Quantum States of Matter of Simple Bosonic Systems: BEC's, Superfluids and Quantum Solids
Abstract
The phase diagram of a single component Bose system in a lattice at zero temperature and low density is obtained. We calculate the variational energies for the Mott insulating and superfluid phases. Below a certain critical density the Mott insulating phase is stable over the superfluid phase for low enough tunelling amplitude regardless of whether the number of bosons is or is not incommensurate with the lattice. The transition is discontinuous as the superfluid order parameter jumps from a finite value to zero at the Mott transition.
 Publication:

APS March Meeting Abstracts
 Pub Date:
 March 2004
 Bibcode:
 2004APS..MARS28012S