The experimental success of trapping polar molecules and atoms with magnetic dipolar moments allows us to study many body systems where dipole-dipole interactions are significant. In this talk I will introduce path integral Quantum Monte Carlo, using the Worm algorithm, and use it to study the ground state phase diagram of dipolar bosons in a two-dimensional lattice.

I will then describe how the Worm algorithm can be modified to study pairing in a bilayer geometry. This extension to the Worm algorithm allows us to study the many body phases of these pairs. 

Finally I will describe the multiworm algorithm, which allows for the efficient study of chain formation in multilayered geometries. I will show how one can use this algorithm, in addition to analytical techniques such as bosonization, to study the physics of a stack of one-dimensional tubes of dipolar bosons.