def test_hops_adaptive_dynamics_full():
"""
This is a test of the adaptive dynamics algorithm when threshold is small enough
that all states and hierarchy are included.
"""
hops_ah = HOPS(
sys_param,
noise_param=noise_param,
hierarchy_param={"MAXHIER": 2},
eom_param=eom_param,
)
hops_ah.make_adaptive(1e-15, 0)
hops_ah.initialize(psi_0)
hops_ah.propagate(t_max, t_step)
np.testing.assert_allclose(hops.psi_traj[33], hops_ah.psi_traj[33])
hops_as = HOPS(
sys_param,
noise_param=noise_param,
hierarchy_param={"MAXHIER": 2},
eom_param=eom_param,
)
hops_as.make_adaptive(0, 1e-100)
hops_as.initialize(psi_0)
hops_as.propagate(t_max, t_step)
np.testing.assert_allclose(hops.psi_traj[33], hops_as.psi_traj[33])
hops_a = HOPS(
sys_param,
noise_param=noise_param,
hierarchy_param={"MAXHIER": 2},
eom_param=eom_param,
)
hops_a.make_adaptive(1e-15, 1e-100)
hops_a.initialize(psi_0)
hops_a.propagate(t_max, t_step)
np.testing.assert_allclose(hops.psi_traj[33], hops_a.psi_traj[33])
def test_hops_adaptive_dynamics_partial():
"""
This is a test of the adaptive dynamics algorithm when threshold is large
enough that some states and auxiliaries are missing.
"""
# Test adaptive hierarchy
# =======================
hops_ah = HOPS(
sys_param,
noise_param=noise_param,
hierarchy_param={"MAXHIER": 2},
eom_param=eom_param,
)
hops_ah.make_adaptive(1e-3, 0)
hops_ah.initialize(psi_0)
hops_ah.propagate(t_max, t_step)
# Construct permutation for full-->reduced basis
# ----------------------------------------------
P2_permute = construct_permute_matrix(hops_ah.auxiliary_list,
hops_ah.state_list, hops)
# Permute super operators from hops into reduced basis
# ----------------------------------------------------
K0 = _permute_aux_by_matrix(hops.basis.eom.K2_k, P2_permute)
Kp1 = _permute_aux_by_matrix(hops.basis.eom.K2_kp1, P2_permute)
Km1 = _permute_aux_by_matrix(hops.basis.eom.K2_km1, P2_permute)
Zp1 = [
_permute_aux_by_matrix(hops.basis.eom.Z2_kp1[index_l2], P2_permute)
for index_l2 in hops_ah.basis.system.list_absindex_L2
]
Z0 = [
_permute_aux_by_matrix(hops.basis.eom.Z2_k[index_l2], P2_permute)
for index_l2 in hops_ah.basis.system.list_absindex_L2
]
# Compare reduced hops to adhops super operators
# ----------------------------------------------
assert (Kp1.todense() == hops_ah.basis.eom.K2_kp1.todense()).all()
assert (Km1.todense() == hops_ah.basis.eom.K2_km1.todense()).all()
assert (K0.todense() == hops_ah.basis.eom.K2_k.todense()).all()
assert np.all([
np.all(Z2_k_hops.todense() == Z2_k_adhops.todense())
for (Z2_k_hops, Z2_k_adhops) in zip(Z0, hops_ah.basis.eom.Z2_k)
])
assert np.all([
np.all(Z2_kp1_hops.todense() == Z2_kp1_adhops.todense())
for (Z2_kp1_hops, Z2_kp1_adhops) in zip(Zp1, hops_ah.basis.eom.Z2_kp1)
])
# Test adaptive system
# ====================
hops_ah = HOPS(
sys_param,
noise_param=noise_param,
hierarchy_param={"MAXHIER": 2},
eom_param=eom_param,
)
hops_ah.make_adaptive(0, 1e-3)
hops_ah.initialize(psi_0)
hops_ah.propagate(t_max, t_step)
# Construct permutation for full-->reduced basis
# ----------------------------------------------
P2_permute = construct_permute_matrix(hops_ah.auxiliary_list,
hops_ah.state_list, hops)
# Permute super operators from hops into reduced basis
# ----------------------------------------------------
K0 = _permute_aux_by_matrix(hops.basis.eom.K2_k, P2_permute)
Kp1 = _permute_aux_by_matrix(hops.basis.eom.K2_kp1, P2_permute)
Km1 = _permute_aux_by_matrix(hops.basis.eom.K2_km1, P2_permute)
Zp1 = [
_permute_aux_by_matrix(hops.basis.eom.Z2_kp1[index_l2], P2_permute)
for index_l2 in hops_ah.basis.system.list_absindex_L2
]
Z0 = [
_permute_aux_by_matrix(hops.basis.eom.Z2_k[index_l2], P2_permute)
for index_l2 in hops_ah.basis.system.list_absindex_L2
]
# Compare reduced hops to adhops super operators
# ----------------------------------------------
assert (Kp1.todense() == hops_ah.basis.eom.K2_kp1.todense()).all()
assert (Km1.todense() == hops_ah.basis.eom.K2_km1.todense()).all()
assert (K0.todense() == hops_ah.basis.eom.K2_k.todense()).all()
assert np.all([
np.all(Z2_k_hops.todense() == Z2_k_adhops.todense())
for (Z2_k_hops, Z2_k_adhops) in zip(Z0, hops_ah.basis.eom.Z2_k)
])
assert np.all([
np.all(Z2_kp1_hops.todense() == Z2_kp1_adhops.todense())
for (Z2_kp1_hops, Z2_kp1_adhops) in zip(Zp1, hops_ah.basis.eom.Z2_kp1)
])
# Test adaptive system and adaptive hierarchy
# ===========================================
hops_ah = HOPS(
sys_param,
noise_param=noise_param,
hierarchy_param={"MAXHIER": 2},
eom_param=eom_param,
)
hops_ah.make_adaptive(1e-3, 1e-3)
hops_ah.initialize(psi_0)
hops_ah.propagate(t_max, t_step)
# Construct permutation for full-->reduced basis
# ----------------------------------------------
P2_permute = construct_permute_matrix(hops_ah.auxiliary_list,
hops_ah.state_list, hops)
# Permute super operators from hops into reduced basis
# ----------------------------------------------------
K0 = _permute_aux_by_matrix(hops.basis.eom.K2_k, P2_permute)
Kp1 = _permute_aux_by_matrix(hops.basis.eom.K2_kp1, P2_permute)
Km1 = _permute_aux_by_matrix(hops.basis.eom.K2_km1, P2_permute)
Zp1 = [
_permute_aux_by_matrix(hops.basis.eom.Z2_kp1[index_l2], P2_permute)
for index_l2 in hops_ah.basis.system.list_absindex_L2
]
Z0 = [
_permute_aux_by_matrix(hops.basis.eom.Z2_k[index_l2], P2_permute)
for index_l2 in hops_ah.basis.system.list_absindex_L2
]
# Compare reduced hops to adhops super operators
# ----------------------------------------------
assert (Kp1.todense() == hops_ah.basis.eom.K2_kp1.todense()).all()
assert (Km1.todense() == hops_ah.basis.eom.K2_km1.todense()).all()
assert (K0.todense() == hops_ah.basis.eom.K2_k.todense()).all()
assert np.all([
np.all(Z2_k_hops.todense() == Z2_k_adhops.todense())
for (Z2_k_hops, Z2_k_adhops) in zip(Z0, hops_ah.basis.eom.Z2_k)
])
assert np.all([
np.all(Z2_kp1_hops.todense() == Z2_kp1_adhops.todense())
for (Z2_kp1_hops, Z2_kp1_adhops) in zip(Zp1, hops_ah.basis.eom.Z2_kp1)
])
def test_check_hierarchy_list():
"""
Test to make sure check_state_list is giving out correct stable and bound hierarchy
members
"""
noise_param = {
"SEED": 0,
"MODEL": "FFT_FILTER",
"TLEN": 250.0, # Units: fs
"TAU": 1.0, # Units: fs
}
nsite = 2
e_lambda = 20.0
gamma = 50.0
temp = 140.0
(g_0, w_0) = bcf_convert_sdl_to_exp(e_lambda, gamma, 0.0, temp)
loperator = np.zeros([2, 2, 2], dtype=np.float64)
gw_sysbath = []
lop_list = []
for i in range(nsite):
loperator[i, i, i] = 1.0
gw_sysbath.append([g_0, w_0])
lop_list.append(sp.sparse.coo_matrix(loperator[i]))
gw_sysbath.append([-1j * np.imag(g_0), 500.0])
lop_list.append(loperator[i])
hs = np.zeros([nsite, nsite], dtype=np.float64)
hs[0, 1] = 40
hs[1, 0] = 40
sys_param = {
"HAMILTONIAN": np.array(hs, dtype=np.complex128),
"GW_SYSBATH": gw_sysbath,
"L_HIER": lop_list,
"L_NOISE1": lop_list,
"ALPHA_NOISE1": bcf_exp,
"PARAM_NOISE1": gw_sysbath,
}
eom_param = {"EQUATION_OF_MOTION": "NORMALIZED NONLINEAR"}
integrator_param = {
"INTEGRATOR": "RUNGE_KUTTA",
"INCHWORM": False,
"INCHWORM_MIN": 5,
}
psi_0 = np.array([0.0] * nsite, dtype=np.complex)
psi_0[1] = 1.0
psi_0 = psi_0 / np.linalg.norm(psi_0)
hops_ad = HOPS(
sys_param,
noise_param=noise_param,
hierarchy_param={"MAXHIER": 4},
eom_param=eom_param,
integration_param=integrator_param,
)
hops_ad.make_adaptive(1e-3, 1e-3)
hops_ad.initialize(psi_0)
# inital hierarchy
z_step = [0, 0]
list_aux_stable, list_aux_boundary = hops_ad.basis._check_hierarchy_list(
hops_ad.phi, 2.0, z_step
)
known_stable = [
AuxiliaryVector([], 4),
AuxiliaryVector([(2, 1)], 4),
AuxiliaryVector([(3, 1)], 4),
]
assert np.array_equal(list_aux_stable, known_stable)
known_boundary = []
assert tuple(known_boundary) == tuple(list_aux_boundary)
# hierarchy after propagate
hops_ad.propagate(12.0, 2.0)
list_aux_stable, list_aux_boundary = hops_ad.basis._check_hierarchy_list(
hops_ad.phi, 2.0, z_step
)
known_stable = [
AuxiliaryVector([], 4),
AuxiliaryVector([(0, 1)], 4),
AuxiliaryVector([(1, 1)], 4),
AuxiliaryVector([(2, 1)], 4),
AuxiliaryVector([(3, 1)], 4),
AuxiliaryVector([(0, 1), (1, 1)], 4),
AuxiliaryVector([(1, 2)], 4),
AuxiliaryVector([(1, 1), (2, 1)], 4),
AuxiliaryVector([(1, 1), (3, 1)], 4),
AuxiliaryVector([(2, 2)], 4),
AuxiliaryVector([(2, 1), (3, 1)], 4),
AuxiliaryVector([(3, 2)], 4),
AuxiliaryVector([(1, 3)], 4),
AuxiliaryVector([(1, 2), (3, 1)], 4),
AuxiliaryVector([(1, 1), (3, 2)], 4),
AuxiliaryVector([(2, 2), (3, 1)], 4),
AuxiliaryVector([(2, 1), (3, 2)], 4),
AuxiliaryVector([(3, 3)], 4),
AuxiliaryVector([(1, 4)], 4),
AuxiliaryVector([(1, 3), (3, 1)], 4),
AuxiliaryVector([(2, 2), (3, 2)], 4),
AuxiliaryVector([(2, 1), (3, 3)], 4),
AuxiliaryVector([(3, 4)], 4),
]
assert list_aux_stable == known_stable
known_boundary = [
AuxiliaryVector([(1, 1), (3, 3)], 4),
AuxiliaryVector([(1, 2), (3, 2)], 4),
]
assert list_aux_boundary == known_boundary
def test_determine_boundary_hier():
"""
Test to make sure correct boundary hierarchy members are accounted for
"""
noise_param = {
"SEED": 0,
"MODEL": "FFT_FILTER",
"TLEN": 250.0, # Units: fs
"TAU": 1.0, # Units: fs
}
nsite = 2
e_lambda = 20.0
gamma = 50.0
temp = 140.0
(g_0, w_0) = bcf_convert_sdl_to_exp(e_lambda, gamma, 0.0, temp)
loperator = np.zeros([2, 2, 2], dtype=np.float64)
gw_sysbath = []
lop_list = []
for i in range(nsite):
loperator[i, i, i] = 1.0
gw_sysbath.append([g_0, w_0])
lop_list.append(sp.sparse.coo_matrix(loperator[i]))
gw_sysbath.append([-1j * np.imag(g_0), 500.0])
lop_list.append(loperator[i])
hs = np.zeros([nsite, nsite], dtype=np.float64)
hs[0, 1] = 40
hs[1, 0] = 40
sys_param = {
"HAMILTONIAN": np.array(hs, dtype=np.complex128),
"GW_SYSBATH": gw_sysbath,
"L_HIER": lop_list,
"L_NOISE1": lop_list,
"ALPHA_NOISE1": bcf_exp,
"PARAM_NOISE1": gw_sysbath,
}
eom_param = {"EQUATION_OF_MOTION": "NORMALIZED NONLINEAR"}
integrator_param = {
"INTEGRATOR": "RUNGE_KUTTA",
"INCHWORM": False,
"INCHWORM_MIN": 5,
}
psi_0 = np.array([0.0] * nsite, dtype=np.complex)
psi_0[1] = 1.0
psi_0 = psi_0 / np.linalg.norm(psi_0)
hops_ad = HOPS(
sys_param,
noise_param=noise_param,
hierarchy_param={"MAXHIER": 4},
eom_param=eom_param,
integration_param=integrator_param,
)
hops_ad.make_adaptive(1e-3, 1e-3)
hops_ad.initialize(psi_0)
# Creating flux up and flux down matrices for initial hierarchy
# flux down
flux_down = np.zeros((4, 3))
# flux up
flux_up = np.zeros((4, 3))
flux_up[2, 0] = 0.1
flux_up[3, 0] = 0.001
list_e2_kflux = np.array((flux_up, flux_down))
list_index_stable = [0, 1, 2]
list_aux_up, list_aux_down = hops_ad.basis._determine_boundary_hier(
list_e2_kflux, list_index_stable, 0.001
)
known_aux_up = [AuxiliaryVector([(2, 1)], 4)]
assert list_aux_up == known_aux_up
assert list_aux_down == []
# Creating flux up and flux down matrices for hierarchy after propagation
hops_ad.propagate(4.0, 2.0)
# flux up
flux_up = np.zeros((4, 12))
flux_up[0, 0] = 0.01
flux_up[0, 6] = 0.01
flux_up[1, 7] = 0.00004
flux_up[2, 3] = 0.1
flux_up[2, 10] = 0.00007
flux_up[3, 9] = 0.0011
# flux down
flux_down = np.zeros((4, 12))
flux_down[1, 1] = 0.1
flux_down[2, 2] = 0.1
flux_down[2, 10] = 0.1
flux_down[2, 6] = 0.00007
list_e2_kflux = np.array((flux_up, flux_down))
list_index_stable = [6, 4, 10, 11, 5, 7, 1, 9, 0, 3, 8, 2]
list_index_stable.sort()
list_aux_up, list_aux_down = hops_ad.basis._determine_boundary_hier(
list_e2_kflux, list_index_stable, 0.001
)
known_aux_up = [
AuxiliaryVector([(0, 1)], 4),
AuxiliaryVector([(0, 1), (2, 1), (3, 1)], 4),
AuxiliaryVector([(2, 1), (3, 1)], 4),
AuxiliaryVector([(3, 4)], 4),
]
assert list_aux_up == known_aux_up
assert list_aux_down == [
AuxiliaryVector([], 4),
AuxiliaryVector([], 4),
AuxiliaryVector([(3, 3)], 4),
]
def test_update_basis():
"""
Test to make sure the basis is getting properly updated and returning the updated
phi and dsystem_dt
"""
noise_param = {
"SEED": 0,
"MODEL": "FFT_FILTER",
"TLEN": 250.0, # Units: fs
"TAU": 1.0, # Units: fs
}
nsite = 10
e_lambda = 20.0
gamma = 50.0
temp = 140.0
(g_0, w_0) = bcf_convert_sdl_to_exp(e_lambda, gamma, 0.0, temp)
loperator = np.zeros([10, 10, 10], dtype=np.float64)
gw_sysbath = []
lop_list = []
for i in range(nsite):
loperator[i, i, i] = 1.0
gw_sysbath.append([g_0, w_0])
lop_list.append(sp.sparse.coo_matrix(loperator[i]))
gw_sysbath.append([-1j * np.imag(g_0), 500.0])
lop_list.append(loperator[i])
hs = np.zeros([nsite, nsite])
hs[0, 1] = 40
hs[1, 0] = 40
hs[1, 2] = 10
hs[2, 1] = 10
hs[2, 3] = 40
hs[3, 2] = 40
hs[3, 4] = 10
hs[4, 3] = 10
hs[4, 5] = 40
hs[5, 4] = 40
hs[5, 6] = 10
hs[6, 5] = 10
hs[6, 7] = 40
hs[7, 6] = 40
hs[7, 8] = 10
hs[8, 7] = 10
hs[8, 9] = 40
hs[9, 8] = 40
sys_param = {
"HAMILTONIAN": np.array(hs, dtype=np.complex128),
"GW_SYSBATH": gw_sysbath,
"L_HIER": lop_list,
"L_NOISE1": lop_list,
"ALPHA_NOISE1": bcf_exp,
"PARAM_NOISE1": gw_sysbath,
}
eom_param = {"EQUATION_OF_MOTION": "NORMALIZED NONLINEAR"}
integrator_param = {
"INTEGRATOR": "RUNGE_KUTTA",
"INCHWORM": False,
"INCHWORM_MIN": 5,
}
psi_0 = np.array([0.0] * nsite, dtype=np.complex)
psi_0[5] = 1.0
psi_0 = psi_0 / np.linalg.norm(psi_0)
hops_ad = HOPS(
sys_param,
noise_param=noise_param,
hierarchy_param={"MAXHIER": 4},
eom_param=eom_param,
integration_param=integrator_param,
)
hops_ad.make_adaptive(1e-3, 1e-3)
hops_ad.initialize(psi_0)
hops_ad.propagate(2, 2)
# state update
state_new = [3, 4, 5, 6, 7]
state_stable = [4, 5, 6]
state_bound = [3, 7]
state_update = (state_new, state_stable, state_bound)
# hierarchy update
hier_new = [
AuxiliaryVector([], 20),
AuxiliaryVector([(5, 1)], 20),
AuxiliaryVector([(9, 1)], 20),
AuxiliaryVector([(10, 1)], 20),
AuxiliaryVector([(11, 1)], 20),
AuxiliaryVector([(13, 1)], 20),
AuxiliaryVector([(14, 1)], 20),
AuxiliaryVector([(10, 1), (11, 1)], 20),
AuxiliaryVector([(11, 2)], 20),
AuxiliaryVector([(10, 1), (11, 2)], 20),
AuxiliaryVector([(11, 3)], 20),
AuxiliaryVector([(11, 4)], 20),
]
hier_stable = [
AuxiliaryVector([], 20),
AuxiliaryVector([(9, 1)], 20),
AuxiliaryVector([(10, 1)], 20),
AuxiliaryVector([(11, 1)], 20),
AuxiliaryVector([(10, 1), (11, 1)], 20),
AuxiliaryVector([(11, 2)], 20),
AuxiliaryVector([(10, 1), (11, 2)], 20),
AuxiliaryVector([(11, 3)], 20),
AuxiliaryVector([(11, 4)], 20),
]
hier_bound = [
AuxiliaryVector([(5, 1)], 20),
AuxiliaryVector([(13, 1)], 20),
AuxiliaryVector([(14, 1)], 20),
]
hier_update = (hier_new, hier_stable, hier_bound)
phi, _ = hops_ad.basis.update_basis(hops_ad.phi, state_update, hier_update)
P2 = hops_ad.phi.view().reshape([3, 9], order="F")
P2_new = phi.view().reshape([hops_ad.n_state, hops_ad.n_hier], order="F")
assert np.shape(P2) == np.shape(np.zeros((3, 9)))
assert np.shape(P2_new) == np.shape(np.zeros((5, 12)))
assert P2[1, 5] == P2_new[2, 8]
assert P2[1, 1] == P2_new[2, 2]
assert P2[1, 7] == P2_new[2, 10]
assert P2[2, 3] == P2_new[3, 4]
def test_check_state_list():
"""
Test to make sure check_state_list is giving out correct stable and bound states
"""
noise_param = {
"SEED": 0,
"MODEL": "FFT_FILTER",
"TLEN": 250.0, # Units: fs
"TAU": 1.0, # Units: fs
}
nsite = 10
e_lambda = 20.0
gamma = 50.0
temp = 140.0
(g_0, w_0) = bcf_convert_sdl_to_exp(e_lambda, gamma, 0.0, temp)
loperator = np.zeros([10, 10, 10], dtype=np.float64)
gw_sysbath = []
lop_list = []
for i in range(nsite):
loperator[i, i, i] = 1.0
gw_sysbath.append([g_0, w_0])
lop_list.append(sp.sparse.coo_matrix(loperator[i]))
gw_sysbath.append([-1j * np.imag(g_0), 500.0])
lop_list.append(loperator[i])
hs = np.zeros([nsite, nsite])
hs[0, 1] = 40
hs[1, 0] = 40
hs[1, 2] = 10
hs[2, 1] = 10
hs[2, 3] = 40
hs[3, 2] = 40
hs[3, 4] = 10
hs[4, 3] = 10
hs[4, 5] = 40
hs[5, 4] = 40
hs[5, 6] = 10
hs[6, 5] = 10
hs[6, 7] = 40
hs[7, 6] = 40
hs[7, 8] = 10
hs[8, 7] = 10
hs[8, 9] = 40
hs[9, 8] = 40
sys_param = {
"HAMILTONIAN": np.array(hs, dtype=np.complex128),
"GW_SYSBATH": gw_sysbath,
"L_HIER": lop_list,
"L_NOISE1": lop_list,
"ALPHA_NOISE1": bcf_exp,
"PARAM_NOISE1": gw_sysbath,
}
eom_param = {"EQUATION_OF_MOTION": "NORMALIZED NONLINEAR"}
integrator_param = {
"INTEGRATOR": "RUNGE_KUTTA",
"INCHWORM": False,
"INCHWORM_MIN": 5,
}
psi_0 = np.array([0.0] * nsite, dtype=np.complex)
psi_0[5] = 1.0
psi_0 = psi_0 / np.linalg.norm(psi_0)
hops_ad = HOPS(
sys_param,
noise_param=noise_param,
hierarchy_param={"MAXHIER": 2},
eom_param=eom_param,
integration_param=integrator_param,
)
hops_ad.make_adaptive(1e-3, 1e-3)
hops_ad.initialize(psi_0)
# before propagation
z_step = np.zeros(10)
list_index_aux_stable = [0, 1, 2]
list_stable_state, list_state_bound = hops_ad.basis._check_state_list(
hops_ad.phi, 2.0, z_step, list_index_aux_stable
)
known_states = [4, 5, 6]
assert np.array_equal(list_stable_state, known_states)
assert np.array_equal(list_state_bound, [])
# propagate
hops_ad.propagate(10.0, 2.0)
list_stable_state, list_state_bound = hops_ad.basis._check_state_list(
hops_ad.phi, 2.0, z_step, list_index_aux_stable
)
known_states = [4, 5, 6]
assert np.array_equal(list_stable_state, known_states)
known_boundary = [3, 7]
assert np.array_equal(list_state_bound, known_boundary)
def test_error_flux_down():
"""
test for the error induced by neglecting flux from H_0 (or H_S)
to auxiliaries with higher summed index in H_0^C.
"""
noise_param = {
"SEED": 0,
"MODEL": "FFT_FILTER",
"TLEN": 250.0, # Units: fs
"TAU": 1.0, # Units: fs
}
nsite = 2
e_lambda = 20.0
gamma = 50.0
temp = 140.0
(g_0, w_0) = bcf_convert_sdl_to_exp(e_lambda, gamma, 0.0, temp)
loperator = np.zeros([2, 2, 2], dtype=np.float64)
gw_sysbath = []
lop_list = []
for i in range(nsite):
loperator[i, i, i] = 1.0
gw_sysbath.append([g_0, w_0])
lop_list.append(sp.sparse.coo_matrix(loperator[i]))
gw_sysbath.append([-1j * np.imag(g_0), 500.0])
lop_list.append(loperator[i])
hs = np.zeros([nsite, nsite], dtype=np.float64)
hs[0, 1] = 40
hs[1, 0] = 40
sys_param = {
"HAMILTONIAN": np.array(hs, dtype=np.complex128),
"GW_SYSBATH": gw_sysbath,
"L_HIER": lop_list,
"L_NOISE1": lop_list,
"ALPHA_NOISE1": bcf_exp,
"PARAM_NOISE1": gw_sysbath,
}
eom_param = {"EQUATION_OF_MOTION": "NORMALIZED NONLINEAR"}
integrator_param = {
"INTEGRATOR": "RUNGE_KUTTA",
"INCHWORM": False,
"INCHWORM_MIN": 5,
}
psi_0 = np.array([0.0] * nsite, dtype=np.complex)
psi_0[1] = 1.0
psi_0 = psi_0 / np.linalg.norm(psi_0)
hops_ad = HOPS(
sys_param,
noise_param=noise_param,
hierarchy_param={"MAXHIER": 4},
eom_param=eom_param,
integration_param=integrator_param,
)
hops_ad.make_adaptive(1e-3, 1e-3)
hops_ad.initialize(psi_0)
error = hops_ad.basis.error_flux_down(hops_ad.phi, "H")
known_error = [[0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0]]
assert np.allclose(error, known_error)
hops_ad.propagate(4, 2)
known_error = [
[
0.00000000e00,
0.00000000e00,
0.00000000e00,
0.00000000e00,
0.00000000e00,
0.00000000e00,
0.00000000e00,
0.00000000e00,
0.00000000e00,
0.00000000e00,
0.00000000e00,
0.00000000e00,
],
[
0.00000000e00,
1.77300996e-06,
0.00000000e00,
0.00000000e00,
3.42275816e-07,
0.00000000e00,
0.00000000e00,
0.00000000e00,
0.00000000e00,
0.00000000e00,
0.00000000e00,
0.00000000e00,
],
[
0.00000000e00,
0.00000000e00,
1.11871052e-03,
0.00000000e00,
0.00000000e00,
3.12152420e-05,
3.51225702e-04,
0.00000000e00,
1.09725980e-04,
0.00000000e00,
3.31052922e-05,
0.00000000e00,
],
[
0.00000000e00,
0.00000000e00,
0.00000000e00,
2.36349134e-04,
0.00000000e00,
0.00000000e00,
8.74004868e-06,
7.42495639e-05,
2.73046762e-06,
2.30899011e-05,
8.23806071e-07,
7.44294797e-06,
],
]
error = hops_ad.basis.error_flux_down(hops_ad.phi, "H")
print(error)
assert np.allclose(error, known_error)
def test_error_sflux_hier():
"""
test for the error introduced by losing flux within k from S_0 to S_0^C
for each k in H_0
"""
noise_param = {
"SEED": 0,
"MODEL": "FFT_FILTER",
"TLEN": 250.0, # Units: fs
"TAU": 1.0, # Units: fs
}
nsite = 10
e_lambda = 20.0
gamma = 50.0
temp = 140.0
(g_0, w_0) = bcf_convert_sdl_to_exp(e_lambda, gamma, 0.0, temp)
loperator = np.zeros([10, 10, 10], dtype=np.float64)
gw_sysbath = []
lop_list = []
for i in range(nsite):
loperator[i, i, i] = 1.0
gw_sysbath.append([g_0, w_0])
lop_list.append(sp.sparse.coo_matrix(loperator[i]))
gw_sysbath.append([-1j * np.imag(g_0), 500.0])
lop_list.append(loperator[i])
hs = np.zeros([nsite, nsite])
hs[0, 1] = 40
hs[1, 0] = 40
hs[1, 2] = 10
hs[2, 1] = 10
hs[2, 3] = 40
hs[3, 2] = 40
hs[3, 4] = 10
hs[4, 3] = 10
hs[4, 5] = 40
hs[5, 4] = 40
hs[5, 6] = 10
hs[6, 5] = 10
hs[6, 7] = 40
hs[7, 6] = 40
hs[7, 8] = 10
hs[8, 7] = 10
hs[8, 9] = 40
hs[9, 8] = 40
sys_param = {
"HAMILTONIAN": np.array(hs, dtype=np.complex128),
"GW_SYSBATH": gw_sysbath,
"L_HIER": lop_list,
"L_NOISE1": lop_list,
"ALPHA_NOISE1": bcf_exp,
"PARAM_NOISE1": gw_sysbath,
}
eom_param = {"EQUATION_OF_MOTION": "NORMALIZED NONLINEAR"}
integrator_param = {
"INTEGRATOR": "RUNGE_KUTTA",
"INCHWORM": False,
"INCHWORM_MIN": 5,
}
psi_0 = np.array([0.0] * nsite, dtype=np.complex)
psi_0[5] = 1.0
psi_0 = psi_0 / np.linalg.norm(psi_0)
hops_ad = HOPS(
sys_param,
noise_param=noise_param,
hierarchy_param={"MAXHIER": 2},
eom_param=eom_param,
integration_param=integrator_param,
)
hops_ad.make_adaptive(1e-3, 1e-3)
hops_ad.initialize(psi_0)
E2_flux_state = hops_ad.basis.error_sflux_hier(hops_ad.phi, [4, 5, 6])
known_error = [0, 0, 0]
assert np.allclose(E2_flux_state, known_error)
hops_ad.propagate(10, 2)
E2_flux_state = hops_ad.basis.error_sflux_hier(hops_ad.phi, [4, 5, 6])
known_error = [
4.41017874e-08,
6.25730675e-12,
2.79827656e-09,
8.35537498e-11,
2.83286739e-09,
2.67725191e-09,
5.43756095e-10,
7.32738552e-11,
1.25275631e-13,
1.06073503e-11,
3.93302668e-10,
3.81794277e-10,
]
assert np.allclose(E2_flux_state, known_error)
def test_define_basis_state():
"""
Test to check whether the correct state basis is being calculated
"""
noise_param = {
"SEED": 0,
"MODEL": "FFT_FILTER",
"TLEN": 250.0, # Units: fs
"TAU": 1.0, # Units: fs
}
nsite = 10
e_lambda = 20.0
gamma = 50.0
temp = 140.0
(g_0, w_0) = bcf_convert_sdl_to_exp(e_lambda, gamma, 0.0, temp)
loperator = np.zeros([10, 10, 10], dtype=np.float64)
gw_sysbath = []
lop_list = []
for i in range(nsite):
loperator[i, i, i] = 1.0
gw_sysbath.append([g_0, w_0])
lop_list.append(sp.sparse.coo_matrix(loperator[i]))
gw_sysbath.append([-1j * np.imag(g_0), 500.0])
lop_list.append(loperator[i])
hs = np.zeros([nsite, nsite])
hs[0, 1] = 40
hs[1, 0] = 40
hs[1, 2] = 10
hs[2, 1] = 10
hs[2, 3] = 40
hs[3, 2] = 40
hs[3, 4] = 10
hs[4, 3] = 10
hs[4, 5] = 40
hs[5, 4] = 40
hs[5, 6] = 10
hs[6, 5] = 10
hs[6, 7] = 40
hs[7, 6] = 40
hs[7, 8] = 10
hs[8, 7] = 10
hs[8, 9] = 40
hs[9, 8] = 40
sys_param = {
"HAMILTONIAN": np.array(hs, dtype=np.complex128),
"GW_SYSBATH": gw_sysbath,
"L_HIER": lop_list,
"L_NOISE1": lop_list,
"ALPHA_NOISE1": bcf_exp,
"PARAM_NOISE1": gw_sysbath,
}
eom_param = {"EQUATION_OF_MOTION": "NORMALIZED NONLINEAR"}
integrator_param = {
"INTEGRATOR": "RUNGE_KUTTA",
"INCHWORM": False,
"INCHWORM_MIN": 5,
}
psi_0 = np.array([0.0] * nsite, dtype=np.complex)
psi_0[5] = 1.0
psi_0 = psi_0 / np.linalg.norm(psi_0)
hops_ad = HOPS(
sys_param,
noise_param=noise_param,
hierarchy_param={"MAXHIER": 2},
eom_param=eom_param,
integration_param=integrator_param,
)
hops_ad.make_adaptive(1e-3, 1e-3)
hops_ad.initialize(psi_0)
z_step = np.zeros(10)
state_update, _ = hops_ad.basis.define_basis(hops_ad.phi, 2.0, z_step)
# initial state
state_new, state_stable, state_bound = state_update
known_new = [4, 5, 6]
assert state_new == known_new
known_stable = [4, 5, 6]
assert tuple(state_stable) == tuple(known_stable)
known_bound = []
assert np.array_equal(state_bound, known_bound)
# state after propagation
hops_ad.propagate(10, 2)
state_update, _ = hops_ad.basis.define_basis(hops_ad.phi, 2.0, z_step)
state_new, state_stable, state_bound = state_update
known_new = [3, 4, 5, 6, 7]
assert state_new == known_new
known_stable = [4, 5, 6]
assert tuple(state_stable) == tuple(known_stable)
known_bound = [3, 7]
assert np.array_equal(state_bound, known_bound)
def test_store_step():
"""
Test to make sure that store_step is properly storing propagated values
"""
hops = HOPS(
sys_param,
noise_param=noise_param,
hierarchy_param=hier_param,
eom_param=eom_param,
integration_param=integrator_param,
)
hops.make_adaptive()
hops.initialize(psi_0)
hops.propagate(2.0, 2.0)
# time test
time = hops.storage.t
known_time = 2.0
assert time == known_time
# t_axis test
t_axis = hops.storage.t_axis
known_t_axis = [0, 2.0]
assert np.array_equal(t_axis, known_t_axis)
# z_mem test
z_mem = hops.storage.z_mem
known_z_mem = [
3.76011140e-03 + 0.0j,
1.88182635e-03 + 0.0j,
1.77699341e-08 + 0.0j,
8.88915173e-09 + 0.0j,
]
np.testing.assert_almost_equal(z_mem, known_z_mem, 8)
# aux storage False
aux = hops.storage.aux
known_aux = []
np.array_equal(aux, known_aux)
# state list test
state = hops.storage.state_list
known_state = [[0, 1], [0, 1]]
assert np.array_equal(state, known_state)
# phi test
phi = hops.storage.phi
assert len(phi) == hops.n_hier * hops.n_state
assert isinstance(phi, type(np.array([])))
assert isinstance(phi[0], np.complex128)
# psi test
psi_traj = hops.storage.psi_traj
known_psi_traj = [
[1.0 + 0.0j, 0j],
[0.999992832 - 0.00042642j, -4.06990909e-06 - 0.00376226j],
]
np.testing.assert_allclose(psi_traj[0], np.array([1.0 + 0.0j, 0j]))
np.testing.assert_allclose(psi_traj[1], hops.psi)
phi_traj = hops.storage.phi_traj
known_phi_traj = []
assert np.array_equal(phi_traj, known_phi_traj)
def test_error_sflux_hier():
"""
test for the error introduced by losing flux within k from S_0 to S_0^C
for each k in H_0
"""
noise_param = {
"SEED": 0,
"MODEL": "FFT_FILTER",
"TLEN": 250.0, # Units: fs
"TAU": 1.0, # Units: fs
}
nsite = 10
e_lambda = 20.0
gamma = 50.0
temp = 140.0
(g_0, w_0) = bcf_convert_sdl_to_exp(e_lambda, gamma, 0.0, temp)
loperator = np.zeros([10, 10, 10], dtype=np.float64)
gw_sysbath = []
lop_list = []
for i in range(nsite):
loperator[i, i, i] = 1.0
gw_sysbath.append([g_0, w_0])
lop_list.append(sp.sparse.coo_matrix(loperator[i]))
gw_sysbath.append([-1j * np.imag(g_0), 500.0])
lop_list.append(loperator[i])
hs = np.zeros([nsite, nsite])
hs[0, 1] = 40
hs[1, 0] = 40
hs[1, 2] = 10
hs[2, 1] = 10
hs[2, 3] = 40
hs[3, 2] = 40
hs[3, 4] = 10
hs[4, 3] = 10
hs[4, 5] = 40
hs[5, 4] = 40
hs[5, 6] = 10
hs[6, 5] = 10
hs[6, 7] = 40
hs[7, 6] = 40
hs[7, 8] = 10
hs[8, 7] = 10
hs[8, 9] = 40
hs[9, 8] = 40
sys_param = {
"HAMILTONIAN": np.array(hs, dtype=np.complex128),
"GW_SYSBATH": gw_sysbath,
"L_HIER": lop_list,
"L_NOISE1": lop_list,
"ALPHA_NOISE1": bcf_exp,
"PARAM_NOISE1": gw_sysbath,
}
eom_param = {"EQUATION_OF_MOTION": "NORMALIZED NONLINEAR"}
integrator_param = {
"INTEGRATOR": "RUNGE_KUTTA",
"INCHWORM": False,
"INCHWORM_MIN": 5,
}
psi_0 = np.array([0.0] * nsite, dtype=np.complex)
psi_0[5] = 1.0
psi_0 = psi_0 / np.linalg.norm(psi_0)
hops_ad = HOPS(
sys_param,
noise_param=noise_param,
hierarchy_param={"MAXHIER": 2},
eom_param=eom_param,
integration_param=integrator_param,
)
hops_ad.make_adaptive(1e-3, 1e-3)
hops_ad.initialize(psi_0)
E2_flux_state = hops_ad.basis.error_sflux_hier(hops_ad.phi, [4, 5, 6])
known_error = [0, 0, 0]
assert np.allclose(E2_flux_state, known_error)
hops_ad.propagate(10, 2)
E2_flux_state = hops_ad.basis.error_sflux_hier(hops_ad.phi, [4, 5, 6])
known_error = [
2.10004255e-04, 2.50146052e-06, 5.28986969e-05, 9.14077348e-06,
5.32245330e-05, 5.17421294e-05, 2.33186603e-05, 8.56003704e-06,
3.53943880e-07, 3.25690823e-06, 1.98318688e-05, 1.95396184e-05
]
assert np.allclose(E2_flux_state, known_error)
