def _toSLH(self):
S = identity_matrix(1)
if self.sub_index == 1:
L = sqrt(self.gamma_p) * Matrix([[LocalSigma(self.space, 'g', 'r')]])
elif self.sub_index == 2:
L = sqrt(self.gamma_p) * Matrix([[LocalSigma(self.space, 'h', 'r')]])
else:
raise Exception(str(self.sub_index))
return SLH(S, L, 0)
def setup_qnet_sys(n_cavity,
stark_shift=False,
zero_phi=True,
keep_delta=False,
slh=True):
"""Return the effective SLH model (if `slh` is True) or a the symbolic
circuit (if `slh` is False) for a two-node network, together with the
symbols and operators in each node"""
Sym1, Op1 = qnet_node_system('1',
n_cavity,
zero_phi=zero_phi,
keep_delta=keep_delta)
Sym2, Op2 = qnet_node_system('2',
n_cavity,
zero_phi=zero_phi,
keep_delta=keep_delta)
if slh:
H1 = node_hamiltonian(Sym1,
Op1,
stark_shift=stark_shift,
zero_phi=zero_phi,
keep_delta=keep_delta)
H2 = node_hamiltonian(Sym2,
Op2,
stark_shift=stark_shift,
zero_phi=zero_phi,
keep_delta=keep_delta)
S = identity_matrix(1)
κ = Sym1['kappa']
L1 = sympy.sqrt(2 * κ) * Op1['a']
κ = Sym2['kappa']
L2 = sympy.sqrt(2 * κ) * Op2['a']
SLH1 = SLH(S, [
L1,
], H1)
SLH2 = SLH(S, [
L2,
], H2)
Node1 = CircuitSymbol("Node1", cdim=1)
Node2 = CircuitSymbol("Node2", cdim=1)
components = [Node1, Node2]
connections = [
((Node1, 0), (Node2, 0)),
]
circuit = connect(components, connections)
if slh:
network = circuit.substitute({Node1: SLH1, Node2: SLH2})
else:
network = circuit
return network, Sym1, Op1, Sym2, Op2
def _toSLH(self):
S = identity_matrix(1)
if self.sub_index == 1:
L = sqrt(self.gamma) * Matrix([[LocalSigma(self.space, 'g', 'r')]])
elif self.sub_index == 2:
L = sqrt(self.gamma) * Matrix([[LocalSigma(self.space, 'h', 'r')]])
else:
raise Exception(str(self.sub_index))
return SLH(S, L, 0)
def _toSLH(self):
a = Destroy(self.space)
a_d = a.adjoint()
S = identity_matrix(1)
# Include the Hamiltonian only with the first port of the kerr cavity circuit object
H = self.Delta * a_d * a + (I / 2) * (self.alpha * a_d * a_d - self.alpha.conjugate() * a * a)
L = Matrix([[sqrt(self.kappa) * a]])
return SLH(S, L, H)
def _toSLH(self):
a = Destroy(self.space)
a_d = a.adjoint()
S = identity_matrix(1)
kappas = [self.kappa_1, self.kappa_2, self.kappa_3]
kappa = kappas[self.sub_index]
L = Matrix([[sqrt(kappa) * a]])
# Include the Hamiltonian only with the first port of the kerr cavity circuit object
H = self.Delta * (a_d * a) + self.chi * (a_d * a_d * a * a) if self.sub_index == 0 else 0
return SLH(S, L, H)
def _toSLH(self):
a = Destroy(self.space)
a_d = a.adjoint()
S = identity_matrix(1)
kappas = [self.kappa_1, self.kappa_2, self.kappa_3]
kappa = kappas[self.sub_index]
L = Matrix([[sqrt(kappa) * a]])
# Include the Hamiltonian only with the first port of the kerr cavity circuit object
H = self.Delta * (a_d * a) + self.chi * (
a_d * a_d * a * a) if self.sub_index == 0 else 0
return SLH(S, L, H)
def _toSLH(self):
a = Destroy(self.space)
a_d = a.adjoint()
S = identity_matrix(1)
if self.sub_index == 0:
# Include the Hamiltonian only with the first port of the kerr cavity circuit object
H = self.Delta * (a_d * a)
L = Matrix([[sqrt(self.kappa_1) * a]])
else:
H = 0
L = Matrix([[sqrt(self.kappa_2) * a]])
return SLH(S, L, H)
def slh_map_2chan_chain(components, n_cavity):
n_nodes = len(components)
slh_map = {}
for i in range(n_nodes):
ind = i + 1
Sym, Op = qnet_node_system(node_index='%d' % ind, n_cavity=n_cavity)
S = identity_matrix(2)
kappa_l, kappa_r = symbols("kappa_%dl, kappa_%dr" % (ind, ind),
positive=True)
L = [
sympy.sqrt(2 * kappa_l) * Op['a'],
sympy.sqrt(2 * kappa_r) * Op['a']
]
H = node_hamiltonian(Sym, Op)
slh_map[components[i]] = SLH(S, L, H)
return slh_map
