At the more serious end; the quantum optics toolbox in python (QuTip) http://qutip.org/index.html http://qutip.org/index.html is what I used for my PhD research

At the more serious end; the quantum optics toolbox in python (QuTip) http://qutip.org/index.html http://qutip.org/index.html is what I used for my PhD research. Combined with Jupiter notebook http://jupyter.org/ http://jupyter.org/ it gives you a great sandbox to quickly setup Hamiltonians and plot their dynamics. It also has extensive docs and examples too. You can simulate simple systems in just a few lines of python.