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test_mcsolve_f90.py
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test_mcsolve_f90.py
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# This file is part of QuTiP: Quantum Toolbox in Python.
#
# Copyright (c) 2011 and later, Paul D. Nation and Robert J. Johansson.
# All rights reserved.
#
# Redistribution and use in source and binary forms, with or without
# modification, are permitted provided that the following conditions are
# met:
#
# 1. Redistributions of source code must retain the above copyright notice,
# this list of conditions and the following disclaimer.
#
# 2. Redistributions in binary form must reproduce the above copyright
# notice, this list of conditions and the following disclaimer in the
# documentation and/or other materials provided with the distribution.
#
# 3. Neither the name of the QuTiP: Quantum Toolbox in Python nor the names
# of its contributors may be used to endorse or promote products derived
# from this software without specific prior written permission.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
# PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
# HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
# SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
# LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
# DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
# THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
# (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
# OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
###############################################################################
from qutip import *
from numpy import allclose, linspace, mean, ones
from numpy.testing import assert_equal, run_module_suite
from numpy.testing.decorators import skipif
import unittest
# find fortran files if they exist
try:
from qutip.fortran import qutraj_run
except:
fortran_found = 0
else:
fortran_found = 1
kappa = 0.2
def sqrt_kappa(t, args):
return sqrt(kappa)
def sqrt_kappa2(t, args):
return sqrt(kappa * exp(-t))
def const_H1_coeff(t, args):
return 0.0
# average error for failure
mc_error = 5e-2 # 5% for ntraj=500
@unittest.skipIf(fortran_found == 0, 'fortran files not found')
def test_MCNoCollExpt():
"mcsolve_f90: Constant H with no collapse ops (expect)"
error = 1e-8
N = 10 # number of basis states to consider
a = destroy(N)
H = a.dag() * a
psi0 = basis(N, 9) # initial state
kappa = 0.2 # coupling to oscillator
c_op_list = []
tlist = linspace(0, 10, 100)
mcdata = mcsolve_f90(H, psi0, tlist, c_op_list, [a.dag() * a])
expt = mcdata.expect[0]
actual_answer = 9.0 * ones(len(tlist))
diff = mean(abs(actual_answer - expt) / actual_answer)
assert_equal(diff < error, True)
@unittest.skipIf(fortran_found == 0, 'fortran files not found')
def test_MCNoCollStates():
"mcsolve_f90: Constant H with no collapse ops (states)"
error = 1e-8
N = 10 # number of basis states to consider
a = destroy(N)
H = a.dag() * a
psi0 = basis(N, 9) # initial state
kappa = 0.2 # coupling to oscillator
c_op_list = []
tlist = linspace(0, 10, 100)
mcdata = mcsolve_f90(H, psi0, tlist, c_op_list, [])
states = mcdata.states
expt = expect(a.dag() * a, states)
actual_answer = 9.0 * ones(len(tlist))
diff = mean(abs(actual_answer - expt) / actual_answer)
assert_equal(diff < error, True)
@unittest.skipIf(fortran_found == 0, 'fortran files not found')
def test_MCSimpleConst():
"mcsolve_f90: Constant H with constant collapse"
N = 10 # number of basis states to consider
a = destroy(N)
H = a.dag() * a
psi0 = basis(N, 9) # initial state
kappa = 0.2 # coupling to oscillator
c_op_list = [sqrt(kappa) * a]
tlist = linspace(0, 10, 100)
mcdata = mcsolve_f90(H, psi0, tlist, c_op_list, [a.dag() * a])
expt = mcdata.expect[0]
actual_answer = 9.0 * exp(-kappa * tlist)
avg_diff = mean(abs(actual_answer - expt) / actual_answer)
assert_equal(avg_diff < mc_error, True)
@unittest.skipIf(fortran_found == 0, 'fortran files not found')
def test_MCSimpleSingleCollapse():
"""mcsolve_f90: Constant H with single collapse operator"""
N = 10 # number of basis states to consider
a = destroy(N)
H = a.dag() * a
psi0 = basis(N, 9) # initial state
kappa = 0.2 # coupling to oscillator
c_op_list = [sqrt(kappa) * a]
tlist = linspace(0, 10, 100)
mcdata = mcsolve_f90(H, psi0, tlist, c_op_list, [a.dag() * a])
expt = mcdata.expect[0]
actual_answer = 9.0 * exp(-kappa * tlist)
avg_diff = mean(abs(actual_answer - expt) / actual_answer)
assert_equal(avg_diff < mc_error, True)
@unittest.skipIf(fortran_found == 0, 'fortran files not found')
def test_MCSimpleSingleExpect():
"""mcsolve_f90: Constant H with single expect operator"""
N = 10 # number of basis states to consider
a = destroy(N)
H = a.dag() * a
psi0 = basis(N, 9) # initial state
kappa = 0.2 # coupling to oscillator
c_op_list = [sqrt(kappa) * a]
tlist = linspace(0, 10, 100)
mcdata = mcsolve_f90(H, psi0, tlist, c_op_list, [a.dag() * a])
expt = mcdata.expect[0]
actual_answer = 9.0 * exp(-kappa * tlist)
avg_diff = mean(abs(actual_answer - expt) / actual_answer)
assert_equal(avg_diff < mc_error, True)
@unittest.skipIf(fortran_found == 0, 'fortran files not found')
def test_mcf90_dtypes1():
"mcsolve_f90: check for correct dtypes (average_states=True)"
# set system parameters
kappa = 2.0 # mirror coupling
gamma = 0.2 # spontaneous emission rate
g = 1 # atom/cavity coupling strength
wc = 0 # cavity frequency
w0 = 0 # atom frequency
wl = 0 # driving frequency
E = 0.5 # driving amplitude
N = 5 # number of cavity energy levels (0->3 Fock states)
tlist = linspace(0, 10, 5) # times for expectation values
# construct Hamiltonian
ida = qeye(N)
idatom = qeye(2)
a = tensor(destroy(N), idatom)
sm = tensor(ida, sigmam())
H = (w0 - wl) * sm.dag() * sm + (wc - wl) * a.dag() * a + \
1j * g * (a.dag() * sm - sm.dag() * a) + E * (a.dag() + a)
# collapse operators
C1 = sqrt(2 * kappa) * a
C2 = sqrt(gamma) * sm
C1dC1 = C1.dag() * C1
C2dC2 = C2.dag() * C2
# intial state
psi0 = tensor(basis(N, 0), basis(2, 1))
opts = Options(average_expect=True)
data = mcsolve_f90(
H, psi0, tlist, [C1, C2], [C1dC1, C2dC2, a], ntraj=5, options=opts)
assert_equal(isinstance(data.expect[0][1], float), True)
assert_equal(isinstance(data.expect[1][1], float), True)
assert_equal(isinstance(data.expect[2][1], complex), True)
@unittest.skipIf(fortran_found == 0, 'fortran files not found')
def test_mcf90_dtypes2():
"mcsolve_f90: check for correct dtypes (average_states=False)"
# set system parameters
kappa = 2.0 # mirror coupling
gamma = 0.2 # spontaneous emission rate
g = 1 # atom/cavity coupling strength
wc = 0 # cavity frequency
w0 = 0 # atom frequency
wl = 0 # driving frequency
E = 0.5 # driving amplitude
N = 5 # number of cavity energy levels (0->3 Fock states)
tlist = linspace(0, 10, 5) # times for expectation values
# construct Hamiltonian
ida = qeye(N)
idatom = qeye(2)
a = tensor(destroy(N), idatom)
sm = tensor(ida, sigmam())
H = (w0 - wl) * sm.dag() * sm + (wc - wl) * a.dag() * a + \
1j * g * (a.dag() * sm - sm.dag() * a) + E * (a.dag() + a)
# collapse operators
C1 = sqrt(2 * kappa) * a
C2 = sqrt(gamma) * sm
C1dC1 = C1.dag() * C1
C2dC2 = C2.dag() * C2
# intial state
psi0 = tensor(basis(N, 0), basis(2, 1))
opts = Options(average_expect=False)
data = mcsolve_f90(
H, psi0, tlist, [C1, C2], [C1dC1, C2dC2, a], ntraj=5, options=opts)
assert_equal(isinstance(data.expect[0][0][1], float), True)
assert_equal(isinstance(data.expect[0][1][1], float), True)
assert_equal(isinstance(data.expect[0][2][1], complex), True)
if __name__ == "__main__":
run_module_suite()