (0.1, 0.05, 0.025, 0.0125):\n",
    "    d, xx, ee, pp = box(dx=dx)\n",
    "    err = np.max(np.abs(dipoles(xx, pp, dx) - exact)[allowed] / exact[allowed])\n",
    "    print(f\"{dx:8.4f} {d.num_sites:7d}   {err:22.2e}{'':24s}{err / dx**4:8.3f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "912d3874",
   "metadata": {},
   "source": [
    "The formula and the open-nemo box agree to better than $10^{-8}$ nm on the 0.02 nm grid, and the\n",
    "relative error falls by 16 each time the spacing halves (the last column is constant). The energies of\n",
    "the discretized box converge only as $\\Delta^2$, but its eigenvectors are the\n",
    "sines sampled exactly at the grid points, so what remains is the error of summing $\\psi_i\\,x\\,\\psi_f$ on\n",
    "the grid instead of integrating it, and its $\\Delta^2$ term vanishes because the integrand and its slope\n",
    "are zero at the walls. Every forbidden element is zero in both.\n",
    "\n",
    "## 2. Limiting cases: distant levels couple weakly\n",
    "\n",
    "The formula looks awkward, the lecturer admits, but its limits are telling. If the final state is far\n",
    "above the initial one, $f \\gg i$, then $f^2 - i^2 \\approx f^2$ and\n",
    "\n",
    "$$\\mu_{if} \\approx \\frac{8eL}{\\pi^2}\\,\\frac{i}{f^3}:$$\n",
    "\n",
    "large jumps, from a low to a very high quantum number or back down, are allowed by parity but weak.\n",
    "The strongest transitions are those between neighbours, where the first term of the bracket,\n",
    "$1/(i - f)^2$, is largest. For neighbours $f = i + 1$ the element tends to a constant,\n",
    "\n",
    "$$\\mu_{i,i+1} = \\frac{8eL}{\\pi^2}\\,\\frac{i(i+1)}{(2i+1)^2} \\to \\frac{2eL}{\\pi^2} \\approx 0.203\\,eL\n",
    "\\quad (i \\to \\infty).$$\n",
    "\n",
    "![Slide 3: the transitions between the levels of the box](attachment:slide_003_crop.png)\n",
    "\n",
    "*Slide 3: downward (red) and upward (blue) transitions between the box levels; the lecture's limiting\n",
    "cases: large f − i gives small strength, and small systems L give small strength.*"
   ],
   "attachments": {
    "slide_003_crop.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "4f28849a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T21:46:34.839709Z",
     "iopub.status.busy": "2026-10-24T21:46:34.839624Z",
     "iopub.status.idle": "2026-10-24T21:46:35.182618Z",
     "shell.execute_reply": "2026-10-24T21:46:35.182115Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "|x_01| = 1.8013 nm, |x_03| = 0.1441 nm, |x_0,39| = 1.27e-04 nm\n",
      "|x_01| / |x_03| = 12.5  (formula 12.5)\n",
      "neighbours: |x_01| / L = 0.1801, |x_38,39| / L = 0.2026, 2/π² = 0.2026\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1210x462 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dev40, x40, e40, psi40 = box(dx=0.01, num=40)                # 40 states on a 0.01 nm grid\n",
    "X40 = dipoles(x40, psi40, dev40.spacing)\n",
    "f_all = np.arange(1, 40)\n",
    "\n",
    "fig, axs = plt.subplots(1, 2, figsize=(11, 4.2))\n",
    "ax = axs[0]\n",
    "for i, c in zip((0, 1, 2, 4), style.sweep(4)):\n",
    "    fs = f_all[(f_all > i) & ((f_all - i) % 2 == 1)]\n",
    "    ax.loglog(fs + 1, X40[i, fs] / L, \"o\", ms=4, color=c, label=f\"open-nemo, i = {i}\")\n",
    "    ax.loglog(fs + 1, mu_analytic(i, fs) / L, \"-\", lw=0.8, color=c)\n",
    "    ax.loglog(fs + 1, 8 / np.pi**2 * (i + 1) / (fs + 1.0) ** 3, \":\", lw=0.8, color=c)\n",
    "ax.set(xlabel=\"sine quantum number of the final state, f + 1\", ylabel=\"|⟨ψᵢ|x|ψ_f⟩| / L\",\n",
    "       title=\"allowed transitions from state i (dotted: 8i/π²f³)\", xticks=[2, 3, 5, 10, 20, 40])\n",
    "ax.xaxis.set_major_formatter(ScalarFormatter())\n",
    "ax.xaxis.set_minor_formatter(NullFormatter())\n",
    "ax.legend(fontsize=8, frameon=False)\n",
    "\n",
    "ax = axs[1]\n",
    "ii = np.arange(0, 39)\n",
    "ax.plot(ii, X40[ii, ii + 1] / L, \"o\", ms=4, color=style.OPEN_NEMO, label=\"open-nemo, f = i + 1\")\n",
    "ax.plot(ii, mu_analytic(ii, ii + 1) / L, \"-\", lw=0.8, color=style.REFERENCE, label=\"formula\")\n",
    "ax.axhline(2 / np.pi**2, ls=\"--\", color=style.CONTEXT, lw=1, label=\"2/π² (i → ∞)\")\n",
    "ax.set(xlabel=\"initial state i\", ylabel=\"|⟨ψᵢ|x|ψᵢ₊₁⟩| / L\", title=\"neighbouring levels\")\n",
    "ax.legend(fontsize=8, frameon=False)\n",
    "fig.tight_layout()\n",
    "\n",
    "print(f\"|x_01| = {X40[0, 1]:.4f} nm, |x_03| = {X40[0, 3]:.4f} nm, |x_0,39| = {X40[0, 39]:.2e} nm\")\n",
    "print(f\"|x_01| / |x_03| = {X40[0, 1] / X40[0, 3]:.1f}  (formula {mu_analytic(0, 1) / mu_analytic(0, 3):.1f})\")\n",
    "print(f\"neighbours: |x_01| / L = {X40[0, 1] / L:.4f}, |x_38,39| / L = {X40[38, 39] / L:.4f}, \"\n",
    "      f\"2/π² = {2 / np.pi**2:.4f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ef9e7bae",
   "metadata": {},
   "source": [
    "From the ground state the elements fall as $1/f^3$: $|x_{01}|$ is 12.5 times $|x_{03}|$, and the jump\n",
    "from the ground state to the 40th level is four orders of magnitude weaker than the first. The far-jump\n",
    "asymptote $8i/(\\pi^2 f^3)$ (dotted) is approached from above for every initial state once $f$ is a few\n",
    "times $i$. Between neighbours the element grows slowly from $0.180L$ and saturates at $2L/\\pi^2 =\n",
    "0.203L$: in a box the strongest transitions are always the steps by one level.\n",
    "\n",
    "## 3. Limiting case: small boxes couple weakly\n",
    "\n",
    "The second limit is the prefactor: every element is proportional to $L$. The matrix element is a\n",
    "length, the size of the charge displacement that the light can drive between the two states, and a\n",
    "smaller box has less room for it. We compute $|x_{01}|$ with open-nemo for boxes from 2 to 20 nm:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "339f789a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T21:46:35.183806Z",
     "iopub.status.busy": "2026-10-24T21:46:35.183726Z",
     "iopub.status.idle": "2026-10-24T21:46:35.704309Z",
     "shell.execute_reply": "2026-10-24T21:46:35.703898Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  L (nm)  |x01| (nm)  |x01|/L   E1 - E0 (meV)   f01·m*/m0   Σf f0f·m*/m0 (40 states)\n",
      "    2.0     0.3603    0.1801        4208.9       0.9606         0.9999\n",
      "    3.0     0.5404    0.1801        1870.7       0.9606         0.9999\n",
      "    4.0     0.7205    0.1801        1052.3       0.9607         1.0000\n",
      "    5.0     0.9006    0.1801         673.5       0.9607         1.0000\n",
      "    6.0     1.0808    0.1801         467.7       0.9607         1.0000\n",
      "    8.0     1.4410    0.1801         263.1       0.9607         1.0000\n",
      "   10.0     1.8013    0.1801         168.4       0.9607         1.0000\n",
      "   12.0     2.1615    0.1801         116.9       0.9607         1.0000\n",
      "   15.0     2.7019    0.1801          74.8       0.9607         1.0000\n",
      "   20.0     3.6025    0.1801          42.1       0.9607         1.0000\n",
      "16/(9π²) = 0.1801;  analytic f01 m*/m0 = 256/(27π²) = 0.9607\n"
     ]
    }
   ],
   "source": [
    "widths = np.array([2, 3, 4, 5, 6, 8, 10, 12, 15, 20.0])\n",
    "rows = []\n",
    "for w in widths:\n",
    "    d, xx, ee, pp = box(width=w, dx=0.01, num=40)\n",
    "    tr = optics.transitions(d.hamiltonian.sparse.matrices[0], optics.velocity(d.hamiltonian),\n",
    "                            (-1.0, -0.5), num_conduction=40, num_valence=0)\n",
    "    fosc = optics.oscillator_strengths(tr[\"energies\"], tr[\"matrix\"][0])\n",
    "    rows.append((dipoles(xx, pp, d.spacing)[0, 1], ee[1] - ee[0], fosc[0, 1], fosc[0, 1:].sum()))\n",
    "x01, de01, f01, f_sum = map(np.array, zip(*rows))\n",
    "print(\"  L (nm)  |x01| (nm)  |x01|/L   E1 - E0 (meV)   f01·m*/m0   Σf f0f·m*/m0 (40 states)\")\n",
    "for w, a, d_e, fo, fs in zip(widths, x01, de01, f01, f_sum):\n",
    "    print(f\"{w:7.1f} {a:10.4f} {a / w:9.4f} {1e3 * d_e:13.1f} {fo * M:12.4f} {fs * M:14.4f}\")\n",
    "print(f\"16/(9π²) = {16 / (9 * np.pi**2):.4f};  analytic f01 m*/m0 = 256/(27π²) = {256 / (27 * np.pi**2):.4f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "69240042",
   "metadata": {},
   "source": [
    "$|x_{01}|/L = 16/(9\\pi^2) = 0.180$ for every width: the dipole matrix element is strictly proportional to\n",
    "the box size, as the lecture states. At a given optical field, a smaller box couples more weakly.\n",
    "\n",
    "The same table shows that this is not the whole story, and this is the exploration of this notebook.\n",
    "The level spacing grows as $1/L^2$ (from 42 meV at 20 nm to 4.2 eV at 2 nm, where the infinite-wall\n",
    "model has long stopped describing a real well). The **oscillator strength** combines the two,\n",
    "\n",
    "$$f_{if} = \\frac{2m_0}{\\hbar^2}\\,(E_f - E_i)\\,|\\langle\\psi_i|x|\\psi_f\\rangle|^2 ,$$\n",
    "\n",
    "and $L^{-2}\\cdot L^2$ makes it independent of the size: $f_{01} = 256/(27\\pi^2)\\,m_0/m^* = 0.961\\,m_0/m^*$\n",
    "for every box. The library's `optics.oscillator_strengths`, computed from the velocity operator, gives\n",
    "exactly that, and the sum over all final states approaches the Thomas–Reiche–Kuhn sum rule\n",
    "$\\sum_f f_{0f} = m_0/m^*$ (the 0 → 1 transition alone carries 96 % of it). Rates that weigh\n",
    "$|\\mu|^2$ with powers of the transition frequency therefore do not shrink with the box. The spontaneous\n",
    "emission rate of lecture 22.1, $A \\propto \\omega^3|x|^2 \\propto L^{-6}L^2$, even grows as $L^{-4}$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "12512723",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T21:46:35.705854Z",
     "iopub.status.busy": "2026-10-24T21:46:35.705753Z",
     "iopub.status.idle": "2026-10-24T21:46:35.937260Z",
     "shell.execute_reply": "2026-10-24T21:46:35.936769Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A10: 1.21e+10 1/s at 2 nm, 1.21e+06 1/s at 20 nm; power law L^-4.000\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1430x418 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_r = 3.3                                              # refractive index of GaAs\n",
    "omega = de01 / units.HBAR                              # rad/s\n",
    "A = (n_r * units.Q**2 * omega**3 * (x01 * 1e-9) ** 2\n",
    "     / (3 * np.pi * units.EPS0 * units.HBAR * units.Q * units.C_LIGHT**3))\n",
    "slope = np.polyfit(np.log(widths), np.log(A), 1)[0]\n",
    "\n",
    "fig, axs = plt.subplots(1, 3, figsize=(13, 3.8))\n",
    "axs[0].plot(widths, x01, \"o-\", color=style.OPEN_NEMO, ms=4, label=\"open-nemo\")\n",
    "axs[0].plot(widths, 16 * widths / (9 * np.pi**2), \"--\", color=style.REFERENCE, lw=1, label=\"16L/9π²\")\n",
    "axs[0].set(xlabel=\"box width L (nm)\", ylabel=\"|⟨ψ₀|x|ψ₁⟩| (nm)\", title=\"dipole matrix element ∝ L\")\n",
    "axs[1].plot(widths, f01 * M, \"o-\", color=style.OPEN_NEMO, ms=4, label=\"f₀₁\")\n",
    "axs[1].plot(widths, f_sum * M, \"s-\", color=style.sweep(2)[0], ms=4, label=\"Σ_f f₀f (40 states)\")\n",
    "axs[1].axhline(256 / (27 * np.pi**2), ls=\"--\", color=style.REFERENCE, lw=1, label=\"256/27π²\")\n",
    "axs[1].set(xlabel=\"box width L (nm)\", ylabel=\"oscillator strength (m₀/m*)\", ylim=(0.9, 1.02),\n",
    "           title=\"oscillator strength: size independent\")\n",
    "axs[2].loglog(widths, A, \"o-\", color=style.OPEN_NEMO, ms=4)\n",
    "axs[2].set(xlabel=\"box width L (nm)\", ylabel=\"A₁₀ (1/s)\", xticks=[2, 3, 5, 10, 20],\n",
    "           title=f\"spontaneous emission, fit ∝ L^({slope:.2f})\")\n",
    "axs[2].xaxis.set_major_formatter(ScalarFormatter())\n",
    "axs[2].xaxis.set_minor_formatter(NullFormatter())\n",
    "for ax in axs[:2]:\n",
    "    ax.legend(fontsize=8, frameon=False)\n",
    "fig.tight_layout()\n",
    "print(f\"A10: {A[0]:.2e} 1/s at {widths[0]:.0f} nm, {A[-1]:.2e} 1/s at {widths[-1]:.0f} nm; \"\n",
    "      f\"power law L^{slope:.3f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "811e395e",
   "metadata": {},
   "source": [
    "So \"smaller dots give weaker optical coupling\" is a statement about the matrix element itself, the\n",
    "coupling energy $e\\mathcal{E}|x_{if}|$ at a given field, which is what this section is about. The\n",
    "absorption strength per transition, measured by the oscillator strength, does not depend on the size,\n",
    "and the radiative rate grows steeply as the box shrinks, here as $L^{-4}$ (the fit over 2–20 nm prints\n",
    "the exponent).\n",
    "\n",
    "## 4. Summary of section 22\n",
    "\n",
    "The lecture closes the section with its summary, which the three notebooks have now computed:\n",
    "\n",
    "- **Light couples states through the dipole matrix element.** The oscillating field adds\n",
    "  $H' = e\\mathcal{E}_0\\cos(\\omega t)\\,x$, which mixes the confined states; $\\mu_{if} = e\\int\\psi_i^*\\,x\\,\\psi_f\\,dx$\n",
    "  decides whether a transition happens, and the rate goes as $|\\mu_{if}|^2$ (lecture 22.1).\n",
    "- **Parity sets the selection rule.** Even ↔ odd: the integrand is even, $\\mu \\ne 0$, allowed (0 → 1,\n",
    "  1 → 2). Even ↔ even and odd ↔ odd: the integrand is odd, $\\mu = 0$, forbidden (0 → 2, 0 → 4, 1 → 3).\n",
    "  A transition is allowed only when $f - i$ is odd (lecture 22.2).\n",
    "- **The strength fades with the separation of the states and with the box size.**\n",
    "  $\\mu_{if} = \\frac{8eL}{\\pi^2}\\frac{if}{(f^2-i^2)^2}$: neighbouring levels couple most strongly, and\n",
    "  $\\mu \\propto i/f^3$ far apart; $\\mu \\propto L$, so smaller boxes give a weaker coupling at a given\n",
    "  field (this notebook).\n",
    "\n",
    "## Summary\n",
    "\n",
    "- The dipole matrix element of the box is $\\frac{8eL}{\\pi^2}\\frac{if}{(f^2-i^2)^2}$ for $f - i$ odd and zero\n",
    "  otherwise, with $i, f$ the sine quantum numbers (state label + 1); its sign is a phase convention.\n",
    "- open-nemo's discretized box reproduces every element, with an error that falls as $\\Delta^4$ (below\n",
    "  $10^{-8}$ nm on a 0.02 nm grid).\n",
    "- Far jumps are weak ($\\propto i/f^3$; ground state to level 40: four orders of magnitude below 0 → 1);\n",
    "  neighbouring levels are strongest and saturate at $2L/\\pi^2$.\n",
    "- $|x_{01}| = 0.180\\,L$ at every width, but the oscillator strength $f_{01} = 0.961\\,m_0/m^*$ is size\n",
    "  independent (Thomas–Reiche–Kuhn sum $m_0/m^*$), and the spontaneous emission rate grows as $L^{-4}$.\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Use `mu_analytic` to show that $\\sum_f |\\langle\\psi_0|x|\\psi_f\\rangle|^2 = \\langle\\psi_0|x^2|\\psi_0\\rangle$\n",
    "   (closure; the diagonal term vanishes because $\\langle x\\rangle = 0$ in the centred box) and evaluate\n",
    "   $\\langle x^2\\rangle$ numerically from `psi`.\n",
    "2. Replace the infinite box by a finite GaAs well in 0.25 eV barriers (layers of an\n",
    "   `EffectiveMassMaterial` with `conduction_band_edge=0.25`, as in lecture 22.2) and compute $|x_{01}|$\n",
    "   for widths from 3 to 20 nm. Where does it depart from $0.180L$, and why does it not keep shrinking?\n",
    "3. Compute the oscillator strengths $f_{0f}$ for $f = 1, 3, 5$ from the formula\n",
    "   ($f_{0f} = \\frac{2m^*}{\\hbar^2}(E_f - E_0)|x_{0f}|^2$ in units of $m_0/m^*$) and compare with\n",
    "   `optics.oscillator_strengths`.\n",
    "4. For the 1 → 2 transition (labels from 0), find how $A_{21}$ scales with $L$ and compare its value with\n",
    "   that of 0 → 1 at $L = 10$ nm.\n",
    "\n",
    "## Further reading\n",
    "\n",
    "- [Lecture 22.1: the dipole matrix element](22_1_dipole_matrix_element.ipynb) and\n",
    "  [Lecture 22.2: allowed and forbidden transitions](22_2_allowed_and_forbidden_transitions.ipynb).\n",
    "- [Optical transitions and absorption of quantum wells](../../book/02_kp_models/02_02_quantum_well_optics.ipynb):\n",
    "  the intersubband oscillator strength of a real GaAs/AlGaAs well against the infinite-well 0.961, and\n",
    "  full absorption spectra.\n",
    "- [Excitons in quantum wells and wires](../../book/05_ultra_thin_bodies/05_01_subbands_of_films_and_wells/05_01_04_excitons_in_wells_and_wires.ipynb):\n",
    "  how the Coulomb attraction redistributes the oscillator strength of interband transitions.\n",
    "- [GaAs momentum matrix elements: where the intra-atomic dipole sits](../../book/15_benchmarks/15_08_literature/15_08_01_parameter_sets/15_08_01_05_gaas_momentum_matrix_elements.ipynb).\n",
    "- L. C. West and S. J. Eglash, \"First observation of an extremely large-dipole infrared transition within\n",
    "  the conduction band of a GaAs quantum well\", Appl. Phys. Lett. 46, 1156 (1985): the intersubband\n",
    "  dipole of a real well.\n",
    "- D. J. Griffiths, *Introduction to Quantum Mechanics* (Cambridge University Press): the infinite square\n",
    "  well and the Thomas–Reiche–Kuhn sum rule."
   ]
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