Mokhtari-Jazi, AliFitzpatrick, Matthew R. C.Kennett, Malcolm P.2024-02-072024-02-0720232023Mokhtari-Jazi, A., Fitzpatrick, M. R. C., & Kennett, M. P. (2023). Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime. Nuclear Physics B, 997, 116386. https://doi.org/10.1016/j.nuclphysb.2023.116386https://doi.org/10.1016/j.nuclphysb.2023.116386http://hdl.handle.net/1828/15960There has been considerable interest in the disordered Bose Hubbard model (BHM) in recent years, particularly in the context of thermalization and many-body localization. We develop a two-particle irreducible (2PI) strong-coupling approach to the disordered BHM that allows us to treat both equilibrium and out-of-equilibrium situations. We obtain equations of motion for spatio-temporal correlations and explore their equilibrium solutions. We study the equilibrium phase diagram as a function of disorder strength and discuss applications of the formalism to out-of-equilibrium situations. We also note that the disorder strengths where the emergence of non-ergodic dynamics was observed in a recent experiment [Choi et al. (2016) [61]] appear to correspond to the Mott insulator – Bose Glass phase boundary.enArticle