Compare the runtime of IonSim vs QuantumOptics

[marwahaha]

It will be hard to define a reference. Compare against quantumoptics.jl

[jbroz11]

I think it would be worthwhile just to illustrate how simulation times scale with eg.

• the size of the atomic Hilbert space
• the size of the vibrational Hilbert space
• the bandwidth of the RWA for some simple dynamics, like a blue sideband Rabi transition and a COM Molmer-Sorensen interaction.

We could also consider comparing the simulation times using our constructed Hamiltonian versus constructing an analogous Hamiltonian completely within the preconstructed framework of QuantumOptics.jl. If there's a substantial improvement in efficiency for certain classes of dynamics, it would be worth highlighting that.