Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime

oleh: Ali Mokhtari-Jazi, Matthew R.C. Fitzpatrick, Malcolm P. Kennett

Format: Article
Diterbitkan: Elsevier 2023-12-01

Deskripsi

There 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.