Speaker
Matthew Fitzpatrick
(Simon Fraser University)
Description
The Bose Hubbard model (BHM) is a minimal model that describes interacting
ultracold bosons in an optical lattice, allowing the opportunity for experiments
to probe quench dynamics of the model. Theoretically, it has proven
challenging to study spatio-temporal correlations in the BHM in dimensions
higher than one. We use the Schwinger-Keldysh technique and a strong-coupling
expansion to develop a two-particle irreducible formalism that allows the study
of spatio-temporal correlations in both the superfluid (SF) and Mott-insulating
(MI) regimes during a quantum quench for dimensions higher than one. We
obtain equations of motion for the superfluid order parameter and two-time
correlation functions and present numerical results for the evolution of these
functions. We relate our results to recent cold-atom experiments.
Primary author
Matthew Fitzpatrick
(Simon Fraser University)
Co-author
Malcolm Kennett
(Simon Fraser University)
