Institute for Theoretical Physics, Utrecht

Title: Quantum condensates and Mott insulating states of spin one bosons

Abstract: Motivated by recent experiments on spin one cold atoms, we have investigated quantum condensates and Mott insulating states of spin one atoms. Besides the conventional BECs, we find quantum condensates of fractionalized atoms where only a fraction of each spin one boson condenses. These novel condensates have remarkably distinct macroscopic properties and can be distinguished in experiments. In Mott insulating limits, we demonstrate that ground states are Gutzwiller projected quantum condensates. The quantum numbers of excitations depend on numbers of atoms per lattice site. These results are supported by the mappings from the problem of interacting spin one bosons to the bilinear-biquadratic model, to the Ising gauge field theory and to the quantum dimer model. We expect the properties summarized in this talk to be observed in future experiments. Finally we will briefly discuss some potential applications to quantum information storage or processing.