Developers:FutureTutorials:Worm Quantum MC

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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!)