# Developers:FutureTutorials:Worm Quantum MC

From ALPS

# Future tutorials for the worm algorithm

We already have a nice tutorial for the basic Bose-Hubbard model, but we need a tutorial for (these are suggestions):

- trapped bosons
- density profiles
- entropy calculations
- monitoring of measurement times. Adding density-density correlation functions may totally alter the behavior
- here too one can see slow equilibration times because of the large volume fractions in the trap edges that are rarely updated (unless further measures are taken)

- determination of the phase transition using finite size scaling (say in 2d -- needs update of existing tutorial)
- generic superfluid to Mott insulator transition where chemical potential is the tuning parameter
- the superfluid to Mott insulator transition at constant density at the tip of the lobe where interactions are the turning parameter
- Kosterlitz-Thouless normal to superfluid transition
- what may be missing, is a measurement of the "gap" in the MI from G(p=0, tau)

- optimize the lattice library (currently 2k per vertex!)