ASSAAD , F. F.

We study the dynamic response of ultracold bosons trapped in one-dimensional optical lattices using Quantum Monte Carlo simulations of the boson Hubbard model with a confining potential. The dynamic structure factor reveals the inhomogeneous nature of the low temperature state, which contains coexisting Mott insulator and superfluid regions. We...

We use the stochastic series expansion quantum Monte Carlo method, together with the eigenstate-to-Hamiltonian construction, to map the localized Bose glass ground state of the disordered two-dimensional Heisenberg model to excited states of new target Hamiltonians. The localized nature of the ground state is established by studying the...