@testitem "test_stochastic_definitions" begin
using Test
using QuantumOptics

@testset "stochastic_definitions" begin

n=20
b=FockBasis(n)
psi0 = fockstate(b, 0)
a = destroy(b)
ad = dagger(a)
H0 = ad*a

fdeterm, fstoch = stochastic.homodyne_carmichael(H0, a, 0.5π)
Y = 1.0im*(ad - a)
@test fdeterm(0.0, psi0) == H0 + expect(Y, psi0)*a - 0.5im*ad*a
@test fstoch(0.0, psi0)[1].data ≈ a.data

psi1 = 0.5*psi0
fdeterm1, fstoch = stochastic.homodyne_carmichael(H0, a, 0.5π; normalize_expect=false)
@test fdeterm1(0.0, psi1) == H0 + 0.5*expect(Y, psi0)*a - 0.5im*ad*a

end # testset
end