QuantumOptics.jl is a numerical framework written in Julia that makes it easy to simulate various kinds of quantum systems. It is similar to the Quantum Optics Toolbox for MATLAB and its Python equivalent QuTiP.
using QuantumOptics
b = SpinBasis(1//2)
H = sigmap(b) + sigmam(b)
psi0 = spindown(b)
T = [0:0.1:1;]
tout, psit = timeevolution.schroedinger(T, psi0, H)More involved examples created using jupyter notebooks can be found at
https://bastikr.github.io/QuantumOptics.jl/examples.html
The documentation written with Sphinx using the Sphinx-Julia plugin is available at
https://bastikr.github.io/QuantumOptics.jl/