Last active
August 29, 2015 14:23
-
-
Save amitjamadagni/e1f469c2beb951d3f6a6 to your computer and use it in GitHub Desktop.
Quantum Equation Addition : propmachinery.jl
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
################################################## | |
##### ##### | |
##### propmachinery.jl ##### | |
##### ##### | |
################################################## | |
abstract QuPropagatorMethod | |
abstract QuEquation | |
immutable SchrodingerEquation{H<:QuBase.AbstractQuMatrix} <: QuEquation | |
hamiltonian::H | |
SchrodingerEquation(hamiltonian) = new(hamiltonian) | |
end | |
SchrodingerEquation{H<:QuBase.AbstractQuMatrix}(hamiltonian::H) = SchrodingerEquation{H}(hamiltonian) | |
immutable LiouvillevonNeumannEquation{H<:QuBase.AbstractQuMatrix} <: QuEquation | |
liouvillian::H | |
LiouvillevonNeumannEquation(superoperator) = new(superoperator) | |
end | |
LiouvillevonNeumannEquation{H<:QuBase.AbstractQuMatrix}(liouvillian::H) = LiouvillevonNeumannEquation{H}(liouvillian) | |
immutable QuPropagator{QPM<:QuPropagatorMethod, QVM<:Union(QuBase.AbstractQuVector,QuBase.AbstractQuMatrix)} | |
eq | |
init_state::QVM | |
tlist | |
method::QPM | |
QuPropagator(eq, init_state, tlist, method) = new(eq, init_state, tlist, method) | |
end | |
QuPropagator{QPM<:QuPropagatorMethod, QV<:QuBase.AbstractQuVector}(eq::SchrodingerEquation, init_state::QV, tlist, method::QPM) = QuPropagator{QPM,QV}(eq, init_state, tlist, method) | |
QuPropagator{QPM<:QuPropagatorMethod, QV<:QuBase.AbstractQuVector}(param::QuBase.AbstractQuMatrix, init_state::QV, tlist, method::QPM) = QuPropagator{QPM,QV}(SchrodingerEquation(param),init_state, tlist, method) | |
QuPropagator{QPM<:QuPropagatorMethod, QM<:QuBase.AbstractQuMatrix}(eq::LiouvillevonNeumannEquation, init_state::QM, tlist, method::QPM) = QuPropagator{QPM,QM}(eq, init_state, tlist, method) | |
QuPropagator{QPM<:QuPropagatorMethod, QM<:QuBase.AbstractQuMatrix}(param::QuBase.AbstractQuMatrix, init_state::QM, tlist, method::QPM) = QuPropagator{QPM,QM}(LiouvillevonNeumannEquation(liouvillian_op(param)),init_state, tlist, method) | |
immutable QuPropagatorState | |
psi | |
t | |
t_state | |
end | |
function Base.start(prob::QuPropagator) | |
init_state = prob.init_state | |
t_state = start(prob.tlist) | |
t,t_state = next(prob.tlist,t_state) | |
return QuPropagatorState(init_state,t,t_state) | |
end | |
function operator(qu_eq::LiouvillevonNeumannEquation) | |
return qu_eq.liouvillian | |
end | |
function operator(qu_eq::SchrodingerEquation) | |
return qu_eq.hamiltonian | |
end | |
function Base.next{QPM<:QuPropagatorMethod}(prob::QuPropagator{QPM}, qustate::QuPropagatorState) | |
current_qustate = qustate.psi | |
current_t = qustate.t | |
t,t_state = next(prob.tlist, qustate.t_state) | |
next_qustate = propagate(prob.method, prob.eq, t, current_t, current_qustate) | |
return (t, next_qustate), QuPropagatorState(next_qustate, t, t_state) | |
end | |
Base.done(prob::QuPropagator, qustate::QuPropagatorState) = done(prob.tlist, qustate.t_state) | |
function liouvillian_op(h::QuBase.AbstractQuMatrix) | |
# number of basis functions | |
nb = size(coeffs(h), 1) | |
# construct Lindblad superoperator | |
SI = Array(Int,0) | |
SJ = Array(Int,0) | |
Lvals = Array(Complex128,0) | |
for m=1:nb | |
for n=1:nb | |
for i=1:nb | |
for j=1:nb | |
sm = (n-1)*nb + m | |
sj = (j-1)*nb + i | |
lv = zero(Complex128) | |
if j==n | |
lv = lv - im*h[m,i] | |
end | |
if i==m | |
lv = lv + im*h[j,n] | |
end | |
if real(lv)!=0 || imag(lv)!=0 | |
push!(SI, sm) | |
push!(SJ, sj) | |
push!(Lvals, lv) | |
end | |
end | |
end | |
end | |
end | |
return QuArray(sparse(SI, SJ, Lvals, nb*nb, nb*nb)) | |
end | |
function liouvillian_tensor(h::QuBase.AbstractQuMatrix) | |
return -im*(tensor(eye(h), h) - tensor(h',eye(h))) | |
end |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment