Created
April 21, 2017 22:12
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Broadcast performance problem in 0.6
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using BenchmarkTools | |
const ⊗ = kron | |
const ħ = 1.054571800E-34 # in Joules*seconds, 2014 CODATA | |
const ln2 = 0.6931471805599453 | |
function liouvillian(H) | |
Id = eye(H) | |
return -1im/ħ * (Id⊗H - H.'⊗Id) | |
end | |
function gaussian(x,w) | |
return exp(-4ln2*(x/w)^2) | |
end | |
# Drive | |
ωd = 3.956828566477119e10 | |
FWHM = 10E-9 | |
tf = 3*FWHM | |
tspan = (0.0,tf) | |
ϕ = 0.0 | |
# Matrices | |
Hc1 = [-1.59317e-23 0.0 0.0 0.0 0.0; 0.0 -1.1759e-23 0.0 0.0 0.0; 0.0 0.0 -7.72458e-24 0.0 0.0; 0.0 0.0 0.0 -3.83665e-24 0.0; 0.0 0.0 0.0 0.0 -1.05158e-25]; | |
Hd1 = [0.0 2.78341e-28 0.0 5.59519e-30 0.0; 2.78341e-28 0.0 3.87005e-28 0.0 1.17167e-29; 0.0 3.87005e-28 0.0 4.65186e-28 0.0; 5.59519e-30 0.0 4.65186e-28 0.0 5.26016e-28; 0.0 1.17167e-29 0.0 5.26016e-28 0.0]; | |
Lc = liouvillian(Hc1); | |
Ld = liouvillian(Hd1); | |
Nq1 = isqrt(size(Ld,1)) | |
ρ0 = zeros(Complex128,Nq1,Nq1); ρ0[1,1] = 1/sqrt(2); ρ0[2,2] = 1/sqrt(2) | |
Lc_diag = diag(Lc) | |
ϵ = 112 | |
function drivefun!(t,ρ,dρ) | |
A_mul_B!(dρ,Ld,ρ) | |
scale!(dρ,ϵ*gaussian(t-1.5FWHM,FWHM)*cos(ωd*t+ϕ)) | |
dρ .+= Lc_diag.*ρ | |
end | |
vecρ0 = copy(vec(ρ0)) | |
vecdρ = zeros(vecρ0) | |
@benchmark drivefun!($(3E-11),vecρ0,vecdρ) |
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