diff --git a/tutorials/ats-coupler/0-resonator-ats-resonator.ipynb b/tutorials/ats-coupler/0-resonator-ats-resonator.ipynb
index 605e2bc..dc63222 100644
--- a/tutorials/ats-coupler/0-resonator-ats-resonator.ipynb
+++ b/tutorials/ats-coupler/0-resonator-ats-resonator.ipynb
@@ -208,6 +208,26 @@
     "H_static = H_full - qs.ATS.get_H_nonlinear_static(phi_op, ATS_Ej, ATS_dEj, ATS_Ej2, phi_sum, phi_delta)"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Array(0., dtype=float64)"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "jnp.max(jnp.abs((H_static - H_full).data ))"
+   ]
+  },
   {
    "cell_type": "code",
    "execution_count": 6,
@@ -261,6 +281,78 @@
     "# Run Sweep"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Calculate Dephasing"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def res_a_energies(phi_ext):\n",
+    "    metrics, system, ϕ0, metrics0, system0 = get_metrics_normal_rar({\n",
+    "        \"ATS__phi_sum_ext\": phi_ext[0],\n",
+    "        \"ATS__phi_delta_ext\": phi_ext[1],\n",
+    "    })\n",
+    "\n",
+    "    Es = metrics[\"E\"]\n",
+    "\n",
+    "    res_a = Es[1,0,0] - Es[0,0,0]\n",
+    "    return res_a \n",
+    "\n",
+    "dephasing_a_phi_sum = jit(grad(res_a_energies))\n",
+    "\n",
+    "def res_b_energies(phi_ext):\n",
+    "    metrics, system, ϕ0, metrics0, system0 = get_metrics_normal_rar({\n",
+    "        \"ATS__phi_sum_ext\": phi_ext[0],\n",
+    "        \"ATS__phi_delta_ext\": phi_ext[1],\n",
+    "    })\n",
+    "\n",
+    "    Es = metrics[\"E\"]\n",
+    "\n",
+    "    res_b = Es[0,0,1] - Es[0,0,0]\n",
+    "    return res_b\n",
+    "\n",
+    "dephasing_a_phi_sum = jit(grad(res_a_energies))\n",
+    "dephasing_b_phi_sum = jit(grad(res_b_energies))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "bias_point = jnp.array([0.25, 0.25])\n",
+    "dEa_dphi = dephasing_a_phi_sum(bias_point)\n",
+    "dEb_dphi = dephasing_b_phi_sum(bias_point)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 28,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(Array([0., 0.], dtype=float64), Array([0., 0.], dtype=float64))"
+      ]
+     },
+     "execution_count": 28,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "dEa_dphi, dEb_dphi"
+   ]
+  },
   {
    "cell_type": "markdown",
    "metadata": {},
diff --git a/tutorials/ats-coupler/rar_helpers.py b/tutorials/ats-coupler/rar_helpers.py
index 385dcde..0bf5f9d 100644
--- a/tutorials/ats-coupler/rar_helpers.py
+++ b/tutorials/ats-coupler/rar_helpers.py
@@ -288,5 +288,6 @@ def get_metrics_normal_rar(params):
     metrics = {}
     metrics["K_a"] = K_a
     metrics["K_b"] = K_b
+    metrics["E"] = Es
 
     return metrics, system, ϕ0, metrics0, system0
\ No newline at end of file