LennartNaeve_code/merging_tweezer_code/bosons/2025_03_31 (investigate adiabatic ramping).ipynb
2025-04-25 20:52:11 +02:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import qutip as qt\n",
"import matplotlib.pyplot as plt\n",
"from scipy import constants as const\n",
"\n",
"#add relative path to backend\n",
"import sys\n",
"sys.path.append('../../clean_diag/backend')\n",
"\n",
"import trap_units as si"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def solve_hub(J,U,Delta,mu,V,DeltaJ,tau,\n",
" N_steps=1000):\n",
" \"\"\"\n",
" Solves and evolves (duration of tau) the Hubbard-Hamiltonian for the given\n",
" parameters and ramping. Input parameters as angular frequencies and U,Delta\n",
" as tuple of start and end value.\n",
" \"\"\"\n",
" Nmax = 2 # Maximum boson number per site (Hilbert space dimension d = Nmax+1)\n",
" d = Nmax + 1\n",
"\n",
" # --- Define Operators ---\n",
" # Single-site bosonic operators in the truncated Fock space\n",
" a = qt.destroy(d)\n",
" adag = a.dag()\n",
" n_op = adag * a\n",
"\n",
" # --- Construct Hamiltonian ---\n",
" # Hopping term: -J (a† ⊗ a + a ⊗ a†)\n",
" H_hop = -J* (qt.tensor(adag, a) + qt.tensor(a, adag))\n",
"\n",
" # Interaction term: (U/2) * [n(n-1)] on each site\n",
" # We subtract the identity appropriately to compute n(n-1)\n",
" H_int = 0.5*(qt.tensor(n_op * (n_op - qt.qeye(d)), qt.qeye(d)) +\n",
" qt.tensor(qt.qeye(d), n_op * (n_op - qt.qeye(d))))\n",
" # Define the time-dependent function for the interaction\n",
" def int_func(t, args):\n",
" return args['U0']+ (args['U1']-args['U0'])* t/args['tau']\n",
" int_args = {'U0': U[0], 'U1': U[1], 'tau': tau}\n",
" \n",
" # Chemical potential term (if desired)\n",
" H_mu = -mu* (qt.tensor(n_op, qt.qeye(d)) + qt.tensor(qt.qeye(d), n_op))\n",
"\n",
" #tilt potential\n",
" H_tilt = (1*qt.tensor(n_op, qt.qeye(d)) + 2*qt.tensor(qt.qeye(d), n_op))\n",
" # Define the time-dependent function for the tilt\n",
" def tilt_func(t, args):\n",
" return args['D0']+ (args['D1']-args['D0'])* t/args['tau']\n",
" tilt_args = {'D0': Delta[0], 'D1': Delta[1], 'tau': tau}\n",
"\n",
" #nearest neighbour interaction\n",
" H_nni = V* qt.tensor(n_op, qt.qeye(d)) * qt.tensor(qt.qeye(d), n_op)\n",
"\n",
" #density induced tunneling\n",
" H_dit = -DeltaJ* (qt.tensor(adag,a)* (qt.tensor(n_op,qt.qeye(d)) + qt.tensor(n_op,qt.qeye(d)) - 1) +\n",
" qt.tensor(a,adag)* (qt.tensor(n_op,qt.qeye(d)) + qt.tensor(n_op,qt.qeye(d)) - 1))\n",
"\n",
"\n",
" # Total Hamiltonian\n",
" H_static = H_hop + H_mu + H_nni + H_dit\n",
" H = [H_static, [H_int, int_func],[H_tilt, tilt_func]]\n",
" \n",
"\n",
"\n",
" # --- Define Initial State ---\n",
" # The product Fock state |1,1> (one boson per site)\n",
" psi0 = qt.tensor(qt.basis(d, 1), qt.basis(d, 1))\n",
"\n",
" # --- Time Evolution Setup ---\n",
" tlist = np.linspace(0, tau, N_steps) # Evolve from time 0 to 5 in 101 steps\n",
"\n",
" # We want to monitor the number operator expectation values at each site.\n",
" e_ops = [qt.tensor(n_op, qt.qeye(d)), qt.tensor(qt.qeye(d), n_op)]\n",
"\n",
" # Create an Options object with store_states=True\n",
" #opts = qt.Options(store_states=True, nsteps=10000)\n",
" opts = {\"store_states\": True, \"nsteps\": 10000}\n",
"\n",
" # Run the evolution and store the full state history\n",
" result = qt.sesolve(H, psi0, tlist, e_ops=e_ops, options=opts,\n",
" args=int_args | tilt_args)\n",
" \n",
" return tlist, result"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"----------------\n",
"\n",
"# Ramping the Interactions:"
]
},
{
"cell_type": "code",
"execution_count": 186,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-999.9999999999999 3000.0\n",
"1200.0 1200.0\n"
]
}
],
"source": [
"# --- Parameters ---\n",
"J = 2*np.pi* 100#Hz # Hopping amplitude\n",
"U = (2*np.pi* -1000, 2*np.pi* 3000) # On-site interaction strength\n",
"print(U[0]/2/np.pi,U[1]/2/np.pi)\n",
"Delta_const = 2*np.pi*1200\n",
"Delta = (Delta_const, Delta_const) #tilt\n",
"print(Delta[0]/2/np.pi,Delta[1]/2/np.pi)\n",
"\n",
"mu = 0.0 # Chemical potential (set to zero for simplicity)\n",
"V = 0. # nearest neighbour interaction energy (due to DDI)\n",
"DeltaJ = 0. # density induced tunneling\n",
"\n",
"tau = 20*si.ms #time duration of simulation\n",
"N_steps = int(1e3) #number of timesteps\n",
"\n",
"tlist, result = solve_hub(J,U,Delta, mu,V,DeltaJ,tau,N_steps=N_steps)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 187,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"fidelity: 0.987\n"
]
},
{
"data": {
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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"d=3\n",
"\n",
"# --- Extracting and Plotting State Vector Components ---\n",
"# Create an array of states; each state is flattened into a 1D array of length d^2\n",
"states = np.array([state.full().flatten() for state in result.states])\n",
"# Compute probabilities: squared magnitude of each component\n",
"probs = np.abs(states)**2\n",
"fid = np.mean(probs[-int(N_steps/5):, 2] + probs[-int(N_steps/5):, 6])\n",
"print(f\"fidelity: {fid:.3f}\")\n",
"\n",
"# Create labels for each basis state in the two-site Fock space\n",
"basis_labels = [f\"|{n0},{n1}>\" for n0 in range(d) for n1 in range(d)]\n",
"# Create a list of corresponding total particle numbers for each basis state\n",
"total_particles = [n0 + n1 for n0 in range(d) for n1 in range(d)]\n",
"\n",
"# Filter indices for basis states with exactly 2 particles\n",
"indices_2particles = [idx for idx, tot in enumerate(total_particles) if tot == 2]\n",
"labels_2particles = [basis_labels[idx] for idx in indices_2particles]\n",
"\n",
"# Plot the probability for each 2-particle basis state over time\n",
"plt.figure(figsize=(10, 6))\n",
"for idx, label in zip(indices_2particles, labels_2particles):\n",
" plt.plot(tlist, probs[:, idx], label=label)\n",
"plt.xlabel('Time [s]')\n",
"plt.ylabel('Probability')\n",
"plt.title('Time Evolution of Basis States with 2 Particles')\n",
"plt.legend(loc=\"upper right\", bbox_to_anchor=(1.25, 1))\n",
"plt.tight_layout()\n",
"plt.show()\n",
"\n",
"# --- Plot the Results ---\n",
"plt.figure(figsize=(8, 5))\n",
"plt.plot(tlist, result.expect[0], label='Site 0')\n",
"plt.plot(tlist, result.expect[1], label='Site 1')\n",
"plt.ylim(-0.1,2.1)\n",
"plt.xlabel('Time [s]')\n",
"plt.ylabel('Occupation number')\n",
"plt.title('Time Evolution of a 2-Site Bose-Hubbard Model')\n",
"plt.legend()\n",
"plt.grid(True)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Ramping the tilt instead:"
]
},
{
"cell_type": "code",
"execution_count": 133,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2223.7233954432318"
]
},
"execution_count": 133,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"9.93*const.value(\"Bohr magneton\")* 2*si.G/si.cm * 800*si.nm /const.h"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"20836.619123327575"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"1*si.uK *const.k / const.h"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [],
"source": [
"# --- Parameters ---\n",
"J = 2*np.pi* 100#Hz # Hopping amplitude\n",
"U_const = 2*np.pi* 1500\n",
"U = (U_const, 0*U_const) # On-site interaction strength\n",
"Delta = (2*np.pi* 0, 2*np.pi* 1500) #tilt\n",
"\n",
"mu = 0.0 # Chemical potential (set to zero for simplicity)\n",
"V = 0. # nearest neighbour interaction energy (due to DDI)\n",
"DeltaJ = 0. # density induced tunneling\n",
"\n",
"tau = 20*si.ms #time duration of simulation\n",
"N_steps = int(1e3) #number of timesteps\n",
"\n",
"tlist, result = solve_hub(J,U,Delta, mu,V,DeltaJ,tau,N_steps=N_steps)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"fidelity: 0.974\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"d=3\n",
"\n",
"# --- Extracting and Plotting State Vector Components ---\n",
"# Create an array of states; each state is flattened into a 1D array of length d^2\n",
"states = np.array([state.full().flatten() for state in result.states])\n",
"# Compute probabilities: squared magnitude of each component\n",
"probs = np.abs(states)**2\n",
"fid = np.mean(probs[-int(N_steps/5):, 6])\n",
"#fid = np.mean(probs[-int(N_steps/5):, 2] + probs[-int(N_steps/5):, 6])\n",
"print(f\"fidelity: {fid:.3f}\")\n",
"\n",
"# Create labels for each basis state in the two-site Fock space\n",
"basis_labels = [f\"|{n0},{n1}>\" for n0 in range(d) for n1 in range(d)]\n",
"# Create a list of corresponding total particle numbers for each basis state\n",
"total_particles = [n0 + n1 for n0 in range(d) for n1 in range(d)]\n",
"\n",
"# Filter indices for basis states with exactly 2 particles\n",
"indices_2particles = [idx for idx, tot in enumerate(total_particles) if tot == 2]\n",
"labels_2particles = [basis_labels[idx] for idx in indices_2particles]\n",
"\n",
"# Plot the probability for each 2-particle basis state over time\n",
"plt.figure(figsize=(10, 6))\n",
"for idx, label in zip(indices_2particles, labels_2particles):\n",
" plt.plot(tlist, probs[:, idx], label=label)\n",
"plt.xlabel('Time [s]')\n",
"plt.ylabel('Probability')\n",
"plt.title('Time Evolution of Basis States with 2 Particles')\n",
"plt.legend(loc=\"upper right\", bbox_to_anchor=(1.25, 1))\n",
"plt.tight_layout()\n",
"plt.show()\n",
"\n",
"# --- Plot the Results ---\n",
"plt.figure(figsize=(8, 5))\n",
"plt.plot(tlist, result.expect[0], label='Site 0')\n",
"plt.plot(tlist, result.expect[1], label='Site 1')\n",
"plt.ylim(-0.1,2.1)\n",
"plt.xlabel('Time [s]')\n",
"plt.ylabel('Occupation number')\n",
"plt.title('Time Evolution of a 2-Site Bose-Hubbard Model')\n",
"plt.legend()\n",
"plt.grid(True)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Set speed instead of time"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def solve_hub_vel(J,U,Delta,mu,V,DeltaJ,tau,\n",
" N_steps=1000):\n",
" \"\"\"\n",
" Solves and evolves (duration of tau) the Hubbard-Hamiltonian for the given\n",
" parameters and ramping. Input parameters as angular frequencies and U,Delta\n",
" as tuple of start value and speed of ramping.\n",
" \"\"\"\n",
" Nmax = 2 # Maximum boson number per site (Hilbert space dimension d = Nmax+1)\n",
" d = Nmax + 1\n",
"\n",
" # --- Define Operators ---\n",
" # Single-site bosonic operators in the truncated Fock space\n",
" a = qt.destroy(d)\n",
" adag = a.dag()\n",
" n_op = adag * a\n",
"\n",
" # --- Construct Hamiltonian ---\n",
" # Hopping term: -J (a† ⊗ a + a ⊗ a†)\n",
" H_hop = -J* (qt.tensor(adag, a) + qt.tensor(a, adag))\n",
"\n",
" # Interaction term: (U/2) * [n(n-1)] on each site\n",
" # We subtract the identity appropriately to compute n(n-1)\n",
" H_int = 0.5*(qt.tensor(n_op * (n_op - qt.qeye(d)), qt.qeye(d)) +\n",
" qt.tensor(qt.qeye(d), n_op * (n_op - qt.qeye(d))))\n",
" # Define the time-dependent function for the interaction\n",
" def int_func(t, args):\n",
" return args['U0']+ args['vel_U']* t\n",
" int_args = {'U0': U[0], 'vel_U': U[1]}\n",
" \n",
" # Chemical potential term (if desired)\n",
" H_mu = -mu* (qt.tensor(n_op, qt.qeye(d)) + qt.tensor(qt.qeye(d), n_op))\n",
"\n",
" #tilt potential\n",
" H_tilt = (1*qt.tensor(n_op, qt.qeye(d)) + 2*qt.tensor(qt.qeye(d), n_op))\n",
" # Define the time-dependent function for the tilt\n",
" def tilt_func(t, args):\n",
" return args['Delta0']+ args['vel_Delta']* t\n",
" tilt_args = {'Delta0': Delta[0], 'vel_Delta': Delta[1]}\n",
"\n",
" #nearest neighbour interaction\n",
" H_nni = V* qt.tensor(n_op, qt.qeye(d)) * qt.tensor(qt.qeye(d), n_op)\n",
"\n",
" #density induced tunneling\n",
" H_dit = -DeltaJ* (qt.tensor(adag,a)* (qt.tensor(n_op,qt.qeye(d)) + qt.tensor(n_op,qt.qeye(d)) - 1) +\n",
" qt.tensor(a,adag)* (qt.tensor(n_op,qt.qeye(d)) + qt.tensor(n_op,qt.qeye(d)) - 1))\n",
"\n",
"\n",
" # Total Hamiltonian\n",
" H_static = H_hop + H_mu + H_nni + H_dit\n",
" H = [H_static, [H_int, int_func],[H_tilt, tilt_func]]\n",
" \n",
"\n",
"\n",
" # --- Define Initial State ---\n",
" # The product Fock state |1,1> (one boson per site)\n",
" psi0 = qt.tensor(qt.basis(d, 1), qt.basis(d, 1))\n",
"\n",
" # --- Time Evolution Setup ---\n",
" tlist = np.linspace(0, tau, N_steps) # Evolve from time 0 to 5 in 101 steps\n",
"\n",
" # We want to monitor the number operator expectation values at each site.\n",
" e_ops = [qt.tensor(n_op, qt.qeye(d)), qt.tensor(qt.qeye(d), n_op)]\n",
"\n",
" # Create an Options object with store_states=True\n",
" #opts = qt.Options(store_states=True, nsteps=10000)\n",
" opts = {\"store_states\": True, \"nsteps\": 10000}\n",
"\n",
" # Run the evolution and store the full state history\n",
" result = qt.sesolve(H, psi0, tlist, e_ops=e_ops, options=opts,\n",
" args=int_args | tilt_args)\n",
" \n",
" return tlist, result"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-999.9999999999999 999.9999999999999\n",
"200000.0\n",
"0.0 0.0\n",
"0.01\n"
]
}
],
"source": [
"# --- Parameters ---\n",
"J = 2*np.pi* 100#Hz # Hopping amplitude\n",
"\n",
"U = (2*np.pi* -1000, 2*np.pi* 1000) # On-site interaction strength\n",
"print(U[0]/2/np.pi,U[1]/2/np.pi)\n",
"vel_U = 2*np.pi*4000/(20*si.ms)\n",
"print(vel_U/2/np.pi)\n",
"\n",
"Delta_const = 2*np.pi*0\n",
"Delta = (Delta_const, Delta_const) #tilt\n",
"print(Delta[0]/2/np.pi,Delta[1]/2/np.pi)\n",
"\n",
"mu = 0.0 # Chemical potential (set to zero for simplicity)\n",
"V = 0. # nearest neighbour interaction energy (due to DDI)\n",
"DeltaJ = 0. # density induced tunneling\n",
"\n",
"tau = abs(U[1]-U[0])/vel_U #time duration of simulation\n",
"print(tau)\n",
"N_steps = int(1e3) #number of timesteps\n",
"\n",
"tlist, result = solve_hub(J,U,Delta, mu,V,DeltaJ,tau,N_steps=N_steps)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"fidelity: 0.915\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"d=3\n",
"\n",
"# --- Extracting and Plotting State Vector Components ---\n",
"# Create an array of states; each state is flattened into a 1D array of length d^2\n",
"states = np.array([state.full().flatten() for state in result.states])\n",
"# Compute probabilities: squared magnitude of each component\n",
"probs = np.abs(states)**2\n",
"fid = np.mean(probs[-int(N_steps/5):, 2] + probs[-int(N_steps/5):, 6])\n",
"print(f\"fidelity: {fid:.3f}\")\n",
"\n",
"# Create labels for each basis state in the two-site Fock space\n",
"basis_labels = [f\"|{n0},{n1}>\" for n0 in range(d) for n1 in range(d)]\n",
"# Create a list of corresponding total particle numbers for each basis state\n",
"total_particles = [n0 + n1 for n0 in range(d) for n1 in range(d)]\n",
"\n",
"# Filter indices for basis states with exactly 2 particles\n",
"indices_2particles = [idx for idx, tot in enumerate(total_particles) if tot == 2]\n",
"labels_2particles = [basis_labels[idx] for idx in indices_2particles]\n",
"\n",
"# Plot the probability for each 2-particle basis state over time\n",
"plt.figure(figsize=(10, 6))\n",
"for idx, label in zip(indices_2particles, labels_2particles):\n",
" plt.plot(tlist, probs[:, idx], label=label)\n",
"plt.xlabel('Time [s]')\n",
"plt.ylabel('Probability')\n",
"plt.title('Time Evolution of Basis States with 2 Particles')\n",
"plt.legend(loc=\"upper right\", bbox_to_anchor=(1.25, 1))\n",
"plt.tight_layout()\n",
"plt.show()\n",
"\n",
"# --- Plot the Results ---\n",
"plt.figure(figsize=(8, 5))\n",
"plt.plot(tlist, result.expect[0], label='Site 0')\n",
"plt.plot(tlist, result.expect[1], label='Site 1')\n",
"plt.ylim(-0.1,2.1)\n",
"plt.xlabel('Time [s]')\n",
"plt.ylabel('Occupation number')\n",
"plt.title('Time Evolution of a 2-Site Bose-Hubbard Model')\n",
"plt.legend()\n",
"plt.grid(True)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Try to see what different speeds do:"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "base",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}